力学理论的矢量分析力学方法

综合矢量力学和分析力学理论的优点,给出用分析力学变量表示的位矢、速度、加速度以及质点的矢量分析动力学方程,探讨一种新的处理力学问题的矢量分析力学方法.该方法的主要特点是:直观、物理图像清晰,在各种坐标系中有统一的运动学方程和动力学方程,便于引进分析力学变量,适宜处理复杂的、多约束力学体系的力学问题.

A Method of Vector Analytical Mechanics for Mechanical Theories

The paper presents a displacement-vector formula, a velocity formula , an acceleration formula and equations of the vector analytical dynamics of particle expressed by the analytical mechanical variables through synthesizing the advantages of the vector mechanical theory and the analytical mechanical theory, and explores a new kind of method by which the mechanical problems are treated A method of vector analytical mechanics. The main features of the method of vector analytical mechanics include, directly perceived through the senses, the clear physical pictures and uniform kinematical and dynamical equations in every kind of coordinate systems, convenient to draw into the analytical mechanical variables and suitable for treatment of the mechanical questions of the complicated multi-binding mechanical systems.