Xie Y M, Steven G P. Evolutionary structural optimization [M]. London: Springer, 1997: 1-188.
[2]
Young V, Querin O M, Steven G P. 3D and multiple load case bi-directional evolutionary structural optimization (BESO) [J]. Structural Optimization, 1999, 18(2): 183- 192.
[3]
Querin O M, Young V, Steven G P, et al. Computational efficiency and validation of bi-directional evolutionary structural optimization [J]. Computer Methods in Applied Mechanics and Engineering, 2000, 189(2): 559-573.
[4]
Li Q, Steven G P, Xie Y M. A simple checkerboard suppression algorithm for evolutionary [J]. Structural and Multidisciplinary Optimization, 2001, 22(3): 230-239.
[5]
Yang X Y, Xie Y M, Liu J S, et al. Perimeter control in the bidirectional evolutionary optimization method [J]. Structural and Multidisciplinary Optimization, 2003, 24(6): 430-440.
[6]
Matsui K, Terada K. Continuous approximation of material distribution for topology optimization [J]. International Journal for Numerical Methods in Engineering, 2004, 59(14): 1925-1944.
[7]
Rahmatalla S F, Swan C C. A Q4/Q4 continuum structural topology optimization implementation [J]. Structural and Multidisciplinary Optimization, 2004, 27(1): 130-135.
[8]
李震, 孙宝元, 钱敏, 等. 基于节点密度的柔性机构的 拓扑优化设计[J]. 计算力学学报, 2007, 24(2): 130- 134. Li Zhen, Sun Baoyuan, Qian Min, et al. Topology optimization design for compliant mechanisms based on nodal density [J]. Chinese Journal of Computational Mechanics, 2007, 24(2): 130-134. (in Chinese)
[9]
郭旭, 赵康. 基于拓扑描述函数的连续体结构拓扑优 化方法[J]. 力学学报, 2004, 36(5): 520-526. Guo Xu, Zhao Kang. A new topology description function based approach for structural topology optimization [J]. Acta Mechanica Sinica, 2004, 36(5): 520-526. (in Chinese)
[10]
龙凯, 左正兴. 连续体结构拓扑优化的节点独立连续 映射法[J]. 应用力学学报, 2009, 26(2): 212-217. Long Kai, Zuo Zhengxing. Node-based independent continuous mapping method for topological optimization of continuum structures [J]. Chinese Journal of Applied Mechanics, 2009, 26(2): 212-217. (in Chinese)
[11]
Long Kai, Zuo Zhengxing, Rehan H Zuberi. Study on parameters for topological variables field interpolated by moving least square approximation [J]. Acta Mechanica Solida Sinica, 2009, 22(2): 180-188.
[12]
龙凯, 左正兴. 物质点拓扑变量法在柔性机构设计中 的应用[J]. 计算机辅助设计与图形学学报, 2010, 22(1): 158-164. Long Kai, Zuo Zhengxing. Topology optimization for compliant mechanism using material point topological variable [J]. Journal of Computer-Aided Design & Computer Graphics, 2010, 22(1): 158-164. (in Chinese)
[13]
Almeida S R M, Paulino G H, Silva E C N. A simple and effective inverse projection scheme for void distribution control in topology optimization [J]. Structural and Multidisciplinary Optimization, 20, 39(4): 359-371.
[14]
Zhou M, Rozvany G I N. On the validity of ESO type methods in topology optimization [J]. Structural and Multidisciplinary Optimization, 2001, 21(1): 80-83.
[15]
Huang X, Xie Y M. A new look at ESO and BESO optimization methods [J]. Structural and Multidisciplinary Optimization, 2008, 35(1): 89-92.
[16]
Gozvany G I N. A critical review of established methods of structural topology optimization [J]. Structural and Multidisciplinary Optimization, 2009, 37(3): 217-237.
[17]
高彤, 张卫红, 朱继宏, 等. 循环对称结构静力学渐进 拓扑优化设计[J]. 机械工程学报, 2008, 44(3): 166- 172. Gao Tong, Zhang Weihong, Zhu Jihong, et al. Evolutionary static topology optimization of cyclic-symmetry structures [J]. Chinese Journal of Mechanical Engineering, 2008, 44(3): 166-172. (in Chinese)
[18]
刘书田, 贺丹. 渐进密度AESO 方法及其在热传导结 构拓扑优化中的应用[J]. 计算力学学报, 2009, 26(2): 151-156. Liu Shutian, He Dan. Progressive AESO algorithm and application in topology optimization of heat conduction structures [J]. Chinese Journal of Computational Mechanics, 2009, 26(2): 151-156. (in Chinese)
[19]
刘书田, 贺丹. 基于SIMP 插值模型的渐进结构优化 方法[J]. 计算力学学报, 2009, 26(6): 761-777. Liu Shutian, He Dan. SIMP-based evolutionary structural optimization method for topology optimization [J]. Chinese Journal of Computational Mechanics, 2009, 26(6): 761-777. (in Chinese)
[20]
Huang X, Xie Y M. Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method [J]. Finite Elements in Analysis and Design, 2007, 43(14): 1039-1049.
[21]
Huang X, Xie Y M. Bi-directional evolutionary topology optimization of continuum structures with one or multiple material [J]. Computational Mechanics, 2009, 43(3): 393-401.
[22]
Andereassen E, Clausen A, Schevenels M, et al. Efficient topology optimization in MATLAB using 88 lines of code [J]. Structural and Multidisciplinary Optimization, 2011, 43(1): 1-16.
[23]
Huang Xiaodong, Xie Yimin. A further review of ESO type methods for topology optimization [J]. Structural and Multidisciplinary Optimization, 2010, 41(5): 671- 683.
