梯度法收敛准则在机械优化设计中的应用分析

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Convergence criteria is an important component in mechanical optimization design because it will be directly effect the result of optimization design.In this paper,the relationship is deduced and the numerical computation is implemented in gradient method by convergence criteria-the sufficiently small distance of adjacent design point and small gradient of iterative objection function respectively.The good result of optimization design can be obtained by using convergence criteria not sufficiently small distance of adjacent design point but small gradient of iterative objection function.收敛准则是机械优化设计中的关键因素,其选用将直接影响着优化设计的结果。本文对梯度法采用相邻设计点的距离充分小的收敛准则和迭代点目标函数梯度足够小的收敛准则之间的关系进行推导,分别应用两种收敛准则对梯度法进行实例计算比较,发现采用目标函数梯度足够小的收敛准则可以提高优化设计结果的精度。