论文部分内容阅读
1 前言运动弹性系统的动力分析比一般的静力分析复杂得多,在系统运动方程的组建和方程的求解过程中常会出现一些意想不到的困难。为了把握系统分析的可靠性和解的精度,需要某种检验方法。能量检验是其中很有效的一种。能量检验法的基本思想是:根据机械系统能量守恒原则,在任意时段内,系统的内能增量等于外荷所做的功。运动弹性多体系统运动方程为变系数非线性的微分方程组,一般来说,只能用数值方法解之。在数值求解时,可用能量检验方法,跟踪解的过程,随时检查系统内部能量平衡情况,并根据输出的能量检查曲线判断解的收敛和稳定情况。
1 INTRODUCTION The dynamic analysis of the kinematic elastic system is much more complicated than the usual static analysis. Some unexpected difficulties often occur in the formation of the system of equations of motion and in the solution of the equations. In order to grasp the reliability of system analysis and the accuracy of solution, we need some test method. Energy testing is one of the most effective ones. The basic idea of energy test method is: According to the principle of energy conservation of mechanical systems, the internal energy increment of the system is equal to the work done by the external load at any time. Kinematic elastic multi-body system The equation of motion is a system of differential equations with variable coefficients and, in general, can only be solved numerically. In the numerical solution, the energy test method can be used to track the solution process and check the energy balance within the system at any time, and determine the convergence and stability of the solution according to the output energy check curve.