场论视角下的刚体运动学  

RIGID BODY KINEMATICS FROM THE PERSPECTIVE OF FIELD THEORY

作　　者：张新华[1] ZHANG Xinhua(School of Aerospace,Xi'an Jiaotong University,Xi'an 710049,China)

机构地区：[1]西安交通大学航天学院,西安710049

出　　处：《力学与实践》2021年第2期285-288,共4页Mechanics in Engineering

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。Based on the Helmholtz decomposition theorem of the vector field,the rigid body kinematics in threedimensional 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.

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 

分 类 号：O311.2[理学—一般力学与力学基础]