连续变化向量的微分几何关系对加速度合成定理的证明  

Proof of Acceleration Composition Theorem by Differential Geometry Relation of Continuous Change Vector

作　　者：江维[1] 钱士强[1] 

机构地区：[1]上海工程技术大学材料工程学院,上海201620

出　　处：《上海工程技术大学学报》2012年第2期189-192,共4页Journal of Shanghai University of Engineering Science

基　　金：上海市科委专项基金资助项目(0852nm01400);上海市重点学科建设资助项目(J51402);上海工程技术大学研究生科研创新资助项目(2011yjs16)

摘　　要：为了直观地给出绝对、相对、牵连、科氏加速度的物理几何关系,从相对于动系连续变化向量的微分几何关系出发,定义相对于动系连续变化向量对时间的导数关系,再推广到位移和速度对时间的求导中去,进而明确地揭示这些加速度之间的几何关系.In order to intuitively show the relationships among absolute, relative, connect and Coriolis accelerations, the time derivative of the continuous change vector was defined from the view of differenti- al geometry relation of the continuous change vector in the relative motion coordination system. Then, the relations were extended to the time derivative of displacement and velocity, and the geometry rela- tionships among those accelerations thus can be detected clearly.

关 键 词：矢量微分 速度 加速度 科氏加速度 

分 类 号：O311.1[理学—一般力学与力学基础]