| | |
| | | 液压缸和前述的液压马达同属于液压传动系统中的执行元件。液压缸是一种将液压油液的压力能转换为机械能,驱动工作装置做往复直线运动或往复摆动的能量转换装置。液压缸的结构简单、工作可靠,与杠杆、连杆、齿轮齿条、棘轮棘爪、凸轮等机构配合还能实现多种机械运动,因此在液压传动系统中得到了广泛的应用。 |
| | | </p> |
| | | <p class="titleQuot-c">5.1 液压缸的分类和特点</p> |
| | | <div class="img-rights-phone w330"> |
| | | <div class="video-box"> |
| | | <p class="center text"> |
| | | <video :src="videoPathOne" webkit-playsinline="true" x-webkit-airplay="true" |
| | | playsinline="true" x5-video-orientation="h5" x5-video-player-fullscreen="true" |
| | | x5-playsinline="" controls controlslist="nodownload" class="w100 video" |
| | | style=" border-radius: 10px; "></video> |
| | | </p> |
| | | <p class="center videoname"> |
| | | <span>视频:液压缸的分类和特点 </span> |
| | | <el-tooltip class="item" effect="dark" |
| | | :content="chapterData.isCollectVideo ? '点击取消' : '点击收藏'" placement="top-start"> |
| | | <img :src="collectResourceList.findIndex(item => item.id == '9b566a3e055c0e59933c2141a6837604') > -1 ? collectCheck : collectImg" |
| | | alt="" class="collect-btn" @click="handleCollect('video-01')" /> |
| | | </el-tooltip> |
| | | </p> |
| | | </div> |
| | | </div> |
| | | <span> |
| | | <p class="content"> |
| | | 液压缸有多种形式。按照结构特点,它可分为活塞式、柱塞式和摆动式三大类;按作用方式,它又可分为单作用式和双作用式两种。单作用式液压缸只能使活塞(或柱塞)做单方向运动,即液压油液只通向液压缸的一腔,而反方向运动则必须依靠外力(如弹簧力或自重等)来实现;双作用式液压缸,在两个方向上的运动都由液压油液的推动来实现。 |
| | | </p> |
| | | </span> |
| | | <p class="titleQuot-1">5.1.1 活塞式液压缸</p> |
| | | <p class="content"> |
| | | 活塞式液压缸可分为双杆式和单杆式两种结构形式。其固定方式有缸筒固定和活塞杆固定两种。 |
| | | </p> |
| | | |
| | | <p class="poemtitle-l">1.双杆活塞式液压缸</p> |
| | | <p class="content"> |
| | | 图5.1所示为双杆活塞式液压缸示意图,图5.1(a)所示为缸筒固定式结构,液压缸的左腔进油,推动活塞向右运动,右腔回油;反之,活塞反向运动。其运动范围约等于活塞有效行程l的3倍,一般用于中小型设备。图5.1(b)所示为活塞杆固定式结构,液压缸的左腔进油,推动缸体向左运动,右腔回油;反之,缸体反向移动。其运动范围约等于缸筒有效行程l的2倍,因此常用于大中型设备中。实际上液压缸的运动范围还要考虑活塞和缸盖等结构尺寸所占用的空间。其特点是在活塞两侧都有活塞杆伸出。 |
| | |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msub> |
| | | <mo data-mjx-texclass="CLOSE">]</mo> |
| | | <mo>]</mo> |
| | | <msub> |
| | | <mi>η</mi> |
| | | <mrow> |
| | |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msub> |
| | | <mo data-mjx-texclass="CLOSE">]</mo> |
| | | <mo>]</mo> |
| | | <msub> |
| | | <mi>η</mi> |
| | | <mi>m</mi> |
| | |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msub> |
| | | <mo data-mjx-texclass="CLOSE">]</mo> |
| | | <mo>]</mo> |
| | | <msub> |
| | | <mi>η</mi> |
| | | <mrow> |
| | |
| | | <mn>1</mn> |
| | | </mrow> |
| | | </msub> |
| | | <mo data-mjx-texclass="CLOSE">]</mo> |
| | | <mo>]</mo> |
| | | <msub> |
| | | <mi>η</mi> |
| | | <mi>m</mi> |
| | |
| | | </msub> |
| | | </math>——无杆腔的活塞有效作用面积(m<span class="super">2</span>); |
| | | </p> |
| | | <p class="content"><math display="0"> |
| | | <p class="content td-3"><math display="0"> |
| | | <msub> |
| | | <mi>D</mi> |
| | | </msub> |
| | | </math>——活塞直径(即缸筒直径)(m);</p> |
| | | <p class="content"> |
| | | <p class="content td-3"> |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>η</mi> |
| | |
| | | </msub> |
| | | </math>——液压缸的容积效率; |
| | | </p> |
| | | <p class="content"> <math display="0"> |
| | | <p class="content td-3"> <math display="0"> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | |
| | | </mrow> |
| | | </msub> |
| | | </math>——进油压力(Pa);</p> |
| | | <p class="content"> <math display="0"> |
| | | <p class="content td-3"> <math display="0"> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | |
| | | </mrow> |
| | | </msub> |
| | | </math>——回油压力(Pa);</p> |
| | | <p class="content"> |
| | | A<span class="sub">2</span>——有杆腔的活塞有效作用面积(m<span class="super">2</span>); |
| | | <p class="content td-3"> |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mi>2</mi> |
| | | </mrow> |
| | | </msub> |
| | | </math>——有杆腔的活塞有效作用面积(m<span class="super">2</span>); |
| | | </p> |
| | | <p class="content"> d——活塞杆直径(m);</p> |
| | | <p class="content"> |
| | | η<span class="sub">m</span>——液压缸的机械效率。 |
| | | <p class="content td-3"><math display="0"> |
| | | <msub> |
| | | <mi>d</mi> |
| | | </msub> |
| | | </math>——活塞杆直径(m);</p> |
| | | <p class="content td-3"> |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>η</mi> |
| | | <mrow> |
| | | <mi>m</mi> |
| | | </mrow> |
| | | </msub> |
| | | </math>——液压缸的机械效率。 |
| | | </p> |
| | | <div class="fl jc-sb al-fe openImgBox"> |
| | | <div> |
| | |
| | | <p class="content"> |
| | | 由式(5.3)和式(5.5)得液压缸往复运动时的速度比为 |
| | | </p> |
| | | <div class="img-rights w200"> |
| | | |
| | | <div class="img-rights openImgBox w200"> |
| | | <img src="../../assets/images/Figure-0003-03.jpg" alt="" /> |
| | | <p class="img">图5.3 差动连接液压缸连接方式</p> |
| | | </div> |
| | | <span> |
| | | <p class="center mb-10 mt-10"> |
| | | <math display="0"> |
| | | <mi>φ</mi> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <msub> |
| | | <mi>v</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msub> |
| | | <mrow> |
| | | <msub> |
| | | <mi>v</mi> |
| | | <mrow> |
| | | <mn>1</mn> |
| | | </mrow> |
| | | </msub> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>=</mn> |
| | | </math><math display="0"> |
| | | <mfrac> |
| | | <msup> |
| | | <mi>D</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mrow> |
| | | <msup> |
| | | <mi>D</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msup> |
| | | <mn>-</mn> |
| | | <msup> |
| | | <mi>d</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msup> |
| | | </mrow> |
| | | </mfrac> |
| | | </math> |
| | | </p> |
| | | <p class="right-info">(5.7)</p> |
| | | <p class="content"> |
| | | 式(5.7)表明,当活塞杆直径愈小时,两腔分别进液压油,活塞的运动速度比愈接近于1,在两个方向上的速度差值就愈小。 |
| | | </p> |
| | |
| | | </p> |
| | | </span> |
| | | <p class="content"> |
| | | 当单杆活塞式液压缸差动连接时,有杆腔排出流量q′=v<span class="sub">3</span>A<span |
| | | class="sub">2</span>进入无杆腔,根据流量连接性方程,则有 |
| | | </p> |
| | | <p class="center"> |
| | | v<span class="sub">3</span>A<span class="sub">1</span>=q+v<span class="sub">3</span>A<span |
| | | class="sub">2</span> |
| | | </p> |
| | | <p class="content"> |
| | | 在考虑了液压缸的容积效率η<span class="sub">V</span>(注意:这里仅有外泄漏)后,活塞杆的伸出速度v<span class="sub">3</span>为 |
| | | </p> |
| | | |
| | | <p class="center"> |
| | | v<span class="sub">3</span>=<math display="0"> |
| | | <mfrac> |
| | | <mn>q</mn> |
| | | <mn> |
| | | <msub> |
| | | <mn>A</mn> |
| | | 当单杆活塞式液压缸差动连接时,有杆腔排出流量 |
| | | <math display="0"> |
| | | <msup> |
| | | <mi>q</mi> |
| | | <mrow> |
| | | <mn>1</mn> |
