东大机械设计基础I复习题答案
机械设计基础I复习题答案二、计算题计算图示机构的自由度,指出存在的复合铰链、局部自由度或虚约束判断该机构是否具有确定的运动,说明理由。 file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif解:E(F)为虚约束,D和B处存在局部自由度file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image004.giffile:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image006.gif该机构具有确定的运动,主动构件数与自由度数相等。 三、计算题图示轮系中,已知file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image008.gif,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image010.gif,齿轮1的转速file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image012.gif,求file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image014.gif及行星架的转速file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image016.gif 时齿轮3的转速file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image018.gif。file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image020.gif解:该轮系为一差动轮系。 (1)根据同心条件,轮1和轮2的中心距应等于轮3和轮2的中心距,对于标准齿轮,相啮合的齿轮模数相等,故 file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image022.gif,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image024.gif,则有 file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image026.gif,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image028.gif (2)当file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image016.gif时,即行星架H固定,该轮系成为定轴轮系,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image030.gif,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image032.gif 齿轮3的转向与齿轮1的转向相反。 四、计算题 图示为单个普通螺栓连接,当螺栓的预紧力为file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image034.gif时,试写出被连接件所能承受的横向力file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image036.gif的表达式,并说明式中各符号的意义。file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image038.jpg 解:根据不滑移条件,可知file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image040.gif 所以,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image042.gif,式中,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image034.gif为预紧力,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image045.gif为接合面间的摩擦系数,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image047.gif摩擦接合面数,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image049.gif螺栓个数,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image051.gif可靠性系数,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image036.gif横向外载荷。题中,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image054.gif,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image056.gif,故 file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image058.gif 五、计算题图示为轴系由一对30208滚动轴承支承。已知:轴向外载荷file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image060.gif,径向载荷分别为file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image062.gif,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image064.gif,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image066.gif。冲击载荷系数file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image068.gif,工作温度为100℃。轴承数据为file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image070.gif,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image072.gif,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image074.gif,派生轴向力file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image076.gif。file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image078.gif时,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image080.gif,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image082.gif;file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image084.gif时,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image086.gif,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image074.gif。试求该轴承寿命L10h。file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image089.gif解:(1)计算派生轴向力file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image091.gif、file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image093.giffile:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image095.gif,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image097.gif(2)计算轴向载荷file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image099.gif、file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image101.giffile:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image103.gif,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image105.gif(3)计算当量动载荷file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image107.gif、file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image109.gif file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image111.gif, file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image113.giffile:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image115.gif (4)计算轴承寿命file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image117.gif file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image119.gif,故按照轴承1计算,file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image121.giffile:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image123.gif 六、分析题图示为蜗杆——斜齿圆柱齿轮传动,蜗杆主动,右旋,转向如图。为使Ⅱ、Ⅲ轴上的轴向力方向相反。试求:(1)蜗轮的螺旋线方向;(2)齿轮3、4的螺旋线方向;(3)蜗轮2、齿轮3的受力分析。file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image125.gif file:///C:/Users/ADMINI~1/AppData/Local/Temp/msohtmlclip1/01/clip_image127.gif
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