Shape Optimal System for Linear Elastic Structures  

线弹性结构形状优化系统

作　　者：邢杰[1] 蔡坪[1] 

机构地区：[1]北京理工大学车辆工程学院,北京100081

出　　处：《Journal of Beijing Institute of Technology》1992年第2期103-110,共8页北京理工大学学报（英文版）

摘　　要：An integrated system FSOP2D,including modules for the shape optimal modeling,structural analysis,sensitivity analysis,optimal method library and post- processing,is developed.By selecting fictitious loads as the design variables that has a linear relationship with the grid point locations and using design sensitivity analysis of the domain method,it is easier to solve the velocity field.In the course of optimal iterations,mesh distortion is kept to a minimum,sensitivity derivatives of object function,stress constraints and displacement constraints are derived.Computation of sensitivity analysis is achieved in the system.Two engineering examples are used to prove the system's effectiveness,the optimal results can successfully be obtained by lesser number of iterations.研制了包括二维形状优化建模、结构分析、敏度分析、优化方法库、后处理等功能的集成软件系统 FSOP2D.选择以虚拟载荷为设计变量,使得网格节点坐标与设计变量之间建立了线性关系,并使用区域方法的敏度分析,从而使得速度场求解容易.在优化迭代的过程中,可使网格畸变保持最小.推导了目标函数、应力和位移约束的敏度导数.在系统中实现了敏度分析计算,所编的软件对两个工程实例进行验算,经少量迭代就优化成功.

关 键 词：optimum design finite element analysis sensitivity/shape optimum design design variable 

分 类 号：TH122[机械工程—机械设计及理论]