基于卡位分析的曲柄摇杆机构运动学程序化研究

尹晓丽; 李春明

doi:10.21656/1000-0887.400173

基于卡位分析的曲柄摇杆机构运动学程序化研究

doi: 10.21656/1000-0887.400173

尹晓丽^1,2,
李春明^1,2

山东省自然科学基金(ZR2018PEE009);山东省高等学校科技计划(J17KA044)

基金项目: 山东省自然科学基金(ZR2018PEE009)；山东省高等学校科技计划（J17KA044）

详细信息

作者简介:
尹晓丽（1985—），女，副教授，博士生(E-mail: yinxl@slcupc.edu.cn);李春明（1971—），男，教授（通讯作者. E-mail: 11352317@qq.com）.

中图分类号: O311|TH113|TE933
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- 文章访问数: 1716
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出版历程
- 收稿日期: 2019-05-16
- 修回日期: 2020-03-20
- 刊出日期: 2020-04-01

On the Programmed Kinematics Computation of Crank Rocker Mechanism Based on the Kinematics Bifurcation Position Analysis

YIN Xiaoli^1,2,
LI Chunming^1,2

¹Shengli College of China University of Petroleum, China University of Petroleum (East China), Dongying, Shandong 257061, P.R.China;²College of Mechanical and Electronic Engineering, China University of Petroleum(East China), Qingdao, Shandong 266580, P.R.China

摘要

摘要: 曲柄摇杆机构是典型的平面四杆体机构，当曲柄为从动件时，存在曲柄与连杆共线的歧运动位（卡位或死点），难以实现准确的程序化研究.取曲柄为主动件，对矢量投影方程组多次求导和对角速度多次求导获得了相同的从动件位置角高阶导数.取摇杆为主动件，基于L’Hopital法则、导数乘法法则、链式求导法则和矢量方程图解法，获得了0/0型不定式的卡位运动学参数，并导出了计算公式，从而为准确的运动学程序化仿真打下了基础.算例表明，矢量投影方程组的求导与求解顺序不影响最终结果；在卡位，从动曲柄保持运动的连续性，没有冲击.
- 机构运动学 /
- 死点 /
- 卡位 /
- 歧运动位 /
- 图解法 /
- L’Hopital法则
Abstract: The crankrocker mechanism is a typical planar quabody mechanism. When the crank is a driven part, there is a kinematics bifurcation position (stuck position or dead point) with the collinear crank and rod. So it is difficult to achieve accurate programmed research. With the crank as the driving part, the same higher derivatives of the driven part position angles were obtained through differentiation of the vector projection equations and the angular velocity formula several times. With the rocker as the driving part, based on the L’Hopital’s rule, the derivative multiplication law, the chain derivative law and the vector equation graphic method, the kinematics parameters of 0/0 indefinites at the stuck position were obtained. The calculation formula was derived. So the foundation for accurate kinematics programmed simulation was made. The example shows that, 1) the order of derivation and solution of the vector projection equation system does not influence the final result; 2) the driven crank keeps the continuity of motion without impact at the stuck position.
- mechanism kinematics /
- dead point /
- stuck position /
- kinematics bifurcation position /
- graphic method /
- L’Hopital’s rule

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参考文献(12)

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文章访问数: 1716
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基于卡位分析的曲柄摇杆机构运动学程序化研究

doi: 10.21656/1000-0887.400173

作者简介:
尹晓丽（1985—），女，副教授，博士生(E-mail: yinxl@slcupc.edu.cn);李春明（1971—），男，教授（通讯作者. E-mail: 11352317@qq.com）.

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On the Programmed Kinematics Computation of Crank Rocker Mechanism Based on the Kinematics Bifurcation Position Analysis

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留言板

基于卡位分析的曲柄摇杆机构运动学程序化研究

doi: 10.21656/1000-0887.400173

作者简介: 尹晓丽（1985—），女，副教授，博士生(E-mail: yinxl@slcupc.edu.cn);李春明（1971—），男，教授（通讯作者. E-mail: 11352317@qq.com）.

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出版历程

On the Programmed Kinematics Computation of Crank Rocker Mechanism Based on the Kinematics Bifurcation Position Analysis

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出版历程

目录

作者简介:
尹晓丽（1985—），女，副教授，博士生(E-mail: yinxl@slcupc.edu.cn);李春明（1971—），男，教授（通讯作者. E-mail: 11352317@qq.com）.