| | | <mn>′</mn> |
| | | </mrow> |
| | | </msub>-<msub> |
| | | <mn>A</mn> |
| | | </msup> |
| | | <mn>=</mn> |
| | | <msub> |
| | | <mi>v</mi> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msub> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msub> |
| | | </mn> |
| | | </mfrac> |
| | | </math>η<span class="sub">v</span>=<math display="0"> |
| | | </math> |
| | | 进入无杆腔,根据流量连接性方程,则有 |
| | | </p> |
| | | <p class="center mt-10 mb-10"> |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>v</mi> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msub> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mn>1</mn> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mi>q</mi> |
| | | <mn>+</mn> |
| | | <msub> |
| | | <mi>v</mi> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msub> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msub> |
| | | </math> |
| | | </p> |
| | | <p class="content"> |
| | | 在考虑了液压缸的容积效率η<span class="sub">V</span>(注意:这里仅有外泄漏)后,活塞杆的伸出速度v<span class="sub">3</span>为 |
| | | </p> |
| | | <p class="center"> |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>v</mi> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mi>4q</mi> |
| | | <mn> |
| | | <mi>q</mi> |
| | | <mrow> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mn>1</mn> |
| | | </mrow> |
| | | </msub> |
| | | <mn>-</mn> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msub> |
| | | </mrow> |
| | | </mfrac> |
| | | <msub> |
| | | <mi>η</mi> |
| | | <mrow> |
| | | <mn>v</mn> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mrow> |
| | | <mn>4</mn> |
| | | <mi>q</mi> |
| | | </mrow> |
| | | <mrow> |
| | | <mn>π</mn> |
| | | <msup> |
| | | <mi>πd</mi> |
| | | <mi>d</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msup> |
| | | </mn> |
| | | </mrow> |
| | | </mfrac> |
| | | </math>η<span class="sub">v</span> |
| | | <msub> |
| | | <mi>η</mi> |
| | | <mrow> |
| | | <mn>v</mn> |
| | | </mrow> |
| | | </msub> |
| | | </math> |
| | | </p> |
| | | <p class="right-info">(5.8)</p> |
| | | <p class="content"> |
| | | 欲使差动连接液压缸的往复运动速度相等,即v<span class="sub">3</span>=v<span |
| | | class="sub">2</span>,则由式(5.5)和式(5.8)可得D=d<math display="0"> |
| | | 欲使差动连接液压缸的往复运动速度相等,即 |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>v</mi> |
| | | <mrow> |
| | | <mn>3</mn> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <msub> |
| | | <mi>v</mi> |
| | | <mrow> |
| | | <mn>1</mn> |
| | | </mrow> |
| | | </msub> |
| | | </math> |
| | | ,则由式(5.5)和式(5.8)可得<math display="0"> |
| | | <mi>D</mi> |
| | | <mn>=</mn> |
| | | <mi>d</mi> |
| | | <msqrt> |
| | | <mn>2</mn> |
| | | </msqrt> |
| | | </math>(d=0.707 D)。 |
| | | <mi>d</mi> |
| | | </math> |
| | | (<math display="0"> |
| | | <mi>d</mi> |
| | | <mn>=</mn> |
| | | <mi>0.707</mi> |
| | | <mi>D</mi> |
| | | </math>)。 |
| | | </p> |
| | | </div> |
| | | </div> |
| | |
| | | </ul> |
| | | <div class="bodystyle"> |
| | | <p class="content"> |
| | | 单杆活塞式液压缸差动连接在忽略两腔液压油流动和其他压力损失的情况下,压力p<span class="sub">2</span>≈p<span |
| | | class="sub">1</span>,同时考虑到机械效率η<span class="sub">m</span>,这时活塞的推力F<span |
| | | class="sub">3</span>为 |
| | | 单杆活塞式液压缸差动连接在忽略两腔液压油流动和其他压力损失的情况下,压力 |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msub> |
| | | <mn>≈</mn> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mn>1</mn> |
| | | </mrow> |
| | | </msub> |
| | | </math> |
| | | ,这时活塞的推力F<span class="sub">3</span>为 |
| | | </p> |
| | | |
| | | <p class="center"> |
| | | F<span class="sub">3</span>=[p<span class="sub">1</span>A<span class="sub">1</span>-p<span |
| | | class="sub">2</span>A<span class="sub">2</span>]η<span class="sub">m</span>=[<math |
| | | display="0"> |
| | | <p class="center"><math display="0"> |
| | | <msub> |
| | | <mi>F</mi> |
| | | <mrow> |
| | | <mo>3</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mn>[</mn> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>-</mn> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>]</mn> |
| | | <msub> |
| | | <mi>η</mi> |
| | | <mrow> |
| | | <mo>m</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mn>[</mn> |
| | | <mfrac> |
| | | <mn>π</mn> |
| | | <mn>4</mn> |
| | | <mi>π</mi> |
| | | <mrow> |
| | | <mo>4</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | </math>D<span class="super">2</span>p<span class="sub">1</span>-<math display="0"> |
| | | <msup> |
| | | <mi>D</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>-</mn> |
| | | <mfrac> |
| | | <mn>π</mn> |
| | | <mn>4</mn> |
| | | <mi>π</mi> |
| | | <mrow> |
| | | <mo>4</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | </math>(D<span class="super">2</span>-d<span class="super">2</span>)p<span |
| | | class="sub">1</span>]η<span class="sub">m</span>=<math display="0"> |
| | | <mn>(</mn> |
| | | <msup> |
| | | <mi>D</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>-</mn> |
| | | <msup> |
| | | <mi>d</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>) |
| | | </mn> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>]</mn> |
| | | <msub> |
| | | <mi>η</mi> |
| | | <mrow> |
| | | <mo>m</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mn>π</mn> |
| | | <mn>4</mn> |
| | | <mi>π</mi> |
| | | <mrow> |
| | | <mo>4</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | </math>d<span class="super">2</span>p<span class="sub">1</span>η<span class="sub">m</span> |
| | | </p> |
| | | <msup> |
| | | <mi>d</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | <msub> |
| | | <mi>η</mi> |
| | | <mrow> |
| | | <mo>m</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math></p> |
| | | <p class="right-info">(5.9)</p> |
| | | |
| | | <p class="content"> |
| | |
| | | 单杆活塞式液压缸往复运动范围是有效行程l的2倍,其结构紧凑,应用广泛。 |
| | | </p> |
| | | <p class="content"> |
| | | <span class="bold">【例5.2】</span> 已知单杆活塞式液压缸的缸筒内径D=100 mm,活塞杆直径d=70 |
| | | mm,进入液压缸的流量q=25 L/min,压力p<span class="sub">1</span>=2 |
| | | MPa,非差动连接时,p<span |
| | | class="sub">2</span>=0。如果不考虑损失(容积效率和机械效率为1),求如图5.2(a)、(b)和图5.3所示的活塞杆固定的三种情况下,液压缸可推动的负载和运动速度各是多少?并给出运动方向。 |
| | | <span class="bold">【例5.2】</span> 已知单杆活塞式液压缸的缸筒内径<math display="0"> |
| | | <mi>D</mi> |
| | | </math>=100 mm,活塞杆直径d=70 |
| | | mm,进入液压缸的流量<math display="0"> |
| | | <mi>q</mi> |
| | | </math>=25 L/min,压力 |
| | | |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mn>1</mn> |
| | | </mrow> |
| | | </msub> |
| | | </math>=2MPa,非差动连接时, |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msub> |
| | | </math> |
| | | =0。如果不考虑损失(容积效率和机械效率为1),求如图5.2(a)、(b)和图5.3所示的活塞杆固定的三种情况下,液压缸可推动的负载和运动速度各是多少?并给出运动方向。 |
| | | <span class="btn-box" @click="showAnswerTwo = !showAnswerTwo" title="查看答案"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="20.501" height="20.501" |
| | | viewBox="0 0 20.501 20.501"> |
| | |
| | | </p> |
| | | <div v-if="showAnswerTwo"> |
| | | <p class="content"> |
| | | <span class="bold">解</span> (1)在图5.2(a)中的液压缸无杆腔进压力油,回油腔压力p<span class="sub">2</span>为0。 |
| | | <span class="bold">解</span> (1)在图5.2(a)中的液压缸无杆腔进压力油,回油腔压力 <math display="0"> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msub> |
| | | </math>为0。 |
| | | </p> |
| | | <p class="content">根据公式(5.4),可得推动的负载为</p> |
| | | |
| | | <p class="center mt-10 mb-10"> |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>F</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mi>π</mi> |
| | | <mrow> |
| | | <mo>4</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <msup> |
| | | <mi>d</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mi>π</mi> |
| | | <mrow> |
| | | <mo>4</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>×</mn> |
| | | <msup> |
| | | <mo>0.1</mo> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>×</mn> |
| | | <mo>2</mo> |
| | | <mn>×</mn> |
| | | <msup> |
| | | <mo>10</mo> |
| | | <mrow> |
| | | <mo>6</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>=</mn> |
| | | <mo>15700(N)</mo> |
| | | </math> |
| | | </p> |
| | | <p class="content">根据公式(5.3),可得缸筒的运动速度为</p> |
| | | <p class="center"> |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>v</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mi>q</mi> |
| | | <mrow> |
| | | <mfrac> |
| | | <mn>π</mn> |
| | | <mrow> |
| | | <mo>4</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <msup> |
| | | <mi>D</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mrow> |
| | | <mn>4</mn> |
| | | <mo>×</mo> |
| | | <mn>25</mn> |
| | | <mo>×</mo> |
| | | <msup> |
| | | <mn>10</mn> |
| | | <mn>-3</mn> |
| | | </msup> |
| | | </mrow> |
| | | <mrow> |
| | | <mo>π</mo> |
| | | <mn>×</mn> |
| | | <msup> |
| | | <mo>0.1</mo> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>×</mn> |
| | | <mo>60</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>=</mn> |
| | | <mo>0.053</mo> |
| | | <mn>(</mn> |
| | | <mo>m/s</mo> |
| | | <mn>)</mn> |
| | | </math> |
| | | </p> |
| | | <p class="content"> |
| | | 答:液压缸可推动的负载是15 700 N,运动速度是0.053 |
| | | m/s,这时缸筒运动方向向左。 |
| | |
| | | <p class="content"> |
| | | (2)图5.2(b)中的液压缸为有杆腔进压力油,回油腔压力p<span class="sub">2</span>为0。根据公式(5.6),可得推动的负载为 |
| | | </p> |
| | | <p class="center mb-10 mt-10"> |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>F</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mn>π</mn> |
| | | <mrow> |
| | | <mo>4</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>(</mn> |
| | | <msup> |
| | | <mi>D</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>-</mn> |
| | | <msup> |
| | | <mi>d</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>)</mn> |
| | | <mi>p</mi> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mo>π</mo> |
| | | <mrow> |
| | | <mo>4</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>×</mn> |
| | | <mn>(</mn> |
| | | <msup> |
| | | <mi>0.1</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>-</mn> |
| | | <msup> |
| | | <mi>0.07</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>)</mn> |
| | | <mn>×</mn> |
| | | <mo>2</mo> |
| | | <mn>×</mn> |
| | | <msup> |
| | | <mi>10</mi> |
| | | <mrow> |
| | | <mo>6</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>=</mn> |
| | | <mo>8007</mo> |
| | | <mn>(</mn> |
| | | <mo>N</mo> |
| | | <mn>)</mn> |
| | | </math> |
| | | </p> |
| | | <p class="content">根据公式(5.5),可得缸筒的运动速度为</p> |
| | | <p class="center mb-10 mt-10"> |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>v</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mi>q</mi> |
| | | <mrow> |
| | | <mfrac> |
| | | <mn>π</mn> |
| | | <mrow> |
| | | <mo>4</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>(</mn> |
| | | <msup> |
| | | <mi>D</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>-</mn> |
| | | <msup> |
| | | <mi>d</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>)</mn> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mrow> |
| | | <mn>4</mn> |
| | | <mo>×</mo> |
| | | <mn>25</mn> |
| | | <mo>×</mo> |
| | | <msup> |
| | | <mn>10</mn> |
| | | <mn>-3</mn> |
| | | </msup> |
| | | </mrow> |
| | | <mrow> |
| | | <mo>π</mo> |
| | | <mn>×</mn> |
| | | <mn>(</mn> |
| | | <msup> |
| | | <mi>0.1</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>-</mn> |
| | | <msup> |
| | | <mi>0.07</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>)</mn> |
| | | <mn>×</mn> |
| | | <mo>60</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>=</mn> |
| | | <mo>0.104</mo> |
| | | <mn>(</mn> |
| | | <mo>m/s</mo> |
| | | <mn>)</mn> |
| | | </math> |
| | | </p> |
| | | <p class="content"> |
| | | 答:液压缸可推动的负载是8 007 N,运动速度是0.104 |
| | | m/s,这时缸筒运动方向向右。 |
| | | </p> |
| | | <p class="content"> |
| | | (3)图5.3中的液压缸为差动连接,根据公式(5.9),可得推动的负载为 |
| | | </p> |
| | | <p class="center mb-10 mt-10"> |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>F</mi> |
| | | <mrow> |
| | | <mo>3</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mn>π</mn> |
| | | <mrow> |
| | | <mo>4</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <msup> |
| | | <mi>d</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mi>p</mi> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mn>π</mn> |
| | | <mrow> |
| | | <mo>4</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>×</mn> |
| | | <msup> |
| | | <mi>0.07</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>×</mn> |
| | | <mo>2</mo> |
| | | <mn>×</mn> |
| | | <msup> |
| | | <mi>10</mi> |
| | | <mrow> |
| | | <mo>6</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>=</mn> |
| | | <mo>7 693</mo> |
| | | <mn>(</mn> |
| | | <mo>N</mo> |
| | | <mn>)</mn> |
| | | </math> |
| | | </p> |
| | | </div> |
| | | </div> |
| | |
| | | <div class="bodystyle"> |
| | | <div v-if="showAnswerTwo"> |
| | | <p class="content">根据公式(5.8),可得缸筒的运动速度为</p> |
| | | <p class="center mb-10 mt-10"> |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>v</mi> |
