基于同伦优化设计的机械零件可靠性优化设计

Reliability Optimization Design of Mechanical Parts based on Homotopy Optimization Method

在机械零件的可靠性优化设计中,普遍存在约束的作用。现有的可靠性优化设计一般采用普通优化方法,求得的解为局部最优解。针对这一状况,本文提出了以一种同伦优化方法(HOM),克服了现有同伦方法跟踪同伦的不足,该方法不需要多次跟踪同伦路径,可求出全局优化解。实例计算表明,采用该方法求得的解比现有优化方法求得的解更好,且这一方法简单,值得推广应用。

Generally, action of constraints exists in reliability optimization design of mechanical parts. Usually, general optimum methods are adopted in reliability optimization design, so the local solution is obtained. Aimed at this situation, a new global optimum method, namely, homotopy optimization method (HOM), was first introduced. The HOM method overcomes the defect of existing homptopy optimization method that wants to take path-tracing, and, the new HOM method can find global optimization solution without necessarily multi-time path-tracing. The result shows the model is practical and effective and its solution is global solution better than the result with general optimum method. As the method is simple, it is worthy to spread in optimum design.