摘要
建议了一类新的复合随机振动系统动力可靠度分析方法。基于复合随机振动系统反应分析的密度演化方法,根据首次超越破坏准则,对密度演化方程施加相应的边界条件,进而求解密度演化方程,在安全域内积分给出结构的动力可靠度。结合精细时程积分方法与具有TVD性质的差分格式,研究了基于密度演化方法求解结构动力可靠度问题的数值方法。以受到随机地震作用、具有随机参数的八层层间剪切型结构为例,进行了结构动力可靠度分析并与随机模拟结果进行了比较。研究表明,建议的方法具有较高的精度和效率。
A new dynamic reliability assessment method for double random vibration systems is proposed, in which the randomness involved in the structural parameters and excitation is taken into account. Through the probability density evolution method, the instantaneous probability density function of response of double random vibration systems is numerically obtained. Based on this method, an absorbing boundary condition, according to the first passage criterion, is imposed on the governing probability density evolution equation. The integration of the probability density function, which is obtained from the initial-boundary-value partial differential equation over the safe domain, will then give the dynamic reliability. A numerical algorithm is studied by combining the precise time integration and the finite difference method with TVD schemes. An 8-story frame with random parameters under random earthquake excitation is investigated to assess the dynamic reliability. The results are compared with those obtained by the Monte Carlo simulation. It is shown that the proposed method is of high accuracy and efficiency.
出处
《工程力学》
EI
CSCD
北大核心
2005年第3期52-57,共6页
Engineering Mechanics
基金
国家杰出青年科学基金(59825105)
国家创新研究群体科学基金(50321803)资助项目
关键词
复合随机振动
动力可靠度
密度演化方法
精细时程积分
TVD差分格式
随机模拟
Boundary value problems
Earthquakes
Initial value problems
Integration
Monte Carlo methods
Partial differential equations
Probability density function
Random processes
Reliability
Structural frames