| | | <mrow> |
| | | <mo>3</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mi>q</mi> |
| | | <mrow> |
| | | <mfrac> |
| | | <mn>π</mn> |
| | | <mrow> |
| | | <mo>4</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <msup> |
| | | <mi>d</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mrow> |
| | | <mn>4</mn> |
| | | <mo>×</mo> |
| | | <mn>25</mn> |
| | | <mo>×</mo> |
| | | <msup> |
| | | <mn>10</mn> |
| | | <mn>-3</mn> |
| | | </msup> |
| | | </mrow> |
| | | <mrow> |
| | | <mo>π</mo> |
| | | <mn>×</mn> |
| | | <msup> |
| | | <mn>0.07</mn> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>×</mn> |
| | | <mn>60</mn> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>=</mn> |
| | | <mn>0.108</mn> |
| | | <mn>(</mn> |
| | | <mn>m</mn> |
| | | <mn>/</mn> |
| | | <mn>s</mn> |
| | | <mn>)</mn> |
| | | </math> |
| | | </p> |
| | | <p class="content"> |
| | | 答:液压缸可推动的负载是7 693 N,运动速度是0.108 |
| | | m/s,这时缸筒运动方向向左。 |
| | | 答:液压缸可推动的负载是7 693 N,运动速度是0.108m/s,这时缸筒运动方向向左。 |
| | | </p> |
| | | </div> |
| | | <p class="content"> |
| | | <span class="bold">【例5.3】</span> 在单出杆活塞式液压缸中,已知缸筒内径D=125 mm,活塞杆直径 d=70 |
| | | mm,液压缸大腔进油,活塞运动的速度为v=0.1 |
| | | m/s,求进入液压缸的流量q<span class="sub">1</span>和排出液压缸的流量q<span class="sub">2</span>各有多少? |
| | | <span class="btn-box" @click="showAnswerThree = !showAnswerThree" title="查看答案"> |
| | | <svg xmlns="http://www.w3.org/2000/svg" width="20.501" height="20.501" |
| | | viewBox="0 0 20.501 20.501"> |
| | | <path class="a" |
| | | d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z" |
| | | transform="translate(-3327.144 15329)" /> |
| | | </svg> |
| | | </span> |
| | | </p> |
| | | <div v-if="showAnswerThree"> |
| | | <p class="content"><span class="bold">解</span>(1)进入液压缸的流量</p> |
| | | <p class="center mb-10 mt-10"> |
| | | <math display="block"> |
| | | <mtable columnalign="left"> |
| | | <mtr> |
| | | <mtd> |
| | | <msub> |
| | | <mi>q</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mi>v</mi> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mi>v</mi> |
| | | <mfrac> |
| | | <mn>π</mn> |
| | | <mrow> |
| | | <mo>4</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <msup> |
| | | <mi>D</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>=</mn> |
| | | <mo>0.1</mo> |
| | | <mn>×</mn> |
| | | <msup> |
| | | <mo>10</mo> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>×</mn> |
| | | <mo>60</mo> |
| | | <mn>×</mn> |
| | | <mfrac> |
| | | <mn>π</mn> |
| | | <mrow> |
| | | <mo>4</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>×</mn> |
| | | <msup> |
| | | <mo>12.5</mo> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>=</mn> |
| | | </mtd> |
| | | </mtr> |
| | | <mtr> |
| | | <mtd> |
| | | <mo>73 593.75</mo> |
| | | <mn>(</mn> |
| | | <msup> |
| | | <mo>cm</mo> |
| | | <mrow> |
| | | <mo>3</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>/</mn> |
| | | <mo>min</mo> |
| | | <mn>)</mn> |
| | | <mn>=</mn> |
| | | <mo>73.59</mo> |
| | | <mn>(</mn> |
| | | <mo>L</mo> |
| | | <mn>/</mn> |
| | | <mo>min</mo> |
| | | <mn>)</mn> |
| | | </mtd> |
| | | </mtr> |
| | | </mtable> |
| | | </math> |
| | | </p> |
| | | <p class="content">(2)排出液压缸的流量</p> |
| | | <p class="center mb-10 mt-10"> |
| | | <math display="block"> |
| | | <mtable columnalign="left"> |
| | | <mtr> |
| | | <mtd> |
| | | <msub> |
| | | <mi>q</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mi>v</mi> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mi>v</mi> |
| | | <mfrac> |
| | | <mn>π</mn> |
| | | <mrow> |
| | | <mo>4</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>(</mn> |
| | | <msup> |
| | | <mi>D</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>-</mn> |
| | | <msup> |
| | | <mi>d</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>)</mn> |
| | | <mn>=</mn> |
| | | <mo>0.1</mo> |
| | | <mn>×</mn> |
| | | <msup> |
| | | <mo>10</mo> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>×</mn> |
| | | <mo>60</mo> |
| | | <mn>×</mn> |
| | | <mfrac> |
| | | <mn>π</mn> |
| | | <mrow> |
| | | <mo>4</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>×</mn> |
| | | <mn>(</mn> |
| | | <msup> |
| | | <mo>12.5</mo> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>-</mn> |
| | | <msup> |
| | | <mo>7</mo> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>)</mn> |
| | | <mn>=</mn> |
| | | </mtd> |
| | | </mtr> |
| | | <mtr> |
| | | <mtd> |
| | | <mo>50 514.75</mo> |
| | | <mn>(</mn> |
| | | <msup> |
| | | <mo>cm</mo> |
| | | <mrow> |
| | | <mo>3</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>/</mn> |
| | | <mo>min</mo> |
| | | <mn>)</mn> |
| | | <mn>=</mn> |
| | | <mo>50.51</mo> |
| | | <mn>(</mn> |
| | | <mo>L</mo> |
| | | <mn>/</mn> |
| | | <mo>min</mo> |
| | | <mn>)</mn> |
| | | </mtd> |
| | | </mtr> |
| | | </mtable> |
| | | </math> |
| | | </p> |
| | | <p class="content">答:进入液压缸的流量是73 593.75 cm<span class="super">3</span>/min,排出液压缸的流量是50 514.75 |
| | | cm<span class="super">3</span>/min。 |
| | | </p> |
| | | </div> |
| | | <p class="titleQuot-1">5.1.2 柱塞式液压缸</p> |
| | | <p class="content"> |
| | | 活塞缸的内孔精度要求很高,当行程较长时加工困难,这时应采用柱塞缸。图5.4所示为柱塞式液压缸的使用和实物图,柱塞缸由缸筒、柱塞、导套、密封圈和压盖等零件组成,柱塞和缸筒内壁不接触,因此缸筒内孔不需精加工,工艺性好,成本低。 |
| | | </p> |
| | | <p class="content"> |
| | | 柱塞缸只能制成单作用缸,回程可以由外力或自重实现。在大行程设备中,为了得到双向运动,柱塞缸常如图5.4(b)所示成对使用。图5.4(c)为图形符号,图5.4(d)为柱塞缸的典型应用实物图(如船舶舵机的驱动)。柱塞端面是受压面,其面积大小决定了柱塞缸的运动速度和推力的大小。为保证柱塞缸有足够的推力和柱塞受压稳定性,一般柱塞较粗,质量较大,水平安装时,由于自重变形,易产生单边磨损,故柱塞缸适宜于垂直安装使用。为减轻质量,有时制成空心柱塞。水平安装使用时,为防止柱塞自重下垂,通常要设置柱塞支承套和托架。 |
| | | </p> |
| | | <p class="content">柱塞缸结构简单,制造方便,常用于长行程机床,如龙门刨、导轨磨、大型拉床等。</p> |
| | | <p class="titleQuot-1">5.1.3 摆动式液压缸</p> |
| | | <p class="content"> |
| | | 摆动式液压缸输出转矩并通过控制可以实现往复摆动,通常有单叶片和双叶片两种形式,当然也可以设计成多叶片结构。如图5.5(a)所示,单叶片摆动式液压缸由定子块1、缸体2、摆动轴3、叶片4、左右支承盘和左右盖板等主要零件组成,定子块固定在缸体上,叶片和摆动轴连接在一起。当两油口相继通入液压油时,叶片带动摆动轴做往复摆动。 |
| | | </p> |
| | | <p class="content">当考虑到容积效率<span class="italic">η</span><span class="sub">V</span>和机械效率<span |
| | | class="italic">η</span><span class="sub">m</span>时,叶片摆动式液压缸的摆动轴输出角速度<span |
| | | class="italic">ω</span>(rad/s)和转矩<span class="italic">T</span>(N · m)分别为 |
| | | </p> |
| | | </div> |
| | | </div> |
| | |
| | | <li class="headerText">第 5 章 液  压  缸</li> |
| | | <li>·85·</li> |
| | | </ul> |
| | | <div class="bodystyle"></div> |
| | | <div class="bodystyle"> |
