摘要
首先将泊松公式推广,通过引入刚体(动系)瞬时角速度矢和瞬时角加速度矢的概念,得到固结于做任意运动刚体上的矢量对时间一阶导数的表达式,并基于该表达式及刚体的角速度矢和角加速度矢以及三种速度和加速度的概念给出了速度和加速度合成定理的解析证明过程。
By extending the Poisson's formula, and introducing the concepts of instant angular velocity vector andaccerlation vector of a rigid body, expression of the first derivative of a vector fixed witha rigid body movingarbitrarily was obtained. And, the procession of analytical method for proving the composite theorems of velocity andacceleration was proposed based on the expression, the instant angle vectors of velocity and acceleration of a rigid bodyand concepts of three kinds of velocity and acceleration.
作者
苏振超
薛艳霞
SU Zhenchao;XUE Yanxia(Department of Civil Engineering, Tan Kah Kee College, Xiamen University, Zhangzhou Fujian 363105, China)
出处
《莆田学院学报》
2017年第5期7-10,共4页
Journal of putian University
基金
福建省教育科学"十三五"规划2016年度规划课题(重点资助项目)(FJJKCGZ16-152)
关键词
瞬时角速度矢
瞬时角加速度矢
速度合成定理
加速度合成定理
解析方法
合成运动
理论力学
instant vector of angular velocity
instant vector of angular accerlation
theorem of velocity composite
theorem of acceleration composite
analytical method
synthetic motion
theoretical mechanics