Topology Optimization of 2D Continuum Using Nodal Design Variables
This paper presents a study on a topology optimization model for 2D continuum structure using nodal design variables.The minimum compliance problem with a constraint on the total material volume is considered.A 4-node hybrid stress element is used for the finite element analysis of heterogeneous 2D continuum.The use of such an element is important in that effects of non-uniform material distribution within an element can be appropriately modeled.The numerical results obtained show that the presented model suffers from none of the known abnormalities in the topology optimization, such as “checkerboard and “islanding, and therefore, no special numerical techniques like filtering are needed.Optimization results are presented for some test problems, illustrating the superiority of the method proposed in the paper.An attempt has also been made to address the issue of mesh dependency.
topology optimization nodal design variables hybrid stress element checkerboard pattern islanding mesh dependency
Xianqi Deng Peng Wei Haitao Ma
State Key Laboratory of Subtropical Building Science,School of Civil Engineering and Transportation,South China University of Technology,510641,Guangzhou,China
国际会议
黄山
英文
1-8
2012-06-18(万方平台首次上网日期,不代表论文的发表时间)