| | | <div class="fl jc-sb al-fe openImgBox mt-20"> |
| | | <div> |
| | | <img class="img-a" src="../../assets//images/Figure-0006-01-01.png" alt="" /> |
| | | </div> |
| | | <div> |
| | | <img class="img-0" src="../../assets//images/Figure-0006-01-02.png" alt="" /> |
| | | </div> |
| | | </div> |
| | | <div class="fl jc-c al-fe openImgBox center "> |
| | | <div class="w12"> |
| | | <img class="img-0" src="../../assets//images/Figure-0006-01-03.png" alt="" /> |
| | | </div> |
| | | <div class="img-c ml-40"> |
| | | <img class="w80" src="../../assets//images/Figure-0006-01-04.png" alt="" /> |
| | | </div> |
| | | </div> |
| | | <p class="img mt-10 mb-10">图5.4 柱塞式液压缸的使用、图形符号和实物图</p> |
| | | <div class="fl jc-sb al-fe openImgBox center "> |
| | | <div> |
| | | <img class="w80" src="../../assets//images/Figure-0006-02-01.png" alt="" /> |
| | | </div> |
| | | <div> |
| | | <img class="w80" src="../../assets//images/Figure-0006-02-02.png" alt="" /> |
| | | </div> |
| | | <div> |
| | | <div> |
| | | <img class="img-f" src="../../assets//images/Figure-0006-02-03.png" alt="" /> |
| | | </div> |
| | | <div> |
| | | <img class="w80" src="../../assets//images/Figure-0006-02-04.png" alt="" /> |
| | | </div> |
| | | </div> |
| | | </div> |
| | | <p class="img mt-10">图5.5 摆动式液压缸结构简图、图形符号和实物图</p> |
| | | <p class="img mb-10">1—定子块;2—缸体;3—摆动轴;4—叶片</p> |
| | | <p class="center"> |
| | | <math display="0"> |
| | | <mi>ω</mi> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <msub> |
| | | <mrow> |
| | | <mn>8</mn> |
| | | <mi>q</mi> |
| | | <mi>η</mi> |
| | | </mrow> |
| | | <mrow> |
| | | <mn>v</mn> |
| | | </mrow> |
| | | </msub> |
| | | <mrow> |
| | | <mi>z</mi> |
| | | <mi>b</mi> |
| | | <mn>(</mn> |
| | | <msup> |
| | | <mi>D</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>-</mn> |
| | | <msup> |
| | | <mi>d</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>)</mn> |
| | | </mrow> |
| | | </mfrac> |
| | | </math> |
| | | </p> |
| | | <p class="right-info">(5.10)</p> |
| | | <p class="center"> |
| | | <math display="0"> |
| | | <mi>T</mi> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mrow> |
| | | <mi>z</mi> |
| | | <mi>b</mi> |
| | | </mrow> |
| | | <mrow> |
| | | <mo>8</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>(</mn> |
| | | <msup> |
| | | <mi>D</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>-</mn> |
| | | <msup> |
| | | <mi>d</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>)</mn> |
| | | <mn>(</mn> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mn>1</mn> |
| | | </mrow> |
| | | </msub> |
| | | <mn>-</mn> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msub> |
| | | <mn>)</mn> |
| | | <msub> |
| | | <mi>η</mi> |
| | | <mrow> |
| | | <mn>m</mn> |
| | | </mrow> |
| | | </msub> |
| | | </math> |
| | | </p> |
| | | <p class="right-info">(5.11)</p> |
| | | <p class="left">式中 <span class="italic">q</span>——进入摆动缸流量(m<span class="super">3</span>/s);</p> |
| | | <p class="content td-3"> <span class="italic">η</span><span class="sub">V</span>——摆动缸容积效率;</p> |
| | | <p class="content td-3"> <span class="italic">b</span>——叶片宽度(m);</p> |
| | | <p class="content td-3"> <span class="italic">z</span>——叶片数;</p> |
| | | <p class="content td-3"> <span class="italic">D</span>——缸筒直径(m);</p> |
| | | <p class="content td-3"> <span class="italic">d</span>——摆动轴直径(m);</p> |
| | | <p class="content td-3"> <span class="italic">p</span><span class="sub">1</span>——进油压力(Pa);</p> |
| | | <p class="content td-3"> <span class="italic">p</span><span class="sub">2</span>——回油压力(Pa);</p> |
| | | <p class="content td-3"> <span class="italic">η</span><span class="sub">m</span>——摆动缸机械效率。</p> |
| | | </div> |
| | | </div> |
| | | </div> |
| | | <!-- 86页 --> |
| | |
| | | <li>·86·</li> |
| | | <li class="headerText">液 压 传 动</li> |
| | | </ul> |
| | | <div class="bodystyle"></div> |
| | | <div class="bodystyle"> |
| | | <div class="img-rights w200 openImgBox"> |
| | | <img src="../../assets/images/Figure-0007-01.jpg" alt="" /> |
| | | <p class="img">图5.6 例题5.4附图</p> |
| | | </div> |
| | | <span> |
| | | <p class="content"> |
| | | 考虑叶片和定子块所占用的角度,单叶片摆动式液压缸的摆动角一般不超过280°。双叶片摆动式液压缸的摆动角一般不超过150°。当输入压力和流量不变时,双叶片摆动式液压缸输出转矩是单叶片摆动式液压缸的2倍,而摆动角速度则是单叶片摆动缸的1/2。 |
| | | </p> |
| | | <p class="content"> |
| | | 摆动式液压缸结构紧凑,输出转矩大,但密封困难,一般只用于低中压系统中做往复摆动、转位或间歇运动的工作场合。 |
| | | </p> |
| | | <p class="content"><span class="bold">【例5.4】</span> 如图5.6所示单叶片摆动式液压缸,供油压力<span |
| | | class="italic">p</span><span class="sub">1</span> =10 MPa,流量<span |
| | | class="italic">q</span> =25 L/min,回油压力<span class="italic">p</span><span |
| | | class="sub">2</span> =0.5 MPa,缸体内孔半径<span class="italic">R</span> =100 mm,摆动轴半径<span |
| | | class="italic">r</span> =40 mm,若输出轴的角速度<span class="italic">ω</span> =0.7 |
| | | rad/s。在不考虑摆动式液压缸的容积效率和机械效率时,求摆动式液压缸的叶片宽度和输出扭矩各是多少?</p> |
| | | <p class="content"><span class="bold">解</span> (1)求摆动式液压缸叶片宽度<span |
| | | class="italic">b</span>。根据叶片摆动式液压缸角速度公式(5.10)(这里叶片数<span class="italic">z</span> |
| | | =1),经变化后可得</p> |
| | | </span> |
| | | <p class="center mt-10 mb-10"> |
| | | <math display="0"> |
| | | <mi>b</mi> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mrow> |
| | | <mn>8</mn> |
| | | <mi>q</mi> |
| | | </mrow> |
| | | <mrow> |
| | | <mi>ω</mi> |
| | | <mn>(</mn> |
| | | <msup> |
| | | <mi>D</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>-</mn> |
| | | <msup> |
| | | <mi>d</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>)</mn> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mrow> |
| | | <mn>8</mn> |
| | | <mo>×</mo> |
| | | <mn>25</mn> |
| | | <mo>×</mo> |
| | | <msup> |
| | | <mn>10</mn> |
| | | <mn>-3</mn> |
| | | </msup> |
| | | </mrow> |
| | | <mrow> |
| | | <mn>0.7</mn> |
| | | <mn>×</mn> |
| | | <mn>[</mn> |
| | | <mn>(</mn> |
| | | <mn>2</mn> |
| | | <mn>×</mn> |
| | | <mn>0.1</mn> |
| | | <msup> |
| | | <mn>)</mn> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>-</mn> |
| | | <mn>(</mn> |
| | | <mn>2</mn> |
| | | <mn>×</mn> |
| | | <mn>0.04</mn> |
| | | <msup> |
| | | <mn>)</mn> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>]</mn> |
| | | <mn>×</mn> |
| | | <mn>60</mn> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>=</mn> |
| | | <mo>0.142</mo> |
| | | <mn>(</mn> |
| | | <mo>m</mo> |
| | | <mn>)</mn> |
| | | </math> |
| | | </p> |
