机械传动系统可靠性设计模型(Ⅲ)——以单级圆柱齿轮减速器为例

在建立了机械传动系统可靠性设计模型后,介绍了相关变量的处理方法·在此基础上以单级圆柱齿轮减速器为例,考虑影响减速器工作的各种随机因素,进行可靠性优化设计·以变量独立变换理论为基础建立可靠性设计的目标函数,通过独立变换,把各个零件间相关的强度转化为相互独立的变量,保证了计算的正确性和准确性;再确定各种约束条件,采用外点罚函数法求解·利用外点罚函数法不限制初始点的优点,通过优化得到很好的结果·最后,通过蒙特卡罗法验证本方法的可靠性和准确性,可知本方法与蒙特卡罗法的结果大致接近·

Reliability Model of Mechanical Transmission System (Ⅲ)--Reliability Optimization Using Single Gear Reducer

Setting up a reliability design model for mechanical transmission system and describing the treatment of correlated variables, a single cylindrical gear reducer was exemplified to illustrate the design of reliability optimization with all of random influencing factors on reducer's operation taken into account. The objective function of reliability design was derived taking variables independent transformation as theoretic basis by which the correlated intensities among individual parts can all be transformed into independent variables from each other, thus making sure the correctness and exactness in calculation. With various constraint conditions defined, a solution was obtained using the penalty function for exterior points to have the advantage of unlimited initial points. Thus, a better result came true through optimization. Finally, the reliability and exactness of this approach was verified by Monte Carlo method and the result showed the similarity between them.