结构非线性动力分析的常微分方程解法

Solution of Ordinary Differential Equation for Nonlinear Dynamics Analysis of Structure

将常微分方程初值问题的数值解法应用于结构非线性动力分析,并对非线性动力状态方程进行求解．对单步法中的Runge-Kutta方法,多步法中的预估校正Adams-Bashforth-Moulton方法、预估校正Milne-Simpson方法及预估Milne-Hamming方法应用于结构非线性动力分析的稳定性以及精度进行了探讨．

Based on the numerical solution of initial problem of ordinary differential equation is applied to nonlinear dynamics analysis of structure, the solution of the state equations for nonlinear dynamics system governed by the equation is discussed. The numerical solutions of which include single-step method such as Runge-Kutta method and multi-step method such as Adams-Bashforth-Moulton＇s predictor-corrector method, Milne-Simpson＇s predictor-corrector method and Milne-Hamming＇s predictor- corrector method. The stability and accuracy of those numerical solutions are discussed for application to nonlinear dynamics analysis of structure.