基于响应面法的反击式破碎机板锤多目标优化

Multi-objective optimization of impact crusher hammers based on response surface methodology

为了提高破碎产品质量,有效防止板锤疲劳断裂,提出以减小反击式破碎机物料最小可碎粒径和板锤的最大变形为目标的板锤多目标优化设计方法。通过中心复合试验设计选取合适的有限元结构分析试验点,利用ANSYS有限元分析软件对试验点处的板锤最大变形、最大等效应力和质量进行计算分析,获取响应值。根据响应值初步建立反映结构设计输入与输出响应关系的二次响应面模型,并采用Kriging空间局部插值方法对响应面进行插值重构。利用Shifted Hamersley抽样技术,均匀抽取设计空间中的样本点,并进行权衡排序,获得较优良的初始种群。运用多目标遗传算法进行优化,获得Pareto优化解集。在保证板锤的质量、最大等效应力不大于初值的前提下,最大变形量减小5.28%,最小可碎粒径减小4.8%。结果表明,该方法具有较强的工程实用性。

A method of multi-objective optimization was proposed to improve the quality of crushed materials and protect hammers of impact crusher from fatigue failure.This method was driven by the minimum breakable size of the impact crusher and the maximum deformation.The Central Composite Design（CCD） experiment method was used to guide the selection of appropriate structure finite element analysis samples in design space.The quadratic polynomials were employed to construct response surface（RS） model based on the response outputs of these samples obtained by analyzing the maximum deformation,maximum equivalent stress and mass with the software ANSYS.The Kriging interpolation method was used for constructing the better robust surface.Well-distributed samples were generated in the design space by shifted Hamersley sampling method.The prominent points were selected by the weighing method as initial samples.The multi-objective genetic algorithm was used to obtain the Pareto optimal solution set.Through the optimization,the maximum deformation is decreased by 5.28% and the minimum breakable size of the impact crusher is decreased by 4.8%.At the same time,the hammer mass and the equivalent stress is not change.The results show the strong engineering practicability of the proposed method.