| | | <p class="content">(2)求摆动式液压缸输出扭矩。根据公式(5.11),可得</p> |
| | | <p class="center mt-10 mb-10"> |
| | | <math display="0"> |
| | | <mi>T</mi> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mi>b</mi> |
| | | <mrow> |
| | | <mo>8</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>(</mn> |
| | | <msup> |
| | | <mi>D</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>-</mn> |
| | | <msup> |
| | | <mi>d</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>)</mn> |
| | | <mn>(</mn> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mn>1</mn> |
| | | </mrow> |
| | | </msub> |
| | | <mn>-</mn> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mn>2</mn> |
| | | </mrow> |
| | | </msub> |
| | | <mn>)</mn> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <mo>0.142</mo> |
| | | <mrow> |
| | | <mo>8</mo> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>(</mn> |
| | | <msup> |
| | | <mi>0.2</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>-</mn> |
| | | <msup> |
| | | <mi>0.08</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>)</mn> |
| | | <mn>(</mn> |
| | | <mn>10</mn> |
| | | <mn>-</mn> |
| | | <mn>0.5</mn> |
| | | <mn>)</mn> |
| | | <mn>×</mn> |
| | | <msup> |
| | | <mi>10</mi> |
| | | <mrow> |
| | | <mo>6</mo> |
| | | </mrow> |
| | | </msup> |
| | | <mn>=</mn> |
| | | <mo>5665.8</mo> |
| | | <mn>(</mn> |
| | | <mo>N</mo> |
| | | <mn>·</mn> |
| | | <mo>m</mo> |
| | | <mn>)</mn> |
| | | </math> |
| | | </p> |
| | | <p class="content">答:摆动式液压缸的叶片宽度<span class="italic">b</span> =0.142 m,输出扭矩<span |
| | | class="italic">T</span> =5 665.8 N·m。</p> |
| | | <p class="titleQuot-1">5.1.4 组合式液压缸</p> |
| | | <p class="content">上述为液压缸的三种基本形式。为了满足特定的需要,这三种液压缸和机械传动机构还可以分别组合成特种液压缸。</p> |
| | | <p class="poemtitle-l">1.增压液压缸</p> |
| | | <p class="content">增压液压缸又称增压器。它能将输入的低压油转变为高压油供液压系统中的高压支路使用。增压液压缸结构简图和实物图如图5.7所示。它由面积不同(分别为<span |
| | | class="italic">A</span><span class="sub">1</span>和<span class="italic">A</span><span |
| | | class="sub">2</span>)的两个液压缸串联而成,大液压缸为原动液压缸,小液压缸为输出液压缸。设输入原动液压缸的输入压力为<span |
| | | class="italic">p</span><span class="sub">1</span>,输出液压缸的出油压力为<span |
| | | class="italic">p</span><span class="sub">2</span>,若不计摩擦力,根据力平衡关系,可有如下等式</p> |
| | | <p class="center"> |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math> |
| | | </p> |
| | | <p class="left">整理得</p> |
| | | <p class="center"> |
| | | <math display="0"> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mrow> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | </mrow> |
| | | </mfrac> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math> |
| | | </p> |
| | | <p class="right-info">(5.12)</p> |
| | | <p class="left">式中,比值<span class="italic">A</span><span class="sub">1</span>/<span |
| | | class="italic">A</span><span class="sub">2</span>(或<span class="italic">D</span><span |
| | | class="super">2</span><span class="sub">1</span>/<span class="italic">D</span><span |
| | | class="super">2</span><span class="sub">2</span>)称为增压比。由式(5.12)可知,当<span |
| | | class="italic">D</span><span class="sub">1</span> =2<span class="italic">D</span><span |
| | | class="sub">2</span>时,<span class="italic">p</span><span class="sub">2</span> =4<span |
| | | class="italic">p</span><span class="sub">1</span>,即增压4倍。</p> |
| | | <p class="content">另外,增压液压缸也可称为定变压比的液压缸式液压变压器,其变压比<span class="italic">λ</span>为</p> |
| | | <p class="center"><math display="0"> |
| | | <mi>λ</mi> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mrow> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | </mrow> |
| | | </mfrac> |
| | | <mn>=</mn> |
| | | <mfrac> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | <mrow> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | </mrow> |
| | | </mfrac> |
| | | </math></p> |
| | | <p class="right-info">(5.13)</p> |
| | | </div> |
| | | </div> |
| | | </div> |
| | | <!-- 87页 --> |
| | |
| | | <li class="headerText">第 5 章 液  压  缸</li> |
| | | <li>·87·</li> |
| | | </ul> |
| | | <div class="bodystyle"></div> |
| | | <div class="bodystyle"> |
| | | <div class="fl jc-sb al-fe openImgBox center mt-10"> |
| | | <div> |
| | | <img class="w80" src="../../assets//images/Figure-0008-01-01.png" alt="" /> |
| | | </div> |
| | | <div> |
| | | <img class="w80" src="../../assets//images/Figure-0008-01-02.png" alt="" /> |
| | | </div> |
| | | <div> |
| | | <img class="w80" src="../../assets//images/Figure-0008-01-03.png" alt="" /> |
| | | </div> |
| | | </div> |
| | | <p class="img">图5.7 增压液压缸结构简图和实物图</p> |
| | | <p class="poemtitle-l">2.多级液压缸</p> |
| | | <p class="content"> |
| | | 多级液压缸又称伸缩液压缸,它由两级或多级活塞式液压缸套装而成,其结构简图和实物图如图5.8所示。前一级液压缸的活塞就是后一级液压缸的缸筒,活塞伸出的顺序是从大活塞到小活塞,相应的推力也是从大到小,而伸出的速度则是由慢到快。空载缩回的顺序一般是从小活塞到大活塞,收缩后液压缸总长度较短,占用空间较小,结构紧凑。多级液压缸适用于工程机械和其他行走机械,如起重机伸缩臂液压缸、自卸汽车举升液压缸等都是多级液压缸。 |
| | | </p> |
| | | <div class="fl jc-sb al-fe openImgBox center mt-10"> |
| | | <div> |
| | | <img class="w80" src="../../assets//images/Figure-0008-02-01.png" alt="" /> |
| | | </div> |
| | | <div> |
| | | <img class="w80" src="../../assets//images/Figure-0008-02-02.png" alt="" /> |
| | | </div> |
| | | <div> |
| | | <img class="w80" src="../../assets//images/Figure-0008-02-03.png" alt="" /> |
| | | </div> |
| | | </div> |
| | | <p class="img">图5.8 多级液压缸结构简图和实物图</p> |
| | | <p class="poemtitle-l">3.齿条活塞式液压缸</p> |
| | | <p class="content"> |
| | | 齿条活塞式液压缸由带有齿条杆的双活塞液压缸和齿轮齿条机构组成,其结构简图和实物图如图5.9所示。活塞往复运动经齿轮齿条机构变成齿轮轴往复转动,它多用于自动线、组合机床等转位或分度机构中。 |
| | | </p> |
| | | <div class="fl jc-sb al-fe openImgBox center mt-10"> |
| | | <div> |
| | | <img class="w80" src="../../assets//images/Figure-0008-03-01.png" alt="" /> |
| | | </div> |
| | | <div> |
| | | <img class="w80" src="../../assets//images/Figure-0008-03-02.png" alt="" /> |
| | | </div> |
| | | </div> |
| | | <p class="img">图5.9 齿条活塞式液压缸结构简图和实物图</p> |
| | | </div> |
| | | </div> |
| | | </div> |
| | | <!-- 88页 --> |
| | |
| | | <li>·88·</li> |
| | | <li class="headerText">液 压 传 动</li> |
| | | </ul> |
| | | <div class="bodystyle"></div> |
| | | <div class="bodystyle"> |
| | | <p class="dialogQuestion"> |
| | | <span class="td-0"> |
| | | <svg t="1717640665152" class="icon" viewBox="0 0 1024 1024" version="1.1" |
| | | xmlns="http://www.w3.org/2000/svg" fill="#fff" p-id="11009" width="25.098" |
| | | height="24.098"> |
| | | <path |
