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A Study on Safety Assessment of Cable-Stayed Bridges Based on Stochastic Finite Element Analysis and Reliability Analysis

机译:基于随机有限元分析和可靠性分析的斜拉桥安全评估研究

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摘要

It is more reasonable to evaluate the effect of uncertainty included in actual structures using the reliability assessment method. However, using the reliability assessment method to evaluate complicated structures, such as cable-stayed bridges whose limit state function is given as a nonlinear function, was very difficult. Therefore, in this study the structural response characteristics are investigated quantitatively using Stochastic Finite Element Analysis (SFEA) according to the external uncertainty of random variables included in cable-stayed bridges, and Reliability Analysis (RA) considering external uncertainty is performed more efficiently using the result of SFEA. For this approach, after performing the initial shape analysis of the cable-stayed bridge, improved Stochastic Finite Element Method Program (SFEMP) is developed for executing nonlinear SFEA by considering correlation of random variables. The feasibility of the developed program was investigated by comparing the analysis results of beam-cable structures with those of the verified program using Direct Monte Carlo Simulation (DMCS). The effect of each random variable on the structural response was examined by performing sensitivity analysis. The safety index and failure probability according to the correlation was investigated by applying RA that considered the correlation of the major random variables. The critical percentile distribution of the RA result is re-evaluated quantitatively considering the effect of the internal uncertainty.
机译:使用可靠性评估方法评估实际结构中不确定性的影响更为合理。但是,使用可靠性评估方法来评估复杂的结构(例如,将极限状态函数作为非线性函数给出的斜拉桥)非常困难。因此,在这项研究中,根据斜拉桥所含随机变量的外部不确定性,使用随机有限元分析(SFEA)定量研究了结构响应特性,并考虑了使用外部不确定性的可靠性分析(RA),可以更有效地进行结构分析。 SFEA的结果。对于这种方法,在对斜拉桥进行初始形状分析之后,通过考虑随机变量的相关性,开发了改进的随机有限元方法程序(SFEMP)来执行非线性SFEA。通过将梁式电缆结构的分析结果与使用直接蒙特卡罗模拟(DMCS)的经过验证的程序的分析结果进行比较,研究了所开发程序的可行性。通过进行敏感性分析检查了每个随机变量对结构响应的影响。通过考虑主要随机变量的相关性的RA,研究了根据相关性的安全指数和失效概率。考虑到内部不确定性的影响,对RA结果的临界百分位数分布进行了重新评估。

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