复合材料层合板终层失效概率分析的通用生成函数法

PROBABILITY ANALYSIS ON LAST PLY FAILURE OF COMPOSITE LAMINATES BASED ON UNIVERSAL GENERATING FUNCTION METHOD

采用通用生成函数方法分析复合材料层合板的可靠性。定义了载荷、强度参数通用生成函数和复合算子及相应的性能结构函数,分别构建了各单层板的抗力、抗力序列和系统抗力等通用生成函数。根据终层失效准则建立层合板的可靠性分析模型。在通用生成函数复合运算中,通过K-means聚类和同类项合并技术缩减计算量提高效率。该方法适用于含有众多随机变量(包含非正态随机变量)且功能函数为非线性的结构系统可靠性评估,并考虑了系统中各抗力序列之间因含有相同失效单元,以及抗力序列内部的失效单元共享同一随机载荷源而引起的失效相关性。针对该方法给出算例,可靠度计算值与蒙特卡罗法仿真结果接近。新方法可为复合材料层合板可靠性分析提供一种新思路。

The reliability of composite laminates is analyzed by universal generating function method.Load,strength parameters universal generating function,complex operators and the corresponding performance structure functions are defined,the resistance of the single layer,resistance sequences and system resistance universal generating function are constructed respectively.The reliability analysis model of laminates is established based on the last ply failure criterion.In the complex operation of universal generating function,K-means clustering and like terms collecting techniques are used to reduce computational costs and improve efficiency.This method is applicable to the reliability assessment of structural systems,in which there are many random variables(including non-normal random variables),the performance function is non-linear,and failure correlation between resistance sequences of laminates that contain common failure elements and failure elements within the resistance sequences due to sharing the same random load source is considered.Two examples are given.The reliability value is close to the Monte Carlo simulation results.The new method can provide a new idea for reliability analysis of composite laminates.