齿轮减速器的多目标可靠性优化设计  

Multi-objective Reliability-Based Design Optimization of Gear Reducer

作　　者：王志刚[1] 张均富[1] 王进戈[1] 

机构地区：[1]西华大学机械工程与自动化学院,成都610039

出　　处：《机械设计与研究》2011年第6期44-47,共4页Machine Design And Research

基　　金：四川省教育厅重点科研项目(No.09ZA117)

摘　　要：提出一种以可靠度为目标函数和约束条件的多目标齿轮减速器优化设计方法。将可靠性引入齿轮减速器的确定性优化,考虑可靠度为设计目标和设计约束,并将小齿轮齿数作为离散确定性设计变量,进而构造出具有离散变量的多目标可靠性优化设计模型。提出在分支界定算法中嵌套遗传算法构造该优化问题的求解算法。该算法利用分支界定算法的遍历性和遗传算法的全局性,以获得优化问题的全局性解。最后,分别给出齿轮减速器的连续变量确定性解和可靠性解、混合变量确定性解和可靠性解,用以验证方法的有效性。A multi-objective optimization of gear reducer is presented, in which the reliability is taken as objective and constraint. The reliability is introduced into the deterministic optimization model of gearing reducer and the number of teeth of the pinion is taken as discrete deterministic variable, then the multi - objective reliability optimization model with discrete variable is created. The computing method of mixed variablesoptimization is presented, in which the genetic algorithm is inserted in the branch and bound algorithm. This hybrid algorithm uses the ergodicity of the branch and bound algorithm and the global optimization ability of the genetic algorithm to solve the mixed variables optimization model. The solutions with continuous variables and mixed variables of both the deterministic model and the reliability model are given respectively. The results of numerical example show that the presented method is effective in solving the model of mixed variables probability optimization.

关 键 词：可靠性优化 齿轮减速器 分支界定算法 遗传算法 

分 类 号：TH132[机械工程—机械制造及自动化]