Random dynamic analysis of the thin-walled structure subjected to coupling loads from three fields is addressed in the frame of the finite element method. Based on the proposed dynamic finite element equation of the deterministic structure under thermal–structural–acoustic coupling, when the randomness of structural physical parameters, temperature load and fatigue test data is fully considered, the dynamic responses of random structure subjected to coupling loads from three fields are dealt with by random factor method. The numerical characteristic values of the random temperature field and that of random dynamic responses are then derived through the moment method of random variables. Subsequently, the dynamic reliability of the stochastic structure under three-field coupling is evaluated using residual strength model, dynamic stress-intensity interference theory and the cumulative damage equal principle. Finally, the results from the methodology proposed are compared with that from Monte-carlo method for a case of numerical example, along with an inspection of the impacts of random variables on dynamic analysis results.

中文翻译：

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热-结构-声耦合下随机薄壁结构的动力分析

在有限元方法的框架中解决了受到来自三个场的耦合载荷的薄壁结构的随机动力分析。基于所提出的热-结构-声耦合下确定性结构的动力有限元方程，在充分考虑结构物理参数、温度载荷和疲劳试验数据的随机性的情况下，随机结构在三个耦合载荷作用下的动力响应字段采用随机因子法处理。然后通过随机变量的矩方法推导出随机温度场和随机动力响应的数值特征值。随后，利用剩余强度模型对随机结构在三场耦合下的动力可靠性进行了评估，动态应力强度干涉理论和累积损伤相等原理。最后，将所提出的方法的结果与蒙特卡罗方法的结果进行了数值例子的比较，并检查了随机变量对动态分析结果的影响。