杆系结构非线性损伤随机演化分析

通过研究结构非线性构形状态转移过程考察结构非线性损伤随机演化的思路.建立了作为Markov链的非线性构形状态转移过程的转移速率与屈服应变风险率函数之间的关系.进而,通过力学分析与非线性构形状态的逻辑分析得到转移速率矩阵,从而将一个结构非线性损伤随机演化问题转化为一个非时齐Markov链的分析问题.以三杆桁架结构为例,给出了数值分析结果.

ANALYSIS OF STRUCTURAL NONLINEAR DAMAGE STOCHASTIC EVOLUTION

The structural nonlinear damage stochastic evolution is st udied through the investigation on transition processes of the structural nonlin ear configuration states (NCS). The relationship among the transition rates of the s tructural NCS evolution process, a Markov chain, and the hazard rates function o f the yielding strain is built up. The transition rates matrix is then establish ed by combining mechanical analysis of the structure and logic analysis of the N CS. Consequently, the problem of structural nonlinear damage stochastic evolutio n is transformed to a nonhomogeneous Markov chain. A three-bar truss is taken a s an example to illustrate the method and the numerical results are discussed.;