张新华. 场论视角下的刚体运动学[J]. 力学与实践, 2021, 43(2): 285-288. DOI: 10.6052/1000-0879-20-159
引用本文: 张新华. 场论视角下的刚体运动学[J]. 力学与实践, 2021, 43(2): 285-288. DOI: 10.6052/1000-0879-20-159
ZHANG Xinhua. RIGID BODY KINEMATICS FROM THE PERSPECTIVE OF FIELD THEORY[J]. MECHANICS IN ENGINEERING, 2021, 43(2): 285-288. DOI: 10.6052/1000-0879-20-159
Citation: ZHANG Xinhua. RIGID BODY KINEMATICS FROM THE PERSPECTIVE OF FIELD THEORY[J]. MECHANICS IN ENGINEERING, 2021, 43(2): 285-288. DOI: 10.6052/1000-0879-20-159

场论视角下的刚体运动学

RIGID BODY KINEMATICS FROM THE PERSPECTIVE OF FIELD THEORY

  • 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。

     

    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.

     

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