基于有限元分析的支架箱型截面几何参数优化

Geometric parameters optimization of box cross section structure in hydraulic powered support based on finite element analysis

依据材料力学和结构力学,分析得出在弯扭组合变形情况下支架箱型结构截面内板元上的应力分布:弯曲正应力和扭转剪应力主要出现在截面四周的板上,而中间筋板则主要承受弯曲剪应力;选定截面内6个主要几何尺寸为状态变量,以最大等效应力和质量作为目标函数建立箱型截面参数优化的数学模型;借助有限元分析软件Ansys Workbench中的DesignXplorer模块对其进行优化,确定截面参数的最优取值;依据计算结果分析参数敏感性及其最佳尺寸配比。基于有限元分析的几何参数优化在不增加质量的前提下改善了箱型结构的受力状况,为合理设计支架的详细结构提供了参考依据。

Accroding to material mechanics and structural mechanics,box cross section reaction under bending and twisting loads was studied and several laws were obtained：the bend normal stress and twist shear stress distribute in the plates locate on the edge of box-section structure,and the rib plates locate at middle of the section take on the bend shear stress.Next,six geometric parameters associated with section dimension were used as variables in a mathematic optimization model which takes the maximum equivalent stress and mass as optimal objects.The mathematic optimization model was solved by DesignXplorer—the optimization module of Ansys Workbench.Local sensitivities of parameters were shown by a chart to describe their effect on object functions.Parameters optimization of box cross section structure in hydraulic powered support based on finite element analysis improve the strength of box cross section parts without mass increasing and give great helps for detailed design of hydraulic powered support.