多自由度线性振动系统运动微分方程的确定

THE ESTABLISHMENT OF THE MOTION DIFFERENTIAL EQUATIONS OF MULTI-DEGREE OF FREEDOM LINEAR VIBRATION SYSTEMS

正确地建立多自由度线性振动系统的运动微分方程式是解决多自由度系统振动问题的重要一步.这就要求正确地确定系统的惯性矩阵、刚度矩阵和阻尼矩阵.怎样较简捷准确地建立这些矩阵进而确定系统的运动微分方程式,本文进行了探讨.利用达朗伯原理和动力学基本定理确定系统的惯性矩阵是本文所要解决的主要问题.

To corrctly establish the motion differential eguations of multi-degree of freedom linear vibration system is an important step in solving the vibration problems of multi-degree of freedom system. It reguires to correctly establish the inertial matrix, stiffness matrix and damping matrix. And how to find these three matrixes above-mentioned in a forthright and correct way has been discussed in this paper. Use of D'Alembert's principle and general theorems of dynamics to set up the inertial matrix is the emphasis of this paper