非线性时变结构时变动力可靠性分析的FPK法

英文篇名：The FPK Method on Time-varying Dynamic Reliability of Nonlinear Time-varying Structure\+*
中文刊名：广西工学院学报
英文刊名：JOURNAL OF GUANGXI INSTITUTE OF TECHNOLOGY
作者：李创第 ; 黄任常 ; 陈肖萍
英文作者：Li Chuangdi Huang Renchang (Department of Architectural Engineering of Guangxi Institute of Technology\ Liuzhou 545005) Chen Xiaoping (Institute of Architectural Design of Maoming)
中文关键词：非线性 ; 时变性 ; 可靠性 ; FPK法
英文关键词：Nonlinear ; Time-varying ; Reliabiliey ; FPK method \ \ * ; Project supported by natural science foundation of Guangxi
出版日期：1999-12-30
机构：广西工学院土建系!柳州545005,广西工学院土建系!柳州545005,茂名市城建设计院
年：1999
期：04
出版单位：广西工学院学报

摘要

本文研究了一类多自由度非线性时变结构的振动模型，用ＦＰＫ法得出了体系的位移与速度响应的平稳联合概率密度函数的解析解，提出了基于Ｐｏｓｓｉｏｎ假设的时变动力可靠性的一整套计算公式；作为例子，给出了任意非线性刚度的单自由度时变结构时变动力可靠性的解析解，并将其特例情况－Ｄｕｆｆｉｎｇ体系的动力响应和超越率结果与现有理论解作了比较；本文方法对结构维护与评估有广泛应用价值。
In this paper,the vibration model of a class of nonlinear time-varying structure of multi-degrees of freedom is studied,and the exact solution of stationary joint probability density function for the displacement and velocity response of system is deduced by Fokker-Plank method A complete set of calculating formula of time-varying dynamic reliability based on possion hypothesis is proposed;As an example,the exact solution of time-varying dynamic reliability for time-varying structure of single degree of freedom with arbitrary nonlinear rigidity is given The dynamic response and passage rate of Duffing system which is its special case are compared with the existed theoretical solutions;The method of this paper is of extensive applied value \ \

引文

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