减振橡胶结构的概率-区间混合动态可靠度分析  

Dynamic reliability analysis of shock absorption rubber structure with probability-interval mixed uncertainty

作　　者：邹淋[1] 刘秀[1] 胡小玲[1] 李明[1] 罗文波[1] 

机构地区：[1]湘潭大学土木工程与力学学院411105湘潭

出　　处：《应用力学学报》2015年第2期197-204,349,共8页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(11172256);湖南省科技计划项目(2014TT2031);湖南省教育厅重点项目(13A098);清华大学汽车安全与节能国家重点实验室开放课题(KF14012)

摘　　要：针对减振橡胶结构的可靠度进行分析,改进了一种概率-区间混合动态可靠度分析模型,并给出了可靠度的简化计算方法。以循环载荷作用下的炭黑填充橡胶为例,首先考虑炭黑填充橡胶的粘滞特性推导了循环载荷作用下此橡胶圆柱体的温度场,采用过热失效准则构建出其极限状态方程,然后采用概率-区间混合模型描述结构不确定参数,同时考虑材料耐热性能的衰减,建立了橡胶结构动态可靠度分析模型,并将其化简为静态模型。通过高效序列迭代格式得到了橡胶结构可靠度上下界随时间增大而减小的时变规律以及可靠度指标随动态应变幅值增大而减小的变化规律。Reliability is an important indicator of structures safety evaluation. For shock absorption rubber, a model of probability-interval mixed dynamic reliability is modified, and a simplified reliability calculation method is presented. Firstly, the temperature field of a carbon-black filled rubber cylinder under cyclic loading is derived by taking into account the viscoelastic property of the material. Then, a thermal failure criterion, considering the reduction of the material heat resistance, is used to describe the limit state equation, and the uncertainty of the material parameters are given by the probability-interval mixed model. Finally, the dynamic limit state function is simplified into a time-independent one, an efficient scheme of sequential iteration is used to solve the two-layer nesting optimization and the upper and lower bound of the dynamic reliability for rubber cylinder is obtained. It is shown that the upper and lower bound of the reliability index decreases with time, furthermore, the reliability index decreases with the increase of dynamic strain amplitude.

关 键 词：橡胶结构 随机参数 区间不定性 动态可靠性 炭黑填充橡胶 

分 类 号：TU352.12[建筑科学—结构工程]