非比例阻尼结构体系动力计算显式算法及其稳定性分析

英文篇名：Explicit Methods for Dynamic Problems of Non-proportionally Damped Structures and the Numerical Stability Analysis
中文刊名：结构工程师
英文刊名：Structural Engineers
作者：李健 ; 唐寿高
英文作者：LI Jian ; TANG Shougao ; School of Aerospace Engineering and Applied Mechanics ; Tongji University
中文关键词：非比例阻尼 ; 显式算法 ; 精度 ; 稳定性
英文关键词：non-proportional damping ; explicit algorithm ; accuracy ; stability
出版日期：2013-08-28
机构：同济大学航空航天与力学学院;
年：2013
期：04
出版单位：结构工程师

摘要

讨论了当前几种用于非比例阻尼结构体系动力计算的显式算法稳定性机理,结合此类算法递推格式的稳定性特点,提出了一种适用于非比例阻尼结构体系动力计算的改进显式算法。基于多自由度体系,采用以单元Rayleigh阻尼矩阵组装形成整体阻尼矩阵的方法,借助开源有限元软件OpenSees的二次开发,对中心差分法及前述显式算法进行了稳定性分析和讨论,并给出了稳定性判定的建议。
The mechanism of numerical stability of several explicit methods for dynamic problems of non-proportionally damped structures was discussed.By revising the Central Difference Method,another explicit method was proposed.Based on a MDOF system,the means of assembling element damping matrices into an overall damping matrix was implemented by using an open-source FEA software,OpenSees.The numerical stability of the Central Difference Method and the aforementioned explicit methods was analyzed.Some recommendations on the judgment of the numerical stability of these methods were given.

引文

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