框架结构的截面和形状两级优化  

TWO-LEVEL OPTIMIZATION FOR SECTION AND SHAPE OF FRAMED STRUCTURES

作　　者：隋允康[1] 张政[1] 杜家政[1] 

机构地区：[1]北京工业大学工程数值模拟中心,北京100124

出　　处：《工程力学》2009年第8期116-122,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(10472003);高校博士点基金项目(20060005010);汽车车身先进设计制造国家重点实验室开放基金项目(30715002)

摘　　要：为了更大限度的挖掘框架结构的潜力,同时考虑框架结构的截面优化和形状优化,采用分解优化的策略将两类变量分开处理,建立了框架结构的截面、形状两级优化模型。在截面层以截面惯性矩为设计变量,在应力和位移约束下追求结构质量的最小化;在节点层以节点坐标为设计变量,在结构质量约束下追求结构最大位移的最小化。截面优化和形状优化交替进行直至收敛,从而获得结构质量最小且结构刚度最大的最优设计。以MSC/Patran&Nastran软件为开发平台,完成了框架结构截面形状两级优化软件,并用算例检验其正确性和可行性。In order to enhance the performance of framed structures, the section and shape of frame structures are optimized at the same time. Using the technique of decomposition two caterogires of variables are separated. The two-level optimization method for the section and shape of framed structures is established. In the sectional level, with the sectional inertia as the design variable, the structural mass is minimized at the constraints of stress and displacement. In the nodal level, with the coordinates of nodes as design variables, the maximal structural displacement is minimized at the constraint of structural mass. The sectional optimization and shape optimization alternately execute until the satisfactory convergence is reached, Consequently the optimal design is obtained for the minimal mass and maximal rigidity. Using MSC/Patran＆Nastran software, the two-level optimization prodecure for section and shape of frame structures is implemented. The numerical examples show that the program and algorithm are reliable and feasible.

关 键 词：框架结构 截面优化 形状优化 分解优化 软件开发 

分 类 号：O342[理学—固体力学]