力学系统运动方程的矩阵表示法
The Equations of Motion of a Mechanical System in Matrix Form
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摘要: 本文阐述以矩阵形式建立力学系统运动方程的方法.采用矩阵形式可使动力学方程写得紧凑,以便于用电子计算机研究多自由度的力学系统.基于动力学基本规律、达朗倍尔-拉格朗日原理、哈密顿-奥斯塔拉格勒特斯基原理、以及高斯原理,列出了建立运动方程的方法.Abstract: This work recommends methods of construction of equations of motion of mechanical systems in matrix form.The use of a matrix form allows one to write an equation of dynamics in compact form,convenient for the in vestigation of multidimensional mechanical systems with the help of computers.Use is made of different methods of constructing equations of motion,based on the basic laws of dynamics as well as on the principles of D'Alambert-Le range,Hamilton-Ostrogradski and Gauss.
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[1] Мухарлямов Р.Г.,Об уравниях движения механических систем,Дuфференццалъные Уравнця,19,12(1983),2048-2056. [2] Greenwood,Donald T.,Classical Dynamics,Prentiec Hall,Inc.,Englewood Cliffs,N.J.(1977),337. -
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