多高层建筑结构层间位移和层剪力的动力可靠度计算

Dynamic Reliability Calculation of Interstorey Drift and Storey Shearing Force for Multi-storey and High Building Structures

在虚拟激励法的基础上推导了多高层建筑结构剪切层模型在地震作用下层间相对位移和层地震剪力的自功率谱密度函数的解析表达,通过数值积分获得层间相对位移和层地震剪力的各阶谱矩和标准差,基于随机动力响应过程跨越安全界限次数为泊松过程和两态马尔可夫过程的假设,计算了层间相对位移和层地震剪力的动力可靠度,并用Matlab语言编制了动力可靠度的计算程序。算例表明该方法是高效的和有效的。

The auto-PSD function analytic solutions of interstorey drift and storey shearing force of multi-storey and high building structural storey model are derived on the basis of pseudo-excitation algorithm.The auto-PSD function moments and standard deviation of interstorey drift and storey shearing force are calculated by numerical integral method.Supposed that the number of random dynamic response passing safe limitation is poison process or two states Markov process,the dynamic reliabilities of interstorey drift and storey shearing force are achieved by the computation program made with the Matlab language. The numerical results indicate that the approach is efficient and effective.