【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。更多还原

【Abstract】 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.更多还原