基于边缘纤维屈服准则的薄板结构加强筋的优化设计法  

Optimal designing method for reinforced ribs of sheet metal structure based on yielding criterion of fringe fibre

作　　者：刘齐茂[1] 燕柳斌[2] 

机构地区：[1]广西工学院汽车工程系,广西柳州545006 [2]广西大学土木学院,广西南宁530004

出　　处：《机械设计》2007年第4期33-34,37,共3页Journal of Machine Design

基　　金：广西自然科学基金资助项目(桂科自0481007);广西工学院青年科学基金资助项目(500204)

摘　　要：提出一种基于边缘纤维屈服准则的薄板结构加强筋的优化设计法,在给定荷载及支撑的条件下,用壳单元模拟薄板壳,用梁单元模拟加强筋,并根据梁的边缘纤维屈服准则给出加强筋截面高度的修改公式,通过结构重分析不断修改梁单元的尺寸,使每个梁单元的边缘纤维达到屈服,满足迭代收敛准则后删除截面高度小于阈值的梁单元,获得薄板结构加强筋的新的分布形式并提高阈值。在加强筋的新的分布形式基础上进行下一轮优化设计。当阈值达到阈值上限时优化设计结束,从而获得最终的加强筋的分布形式及其截面尺寸。算例表明该方法简单有效,计算量小。A kind of optimal designing method for reinforced ribs of sheet metal structures based on yielding criterion of fringe fibre was put forward, under the conditions of given loading and support, using the shell unit to simulate sheet metal shell and using beam unit to simulate reinforced ribs. And in accordance with the yielding criterion of fringe fibre of beam the modification formula for sectional height of reinforced rib was presented. Dimensions of beam unit were unceasingly modified by means of repeated analysis on the structures to let the fringe fibre of every beam unit reaches the yield. Those beam units with there sectional height less than the threshold value were deleted after the iterative convergence criterion has been satisfied, thus obtained the new distribution forms for the reinforced ribs of sheet metal structure. The next round optimization design was carried out on the basis of the new distribution forms of reinforced ribs. While the threshold value reaches its upper limit the optimization design is finished, thus the final distribu- tion form and its sectional dimensions of the reinforced ribs were obtained. The computational example showed that this method was simple, effective and with less amount of calculation.

关 键 词：加强筋分布 拓扑优化设计 薄板结构 

分 类 号：O342[理学—固体力学]