A topology optimization method based on element independent nodal density

被引：0
作者：
Ji-jun Yi
Tao Zeng
Jian-hua Rong
Yan-mei Li
机构：
[1] Central South University,School of Mechanical and Electrical Engineering
[2] Changsha University of Science and Technology,School of Automobile and Mechanical Engineering
[3] Hunan Technical College of Water Resources and Hydro Power,undefined
来源：
Journal of Central South University | 2014年 / 21卷
关键词：
topology optimization; element independent nodal density; Shepard interpolation; parallel computation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A methodology for topology optimization based on element independent nodal density (EIND) is developed. Nodal densities are implemented as the design variables and interpolated onto element space to determine the density of any point with Shepard interpolation function. The influence of the diameter of interpolation is discussed which shows good robustness. The new approach is demonstrated on the minimum volume problem subjected to a displacement constraint. The rational approximation for material properties (RAMP) method and a dual programming optimization algorithm are used to penalize the intermediate density point to achieve nearly 0-1 solutions. Solutions are shown to meet stability, mesh dependence or non-checkerboard patterns of topology optimization without additional constraints. Finally, the computational efficiency is greatly improved by multithread parallel computing with OpenMP.
引用
收藏
页码：558 / 566
页数：8
相关论文
共 60 条
[1]  
Bendsøe E M P(1988)Generating optimal topologies in structural design using a homogenization method [J] Computer Methods in Applied Mechanics and Engineering 71 197-224
[2]  
Kikuchi N(1989)Optimal shape design as a material distribution problem [J] Structural and Multidisciplinary Optimization 1 193-202
[3]  
Bendsoe M P(2001)Aims scope methods history and unified terminology of computer-aided topology optimization in structural mechanics [J] Structural and Multidisciplinary Optimization 21 90-108
[4]  
Rozvany G N(1992)Generalized shape optimization without homogenization [J] Structural and Multidisciplinary Optimization 4 250-252
[5]  
Rozvany G(2012)Simp type topology optimization procedure considering uncertain load position [J] Civil Engineering 56 213-219
[6]  
Zhou M(2011)Connections between topological sensitivity analysis and material interpolation schemes in topology optimization [J] Structural and Multidisciplinar Optimization 43 755-765
[7]  
Birker T(1993)A simple evolutionary procedure for structural optimization [J] Computers & Structures 49 885-896
[8]  
L G J(2010)Evolutionary topological optimization of vibrating continuum structures for natural frequencies [J] Computers & Structures 88 357-364
[9]  
Amstutz S(2000)Structural boundary design via level set and immersed interface methods [J] Journal of Computational Physics 163 489-528
[10]  
Xie Y M(2008)A level set method for topology optimization of continuum structures with bounded design domains [J] Computer Methods in Applied Mechanics and Engineering 197 1447-1465
123456