| | | d="M896.152 336.108l0 576.229c0 26.511-21.508 48.019-48.018 48.019L175.866 960.356c-26.511 0-48.019-21.508-48.019-48.019L127.847 112.019c0-26.511 21.508-48.019 48.019-48.019l448.179 0c26.512 0 63.527 15.508 82.031 34.013l156.064 156.064C880.645 272.582 896.152 309.597 896.152 336.108zM832.127 384.127 624.045 384.127c-26.512 0-48.02-21.508-48.02-48.019L576.025 128.025 191.873 128.025l0 768.306 640.254 0L832.127 384.127zM335.93 448.153l352.14 0c9.004 0 16.006 7.003 16.006 16.006l0 32.013c0 9.003-7.002 16.007-16.006 16.007L335.93 512.179c-9.003 0-16.006-7.003-16.006-16.007l0-32.013C319.924 455.156 326.927 448.153 335.93 448.153zM704.076 592.21l0 32.013c0 9.004-7.002 16.007-16.006 16.007L335.93 640.23c-9.003 0-16.006-7.003-16.006-16.007L319.924 592.21c0-9.003 7.003-16.006 16.006-16.006l352.14 0C697.074 576.204 704.076 583.207 704.076 592.21zM704.076 720.262l0 32.013c0 9.003-7.002 16.006-16.006 16.006L335.93 768.281c-9.003 0-16.006-7.003-16.006-16.006l0-32.013c0-9.004 7.003-16.007 16.006-16.007l352.14 0C697.074 704.255 704.076 711.258 704.076 720.262zM640.051 320.102l188.076 0c-3.002-8.505-7.502-17.009-11.002-20.511L660.563 143.029c-3.502-3.501-12.006-8-20.512-11.003L640.051 320.102z" |
| | | p-id="11010"></path> |
| | | </svg> |
| | | </span> |
| | | <span class="td-0 pd-0">思考题和习题</span> |
| | | </p> |
| | | <p class="fs-19"> |
| | | 5.1 已知单桥活塞式液压缸缸简直径 <span class="italic">D</span>=100 mm,活塞杆直径<span class="italic">d</span>=50 |
| | | mm,工作压力<math display="0"> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>=2 MPa,流最为 q=10 L/min,回油背压力为<math display="0"> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>=0.5 MPa,求活塞往复运动时各自的推力和运动速度。 |
| | | </p> |
| | | <div class="mt-10 mb-10"> |
| | | <TEditorVue :value="questionData[0].userAnswer" :disabled="questionData[0].isComplete" |
| | | @getContent=" |
| | | (val) => { |
| | | questionData[0].userAnswer = val; |
| | | } |
| | | " /> |
| | | </div> |
| | | <p class="fs-19"> |
| | | 5.2 已知单杆活塞式液压缸缸筒直径 D=50 mm,活塞杆直径d=35 mm,泵供油流量为q=10 |
| | | /min,在不考虑其他损失时,求:(1)液压缸差动连接时的运动速度;(2)若缸在差动阶段所能克服的外负载F=1000N,缸内油液压力有多大? |
| | | </p> |
| | | <div class="mt-10 mb-10"> |
| | | <TEditorVue :value="questionData[1].userAnswer" :disabled="questionData[1].isComplete" |
| | | @getContent=" |
| | | (val) => { |
| | | questionData[1].userAnswer = val; |
| | | } |
| | | " /> |
| | | </div> |
| | | </div> |
| | | </div> |
| | | </div> |
| | | <!-- 89页 --> |
| | |
| | | <li class="headerText">第 5 章 液  压  缸</li> |
| | | <li>·89·</li> |
| | | </ul> |
| | | <div class="bodystyle"></div> |
| | | <div class="bodystyle"> |
| | | <p class="fs-19"> |
| | | 5.3 一柱塞缸柱塞固定,缸筒运动,从空心柱塞中通人压力油,压力为p,流量为q,缸简直径为 D,柱塞外径为 d,空心柱塞内孔直径为山,在不考虑其他损失时,求柱塞缸所产生 |
| | | 的推力和运动速度。 |
| | | </p> |
| | | <div class="mt-10 mb-10"> |
| | | <TEditorVue :value="questionData[2].userAnswer" :disabled="questionData[2].isComplete" |
| | | @getContent=" |
| | | (val) => { |
| | | questionData[2].userAnswer = val; |
| | | } |
| | | " /> |
| | | </div> |
| | | <p class="fs-19"> |
| | | 5.4 如图 5.20 所示,液压泵的铭牌参数为 q=18 /min,p=6.3 MPa,设单杆活塞式液压缸活塞直径 D=90 mm,活塞杆直径 d=60 |
| | | mm,在不计管路压力和液压缸机械损失且负载F=28 000 N时,求在各图示情况下压力表的指示压力是多少(<math display="0"> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>=2 MPa)? |
| | | </p> |
| | | <div class="mt-10 center"> |
| | | <img class="w80" src="../../assets//images/Figure-0017-04.jpg" alt="" /> |
| | | </div> |
| | | <p class="img">图 5·20</p> |
| | | <div class="mt-10 mb-10"> |
| | | <TEditorVue :value="questionData[3].userAnswer" :disabled="questionData[3].isComplete" |
| | | @getContent=" |
| | | (val) => { |
| | | questionData[3].userAnswer = val; |
| | | } |
| | | " /> |
| | | </div> |
| | | </div> |
| | | </div> |
| | | </div> |
| | | <!-- 90页 --> |
| | |
| | | <li>·90·</li> |
| | | <li class="headerText">液 压 传 动</li> |
| | | </ul> |
| | | <div class="bodystyle"></div> |
| | | <div class="bodystyle"> |
| | | <p class="fs-19"> |
| | | 5.5 如图5.21所示的串联液压缸,有效作用面积分别是<math display="0"> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>和<math display="0"> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>,两活塞杆的外负载分别是<math display="0"> |
| | | <msub> |
| | | <mi>F</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>,和<math display="0"> |
| | | <msub> |
| | | <mi>F</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>,在不计损失的情况下,求压力<math display="0"> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>、<math display="0"> |
| | | <msub> |
| | | <mi>p</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>,和运动速度<math display="0"> |
| | | <msub> |
| | | <mi>v</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>和<math display="0"> |
| | | <msub> |
| | | <mi>v</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>各是多少? |
| | | </p> |
| | | <div class="mt-10 center"> |
| | | <img class="img-b" src="../../assets//images/Figure-0018-01.jpg" alt="" /> |
| | | </div> |
| | | <p class="img">图 5·21</p> |
| | | <div class="mt-10 mb-10"> |
| | | <TEditorVue :value="questionData[4].userAnswer" :disabled="questionData[5].isComplete" |
| | | @getContent=" |
| | | (val) => { |
| | | questionData[4].userAnswer = val; |
| | | } |
| | | " /> |
| | | </div> |
| | | <p class="fs-19"> |
| | | 5.6 如图5.22 所示的并联液压缸中,有效作用面积<math display="0"> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>=<math display="0"> |
| | | <msub> |
| | | <mi>A</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>,外负载<math display="0"> |
| | | <msub> |
| | | <mi>F</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>><math display="0"> |
| | | <msub> |
| | | <mi>F</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>,液压泵的供油流量为<math display="0"> |
| | | <msub> |
| | | <mi>q</mi> |
| | | <mrow> |
| | | <mo>p</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>,当液压缸2的活塞运动时,求运动速度<math display="0"> |
| | | <msub> |
| | | <mi>v</mi> |
| | | <mrow> |
| | | <mo>1</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>、<math display="0"> |
| | | <msub> |
| | | <mi>v</mi> |
| | | <mrow> |
| | | <mo>2</mo> |
| | | </mrow> |
| | | </msub> |
| | | </math>和液压泵的出口压力<math display="0"> |
| | | <mi>p</mi> |
| | | </math>各是多少? |
| | | </p> |
| | | <div class="mt-10 center"> |
| | | <img class="img-b" src="../../assets//images/Figure-0018-02.jpg" alt="" /> |
| | | </div> |
| | | <p class="img">图 5·22</p> |
| | | <div class="mt-10 mb-10"> |
