力学与实践 ›› 2021, Vol. 43 ›› Issue (2): 285-288.DOI: 10.6052/1000-0879-20-159

• 教育研究 • 上一篇    下一篇

场论视角下的刚体运动学

张新华1)()   

  1. 西安交通大学航天学院,西安 710049
  • 收稿日期:2020-04-24 修回日期:2020-06-20 出版日期:2021-04-20 发布日期:2021-04-20
  • 通讯作者: 张新华
  • 作者简介:1)张新华,教授,主要研究方向为一般力学、流变学。E-mail: xhzhang@mail.xjtu.edu.cn

RIGID BODY KINEMATICS FROM THE PERSPECTIVE OF FIELD THEORY

ZHANG Xinhua1)()   

  1. School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2020-04-24 Revised:2020-06-20 Online:2021-04-20 Published:2021-04-20
  • Contact: ZHANG Xinhua

摘要:

基于矢量场的Helmholtz分解定理,重新审视刚体运动学,分析了速度场与加速度场的构成成分。分别导出了速度场与加速度场的梯度、散度与旋度的表达式,并阐述了各自的力学含义。

关键词: 矢量场的分解, 刚体运动, 速度场, 加速度场, 旋度, 散度, 梯度

Abstract:

Based on the Helmholtz decomposition theorem of the vector field, the rigid body kinematics in three-dimensional space is revisited in this paper, with the components of the velocity field and the acceleration field analyzed, the expressions of the gradient, the divergence and the curl of the velocity field and the acceleration field derived, respectively, and their mechanical meanings expounded.

Key words: decomposition of vector field, motion of rigid body, velocity field, accleration field, curl, divergence, gredient

中图分类号: