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基于任一时段内的结构时变可靠度可通过求解一等效的单个功能函数来获得的认识,提出了一种改进的时变可靠度计算方法。首先以简单的梁柱构件为例,分析了结构功能函数为非线性的原因。接着揭示了满足结构非线性极限状态方程的荷载解可能会存在着两个值的特殊现象。然后通过引入一假想的综合各抗力因素的变量来缩减响应面方程中的变量数目,使得响应面方程能简洁地表达出来。最后应用该思路对一承受全跨永久荷载和半跨可变荷载作用下的混凝土拱结构进行了分析,结果表明极限荷载曲线具有较高的非线性程度,且该方法具有较高的精度。
Based on the knowledge of time-dependent structural time-varying reliability obtained by solving an equivalent single function, an improved time-varying reliability calculation method is proposed. First of all, taking the simple beam-column member as an example, the reason why the structural function function is nonlinear is analyzed. Then it is revealed that there are two special values that may exist in the load solution that satisfies the nonlinear equation of state of the structure. Then by introducing an imaginary variable that combines all resistance factors to reduce the number of variables in the response surface equation, the response surface equation can be succinctly expressed. Finally, this idea is applied to analyze a concrete arch structure subjected to full-span permanent load and half-span variable load. The results show that the ultimate load curve has a high degree of nonlinearity and the method has high precision.