结构地震可靠度的数值-模拟方法
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摘要
本文发展了一种数值-模拟方法,计算谱密度不确定非平稳地震荷载下的结构地震可靠度。在该方法中,首先由高斯积分给出了无条件结构地震可靠度的加权和计算公式,然后利用Monte Carlo模拟方法计算高斯点处的条件结构地震可靠度,最后得到无条件结构地震可靠度。文中计算了一个单自由度结构的地震可靠度,并与直接模拟结果进行了对比分析,分析表明,数值-模拟方法具有良好的精度和效率。
A numerical-simulation method is developed to calculate seismic reliabilities of structures subjected to non-stationary earthquake load with uncertain spectral density in this paper.First,the numerical solutions of the structural unconditional seismic reliability are given from Gauss's integration.Secondly,conditional seismic reliabilities in the numerical solutions at Gauss points are estimated by Monte Carlo simulations.Finally,the unconditional structural seismic reliabilities are calculated by combining the numerical solution and the obtained conditional reliabilities.Numerical results of a single-degree-of-freedom(SDOF) system are compared with that from the plain Monte Carlo simulation, which demonstrates the accuracy and efficiency of the numerical-simulation method.
引文
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