| | | <TEditorVue :value="questionData[5].userAnswer" :disabled="questionData[5].isComplete" |
| | | @getContent=" |
| | | (val) => { |
| | | questionData[5].userAnswer = val; |
| | | } |
| | | " /> |
| | | </div> |
| | | </div> |
| | | </div> |
| | | </div> |
| | | <!-- 91页 --> |
| | |
| | | <li class="headerText">第 5 章 液  压  缸</li> |
| | | <li>·91·</li> |
| | | </ul> |
| | | <div class="bodystyle"></div> |
| | | <div class="bodystyle"> |
| | | <p class="fs-19"> |
| | | 5.7 设计一单杆活塞式液压缸,要求快进时为差动连接,快进和快退(有杆腔进油)时的速度均为6 m/mi。工进时(无杆腔进油,非差动连接)可驱动的负载为F=25 000 N,取工作压力p =5 |
| | | MPa,回油背压力为 0.25 MPa,选用额定压力为 6.3 MPa,额定流量为25 |
| | | L/min的液压泵,求: |
| | | </p> |
| | | <p class="fs-19">(1)液压缸缸筒内径和活塞杆直径各是多少?</p> |
| | | <div class="mt-10 mb-10"> |
| | | <TEditorVue :value="questionData[6].userAnswer" :disabled="questionData[6].isComplete" |
| | | @getContent=" |
| | | (val) => { |
| | | questionData[6].userAnswer = val; |
| | | } |
| | | " /> |
| | | </div> |
| | | <p class="fs-19">(2)液压缸缸筒壁厚(缸筒材料选用无缝钢管)是多少?</p> |
| | | <div class="mt-10 mb-10"> |
| | | <TEditorVue :value="questionData[7].userAnswer" :disabled="questionData[7].isComplete" |
| | | @getContent=" |
| | | (val) => { |
| | | questionData[7].userAnswer = val; |
| | | } |
| | | " /> |
| | | </div> |
| | | </div> |
| | | </div> |
| | | </div> |
| | | <!-- 92页 --> |
| | | <div class="page-box mt-20" page="13"> |
| | | <!-- <div class="page-box mt-20" page="13"> |
| | | <div v-if="showPageList.indexOf(13) > -1"> |
| | | <ul class="header-left"> |
| | | <li>·92·</li> |
| | |
| | | </ul> |
| | | <div class="bodystyle"></div> |
| | | </div> |
| | | </div> |
| | | </div> --> |
| | | <!-- 93页 --> |
| | | <div class="page-box mt-20" page="14"> |
| | | <!-- <div class="page-box mt-20" page="14"> |
| | | <div v-if="showPageList.indexOf(14) > -1"> |
| | | <ul class="header-left"> |
| | | <li class="headerText">第 5 章 液  压  缸</li> |
| | |
| | | </ul> |
| | | <div class="bodystyle"></div> |
| | | </div> |
| | | </div> |
| | | </div> --> |
| | | <!-- 94页 --> |
| | | <div class="page-box mt-20" page="15"> |
| | | <!-- <div class="page-box mt-20" page="15"> |
| | | <div v-if="showPageList.indexOf(15) > -1"> |
| | | <ul class="header-left"> |
| | | <li>·94·</li> |
| | |
| | | </ul> |
| | | <div class="bodystyle"></div> |
| | | </div> |
| | | </div> |
| | | </div> --> |
| | | <!-- 95页 --> |
| | | <div class="page-box mt-20" page="16"> |
| | | <!-- <div class="page-box mt-20" page="16"> |
| | | <div v-if="showPageList.indexOf(16) > -1"> |
| | | <ul class="header-left"> |
| | | <li class="headerText">第 5 章 液  压  缸</li> |
| | |
| | | </ul> |
| | | <div class="bodystyle"></div> |
| | | </div> |
| | | </div> |
| | | </div> --> |
| | | <!-- 96页 --> |
| | | <div class="page-box mt-20" page="17"> |
| | | <!-- <div class="page-box mt-20" page="17"> |
| | | <div v-if="showPageList.indexOf(17) > -1"> |
| | | <ul class="header-left"> |
| | | <li>·96·</li> |
| | |
| | | </ul> |
| | | <div class="bodystyle"></div> |
| | | </div> |
| | | </div> |
| | | </div> --> |
| | | <!-- 97页 --> |
| | | <div class="page-box mt-20" page="18"> |
| | | <!-- <div class="page-box mt-20" page="18"> |
| | | <div v-if="showPageList.indexOf(18) > -1"> |
| | | <ul class="header-left"> |
| | | <li class="headerText">第 5 章 液  压  缸</li> |
| | |
| | | </ul> |
| | | <div class="bodystyle"></div> |
| | | </div> |
| | | </div> |
| | | </div> --> |
| | | <!-- 98页 --> |
| | | <!-- <div class="page-box mt-20" page="5"> |
| | | <div v-if="showPageList.indexOf(5) > -1"> |
| | |
| | | </div> |
| | | </template> |
| | | <script> |
| | | import { getResourcePath } from "@/assets/methods/resources"; |
| | | import { getCollectResource, setCollectResource } from "@/assets/methods/resources"; |
| | | import TEditorVue from "@/components/teditor/index.vue"; |
| | | export default { |
| | | name: "chapterOne", |
| | | components: { TEditorVue }, |
| | | props: { |
| | | showPageList: { |
| | | type: Array, |
| | |
| | | }, |
| | | data() { |
| | | return { |
| | | collectImg: require("../../assets/images/icon/heart.png"), |
| | | collectCheck: require("../../assets/images/icon/heart-check.png"), |
| | | videoPathOne: "", |
| | | collectResourceList: [], |
| | | chapterData: { |
| | | isCollectVideo: false, |
| | | }, |
| | | showAnswerOne: false, |
| | | showAnswerTwo: false, |
| | | showAnswerThree: false, |
| | | showAnswerFour: false, |
| | | questionData: [ |
| | | { |
| | | isComplet: false, |
| | | userAnswer: "", |
| | | }, |
| | | { |
| | | isComplet: false, |
| | | userAnswer: "", |
| | | }, |
| | | { |
| | | isComplet: false, |
| | | userAnswer: "", |
| | | }, |
| | | { |
| | | isComplet: false, |
| | | userAnswer: "", |
| | | }, |
| | | { |
| | | isComplet: false, |
| | | userAnswer: "", |
| | | }, |
| | | |
| | | { |
| | | isComplet: false, |
| | | userAnswer: "", |
| | | }, |
| | | { |
| | | isComplet: false, |
| | | userAnswer: "", |
| | | }, |
| | | { |
| | | isComplet: false, |
| | | userAnswer: "", |
| | | }, |
| | | ] |
| | | }; |
| | | }, |
| | | async mounted() { |
| | | this.getVidoePath(); |
| | | this.collectResourceList = await getCollectResource(this.config.activeBook.bookId) |
| | | }, |
| | | methods: { |
| | | async getVidoePath() { |
| | | this.videoPathOne = await getResourcePath( |
| | | "9b566a3e055c0e59933c2141a6837604" |
| | | ); |
| | | }, |
| | | handleCollect(e) { |
| | | if (e == 'video-01') { |
| | | this.handleCollectResource("9b566a3e055c0e59933c2141a6837604", "9b566a3e055c0e59933c2141a6837604", '', "视频", "bits", '视频:液压缸的分类与特点') |
| | | this.chapterData.isCollectVideo = !this.chapterData.isCollectVideo |
| | | } |
| | | }, |
| | | //资源收藏事件 |
| | | // resourcePath 文件路径, |
| | | // resourceType 文件类型 |
| | | // source 文件来源 |
| | | handleCollectResource(id, md5, resourcePath, resourceType, source, resourceName) { |
| | | let list = this.collectResourceList |
| | | if (list.findIndex(item => item.id == id) > -1) { |
| | | list = list.filter(item => item.id != id) |
| | | } else { |
| | | list.push({ |
| | | id, |
| | | md5, |
| | | resourcePath, |
| | | resourceType, |
| | | source, |
| | | resourceName, |
| | | }) |
| | | } |
| | | this.collectResourceList = list |
| | | setCollectResource(this.config.activeBook.bookId, this.collectResourceList) |
| | | }, |
| | | |
| | | } |
| | | }; |
| | | </script> |
| | | |