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结构非线性随机地震反应的概率密度演化方法
引用本文:刘章军,陈建兵,李杰.结构非线性随机地震反应的概率密度演化方法[J].固体力学学报,2009,30(5).
作者姓名:刘章军  陈建兵  李杰
作者单位:1. 三峡大学土木水电学院,宜昌,443002;同济大学土木工程学院,上海,200092
2. 同济大学土木工程学院,上海,200092
基金项目:国家自然科学基金创新研究群体项目,国家自然科学基金项目,湖北省教育厅项目 
摘    要:运用随机过程的正交展开方法,将地震动加速度过程展开为由少量独立随机变量所调制的确定性函数的线性组合形式.结合概率密度演化理论,建立了结构非线性随机地震反应分析的密度演化方法.以滞回结构非线性反应分析为例,考察了一个具有10个自由度的剪切型框架结构的随机地震反应分析问题.分析表明,结构非线性地震反应具有明显的随机涨落现象,且概率密度曲线与常见的正态等分布相差甚远.

关 键 词:结构  非线性分析  地震动  概率密度演化方法  正交展开

PROBABILITY DENSITY EVOLUTION METHOD-BASED NONLINEAR RANDOM SEISMIC RESPONSE ANALYSIS OF STRUCTURES
Zhangjun Liu,Jianbing Chen,Jie Li.PROBABILITY DENSITY EVOLUTION METHOD-BASED NONLINEAR RANDOM SEISMIC RESPONSE ANALYSIS OF STRUCTURES[J].Acta Mechnica Solida Sinica,2009,30(5).
Authors:Zhangjun Liu  Jianbing Chen  Jie Li
Abstract:Based on the orthogonal expansion method of stochastic processes, seismic acceleration processes can be represented as a linear combination of deterministic functions modulated by a set of mutually independent random variables. In conjunction with the probability density evolution method, which is capable of capturing the instantaneous probability density function and its evolution of linear and/or nonlinear response of structures, the nonlinear random seismic response of structures can be successfully researched. A hysteretic structure is taken as an example. The probabilistic information of the response of a 10-story shear frame structure under earthquake excitations is investigated. The investigations indicate that the probability density curves of the nonlinear seismic response of structures have the characteristics of random fluctuation,and they are usually far from well known distribution types such as the normal distribution, etc.
Keywords:structures  nonlinear analysis  earthquake ground motion  probability density evolution method  orthogonal expansion
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