[1]BENDSOE M P, KIKUCHI N. Generating Optimal Topologies in Structural Design Using a Homogenization Method[J]. Computer Methods in Applied Mechanics and Engineering,1988,71(2):197-224.
[2]BENDSOE M P. Optimal Shape Design as a Material Distribution Problem[J]. Structural Optimization,1989,1(4):193-202.
[3]BENDSOE M P, Sigmund O. Material Interpolation Schemes in Topology Optimization[J]. Archive of Applied Mechanics,1999,69(9/10):635-654.
[4]STOLPE M, SVANBERG K. An Alternative Interpolation Scheme for Minimum Compliance Topology Optimization[J]. Structural and Multidisciplinary Optimization,2001,22(2):116-124.
[5]罗震, 陈立平, 黄玉盈, 等. 连续体结构的拓扑优化设计[J]. 力学进展,2004,34(4):463-476.
LUO Zhen, CHEN Liping, HUANG Yuying, et al. Topological Optimization Design for Continuum Structures[J]. Advances in Mechanics,2004,34(4):463-476.
[6]杨陈, 郝志勇, 刘保林, 等. 变密度法在气缸体轻量化设计中的应用[J]. 浙江大学学报(工学版),2009,43(5):916-919.
YANG Chen, HAO Zhiyong, LIU Baolin, et al. Application of Variable Density Method to Light-weight Design of Cylinder Block[J]. Journal of Zhejiang University (Engineering Science),2009,43(5):916-919.
[7]朱剑峰, 林逸, 陈潇凯, 等. 汽车变速箱壳体结构拓扑优化设计[J]. 吉林大学学报(工学版),2013,43(3):584-589.
ZHU Jianfeng, LIN Yi, CHEN Xiaokai, et al. Structural Topology Optimization Based Design of Automotive Transmission Housing Structure[J]. Journal of Jilin University (Engineering and Technology Edition),2013,43(3):584-589.
[8]罗震, 陈立平, 钟毅芳. 基于凸规划方法的计算机辅助结构拓扑优化设计[J]. 计算机辅助设计与图形学学报,2005,17(4):774-781.
LUO Zhen, CHEN Liping, ZHONG Yifang. Computer-aided Topology Optimization Using Convex Programming Method[J]. Journal of Computer-aided Design and Computer Graphics,2005,17(4):774-781.
[9]HASHIN Z, SHTRIKMAN S. A Variational Approach to the Theory of the Elastic Behaviour of Multiphase Materials[J]. Journal of the Mechanics and Physics of Solids,1963,11(2):127-140.
[10]BECKERS M. Topology Optimization Using a Dual Method with Discrete Variables[J]. Structural Optimization,1999,17(1):14-24.
[11]JOG C S. A Dual Algorithm for the Topology Optimization of Non-linear Elastic Structures[J]. International Journal for Numerical Methods in Engineering,2009,77(4):502-517.
[12]SIGMUND O, PETERSSON J. Numerical Instabilities in Topology Optimization: a Survey on Procedures Dealing with Checkerboards, Mesh-dependencies and Local Minima[J]. Structural Optimization,1998,16(1):68-75.
[13]SIGMUND O. Morphology-based Black and White Filters for Topology Optimization[J]. Structural and Multidisciplinary Optimization,2007,33(4):401-424. |