在非比例阻尼情况下结构动力响应的摄动分析方法  

PERTURBATION ANALYSIS METHOD OF THE NON-PROPORTIONAL DAMPING EFFECT ON STRUCTURE DYNAMIC RESPONSE

作　　者：郭永刚[1] 曲乃泗[1] 董毓新[1] 

机构地区：[1]大连理工大学,中国大连116023

出　　处：《地震工程与工程振动》1995年第4期48-54,共7页Earthquake Engineering and Engineering Dynamics

摘　　要：本文将摄动方法应用于非比例阻尼系统,将一个非比例阻尼问题转化为一系列比例阻尼问题叠加的形式,从数学上对结构运动方程进行了较严格的求解,给出了在简谐荷载情况下的响应计算公式,并对所给方法的收敛性进行了研究,给出了相应的收敛条件。文中通过算例证明了本文方法的正确性与有效性。In this paper perturbation method is applied to non- proportional damping system and the non proportional damping problem is transformed into a series of proportional damping ones in the superposition form. The structure motion equation is strictly solved mathematically. The paper also presents the calculation formula of the dynamic response of the structure subjected to harmonic and general load and the convergence of the proposed method is also studied in this paper. The convergence conditions arc given. Finally the examples show that this method is proper and effective.

关 键 词：收敛 结构动力 摄动法 摄动 非比例阻尼 

分 类 号：O342[理学—固体力学]