基于ANSYS有限元法的简支梁力学计算与优化设计  

An ANSYS-Based Finite Element Calculation of Mechanics and Optimization Design for Simple-supported Beam

作　　者：吕凯[1] 张文辉[1,2] 

机构地区：[1]丽水学院工学院,浙江丽水323000 [2]哈尔滨工业大学航天学院,黑龙江哈尔滨150001

出　　处：《丽水学院学报》2014年第2期51-55,共5页Journal of Lishui University

基　　金：浙江省公益项目(2013C3110);浙江省教育厅科研项目(Y201330000)

摘　　要：以具有广泛工程意义的简支梁为对象,基于ANSYS进行了力学分析,并对目标参数进行了优化。基于理论算法建立力学及挠度方程,计算最大应力及最大挠度。基于ANSYS建立简支梁力学模型,通过有限元法得到最大应力与最大挠度值,分析2种结果的一致性。定义尺寸参数变量,设定应力及挠度上限,目标函数为材料最优,选择零阶方对简支梁进行了参数优化,通过25次迭代趋于收敛,材料比初始值减少37.5%,获得最佳效果。采用此方法对于简支梁具有重要工程价值。A Mechanical calculation for simple-supported beam based on ANSYS was carried out and the objective function is optimized. The mechanics equation and the degree of perturbation equation were established. The maximum stress and maximum deflection were calculated. The simple-supported beam mechanics model was established based on ANSYS, the calculation of maximum stress and maximum deflection were solved, and the consistency of two kinds of results was analyzed. The size variables, stress and deflection upper limit were defined, the objective function was the optimal material, and the zero order method was used for simple-supported beam. Through 25 iteration convergence, the results indicate the material is 37.5% less than the initial value and the best effects are achieved. The adopted method has important engineering value for simple-supported beam.

关 键 词：有限元 简支梁 ANSYS软件 优化设计 

分 类 号：TH164[机械工程—机械制造及自动化]