高维非光滑动力系统的周期响应数值分析

本文研究以复杂弹塑性结构，含间隙或干摩擦的机械等为背景的高维非光滑动力系统周期响应的数值解法。提出了一种对短时间历程动响应进行曲线拟合后外推周期响应的迭代格式，改变了现有方法未充分利用动力系统内在特性及中间计算结果所含信息的不足，使计算效率有了阶次性的提高且收敛性能亦大为改善。

NUMERICAL ANALYSIS TO PERIODIC RESPONSE OF NONSMOOTH DYNAMIC SYSTEMS OF HIGH-DIMENSION

This paper deals with the numerical solution of high-dimensional dynamic systems with nonsmooth characters,such as structural elastoplasticity,mechanical backlash and dry friction.As a stable periodic response of the system attracts its transient reponse, it may be extracted from the transient response somehow.This paper suggests a novel iteration scheme of extrapolating the periodic from a short time history of its transient response fitted by curve. and presents a skill to avoid fitting nonlinear perameters by fitting linear differential equations other than transient response. Compered with current methods such as shooting, harmonic belancing, the present scheme can fully use the computational information of transient response and system characters, thus. the computational efficiency is increased by an order and the convergence depending on initial iteration is greatly improved.