基于自适应代理模型的结构动力可靠度分析方法

Structure Dynamic Reliability Analysis Method Based on Adaptive Surrogate Model

结构动力可靠度分析对于衡量结构的安全状态和工作性能具有重要的指导意义。采用一种同时考虑动态激励载荷和材料力学性能参数随机性的动力可靠度计算高效方法,通过建立不确定性材料力学性能参数与条件动力可靠度之间的Kriging代理模型,推导动力可靠度的解析表达式;提出一个新的学习函数来构建自适应的Kriging代理过程,通过复合材料飞行器蒙皮骨架结构在随机振动载荷和随机材料力学性能参数共同作用下的动力可靠度分析对所提方法的准确性与高效性进行验证。结果表明:所提方法不仅能够避免使用代理模型对动力可靠度求解时由于使用数值积分所引入的误差,同时能够使用尽可能少的计算成本获得准确的动力可靠度结果。

The structure dynamic reliability analysis is of great importance of measuring the structural safety state and operation characteristic.An efficient dynamic reliability analysis method which simultaneously consi-ders the uncertainties of dynamic excitation load and material properties parameters is adopted.The Kriging surrogate model between the uncertainty material property parameters and conditional dynamic reliability is constructed to deduce the analytical expression of the dynamic reliability.Simultaneously,a new learning function for constructing the adaptive Kriging surrogate is proposed,and its accuracy and efficiency are verified by dynamic reliability analysis of ceramic matrix composites aircraft skin frame structure under the random uncertainties of dynamic excitation load and material properties parameters.The results show that the proposed method for estimating the dynamic reliability can not only avoid the error caused by numerical integration with surrogate model,but also provide accurate solution of dynamic reliability by using the computational costs as little as possible.