基于响应面的结构非概率可靠性优化设计  

Structural Optimization Design Based on Respond Surface Method and Non-Probabilistic Reliability

作　　者：陈江义[1] 文尉超 

机构地区：[1]郑州大学机械工程学院,河南郑州450001

出　　处：《机械设计与制造》2016年第11期23-25,29,共4页Machinery Design & Manufacture

基　　金：国家科技支撑计划(2015BAF06B06);河南省科技攻关重点项目(132102210107)

摘　　要：将结构系统中的不确定参数描述为区间变量,在基于区间模型的可靠性分析基础上,考虑到复杂结构的极限状态函数表达式往往很难直接求出,提出了基于响应面模型的非概率可靠性结构优化方法。该方法用二次多项式拟合结构的极限状态函数,通过区间模型计算出结构的非概率可靠度,并将其作为约束条件来对结构进行优化设计,应用嵌套优化模型解决此类优化问题。最后用该方法对25杆桁架结构进行了优化,结果表明提出的方法是正确可行的。A structural optimization method based on response surface model （RSM） and non-probabilistic reliability analysis is presented in this paper. By virtue of quadratic polynomial expansion the response surface model is constructed to replace approximately the limitation state function for complex structure and thus avoid the diffwult for obtaining the explicit mathematical expression of this function. In structural system the uncertain parameters are described as interval variables which are used to evaluate the non-probabilistic reliability and then establish constraint conditions in structural optimization problem. This problem can be solved by using double nested optimal strategy. As a numerical example, a twenty-five-bar truss structure is optimized for its minimum volume. The results show that the method presented here is correct and feasible.

关 键 词：结构优化 非概率可靠性 区间模型 响应面 

分 类 号：TH16[机械工程—机械制造及自动化] TB114.3[理学—概率论与数理统计]