摘要
本文就运动学中点的合成运动分析方法进行了梳理与研讨。采用广义坐标方法推导了动参考系作一般运动下点的速度与加速度合成公式,并与教材中的表达式进行了对比。此外还采用本文提出的基于牵连点运动的分析方法,对点的合成运动进行了详细的研究,并重点讨论了两种分析方法的特点与应用。
In the present paper,the analytical methods of the motion composition for moving points are clarified and discussed.The velocity and the acceleration composition formulas are derived for an arbitrarily moving reference frame by introducing the generalized coordinates.The results are compared with the common expressions in textbooks.Besides,the present authors propose a method to analyze the motion composition of moving points with the focus on the motion analysis of the entrainment point.Discussions are made on the application to a planar entrainment motion and the special features of these two kind of analytical methods.
作者
孙毅
陈立群
SUN Yi;CHEN Liqun(School of Aerospace Engineering,Harbin Institute of Technology,Harbin 150001,China;School of Science,Harbin Institute of Technology(Shenzhen),Shenzhen 518055,Guangdong,China)
出处
《力学与实践》
北大核心
2023年第4期881-885,共5页
Mechanics in Engineering
基金
教育部新工科项目(E-SXWLHXLX20202610)
中国高教学会教研分会(JKJH201902)资助。
关键词
点的合成运动
广义坐标方法
牵连点运动
motion composition for moving point
generalized coordinate method
kinematics of transport point
