基于Kriging改进响应面法的桥梁地震动力可靠度研究

鉴于桥梁结构对地震响应的非线性和复杂性等问题,提出了基于Kriging改进响应面法的桥梁结构地震动力可靠度分析方法。首先利用Kriging模型的优越模拟性能,将其作为响应面函数,并采取自适应策略加以改进,而后采取线性过滤器脉冲响应法对地震随机激励荷载进行了离散,并基于首次超越问题的定义建立了动力可靠度极限状态方程,最后对桥梁结构的地震可靠度问题进行了分析。计算分析结果表明:提出的基于Kriging模型的改进响应面法能有效完成桥梁地震动力可靠度的计算分析(包括结构参数随机性对桥梁动力可靠度的影响),且结果具有较高的准确性和高效性。

The bridge seismic reliability analysis based on the improved Kriging response surface method

Since nonlinearity and complexity problems existed in the seismic response of bridge structure, a improved Kriging-based response surface method for bridge dynamic reliability analysis was proposed. The Kriging model was treated as the response surface function by using its excellent modeling capabilities, and improved by self-adaption strategy. Then the impulse response of filter method was adopted as the discrete method for discretization of random seismic excitation, and the dynamic limit state function was established based on the definition of first excursion reliability problem. Finally the proposed method was utilized to analyze the bridge structural first excursion dynamic reliability problem under random seismic excitation. The calculation results show that: the proposed improved Kriging-based response surface method can effectively complete the bridge seismic reliability analysis(including the influence which induced by the randomness of structural parameters to the bridge seismic reliability), and the calculation results have high accuracy and efficiency.