THE EQUATIONS OF MOTION OF A MECHANICAL SYSTEM IN MATRIX FORM

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-L(?)range,Hamilton-Ostrogradski and Gauss.     

应用激光全息干涉术及有限元法对2050热连轧机机座自振特性的三维分析

根据相似理论,进行了宝山钢铁总厂热轧厂2050热连轧精轧机机座自振特性的三维模拟研究,并应用全息干涉术进行了前三阶主振型分析.本文还进行了三维有限元数值分析与模拟值进行了映照.二者结果是吻合的.     

力学系统运动方程的矩阵表示法

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.     

The three-dimensional analysis of the self-vibrational characteri-stics of the 2050mm hot-strip mill housing by means of laser holographic interferometry and finite element method

According to the theory of similarity,a three-dimensional simulation study on the self-vibrational characteristics of the2050mm hot-strip finishing mill housing at Baoshan Ironand Steel Complex has been carried out.The analysis of the main vibrational modes of thefirst three orders has also been done by means of holographic interferometry.In addition,the authors have carried out the numerical analysis of finite elements in three dimensions.The comparison of the results of both analyses(simulation analysis and numerical analysisof finite element)shows that they are consistent.     

The equations of motion of a mechanical system in matrix form

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 investigation 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-Lagrange, Hamilton-Ostrogradski and Gauss.