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多自由度线性振动系统运动微分方程的确定
引用本文:王锡明.多自由度线性振动系统运动微分方程的确定[J].北京工商大学学报(自然科学版),1993(1).
作者姓名:王锡明
作者单位:北京轻工业学院机械工程系
摘    要: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.

关 键 词:惯性矩阵  刚度矩阵  阻尼矩阵

THE ESTABLISHMENT OF THE MOTION DIFFERENTIAL EQUATIONS OF MULTI-DEGREE OF FREEDOM LINEAR VIBRATION SYSTEMS
Wang Ximing Beijing Institute of Light Industry.THE ESTABLISHMENT OF THE MOTION DIFFERENTIAL EQUATIONS OF MULTI-DEGREE OF FREEDOM LINEAR VIBRATION SYSTEMS[J].Journal of Beijing Technology and Business University:Natural Science Edition,1993(1).
Authors:Wang Ximing Beijing Institute of Light Industry
Institution:Wang Ximing Beijing Institute of Light Industry
Abstract: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
Keywords:inertial matrix  Stiffness matrix  damping matrix
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