Du Jianbin, Olhoff N. Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps[J]. Structural and Multidisciplinary Optimization, 2007, 34(2): 91―110.
[2]
Bruggi M, Taliercio A. Maximization of the fundamental eigenfrequency of micropolar solids through topology optimization[J]. Structural and Multidisciplinary Optimization, 2012, 46(4): 549―560.
[3]
刘晓峰, 阎军, 程耿东. 采用自动分组遗传算法的频率约束下桁架拓扑优化[J]. 计算力学学报, 2011, 28(1): 1―7. Liu Xiaofeng, Yan Jun, Cheng Gengdong. Topology optimization of skeletal structures with frequency constraints based on automatic grouping genetic algorithm[J]. Chinese Journal of Computational, 2011, 28(1): 1―7. (in Chinese)
[4]
邱海, 隋允康, 叶红玲. 频率约束板结构拓扑优化[J]. 固体力学学报, 2012, 33(2): 189―198. Qiu Hai, Sui Yunkang, Ye Hongling. Topological optimization of the plate structure subjected to the frequency constraints[J]. Acta Mechanica Solida Sinica, 2012, 33(2): 189―198. (in Chinese)
[5]
Ma Z D, Kikuchi N, Hagiwara I. Structural topology and shape optimization for a frequency response problem[J]. Computational Mechanics, 1993, 13(3): 157―174.
[6]
Allahdadian S, Boroomand B, Barekatein A R. Towards optimal design of bracing system of multi-story structures under harmonic base excitation through a topology optimization scheme[J]. Finite Elements in Analysis and Design, 2012, 61(11): 60―74.
[7]
Kang Z, Zhang X, Jiang S, et al. On topology optimization of damping layer in shell structures under harmonic excitations[J]. Structural and Multidisciplinary Optimization, 2012, 46(1): 51―67.
[8]
Rong J H, Xie Y M,Yang X Y, et al. Topology optimization of structures under dynamic response constraints[J]. Journal of Sound and Vibration, 2000, 234(2): 177―189.
[9]
张桥, 张卫红, 朱继宏. 动力响应约束下的结构拓扑优化设计[J]. 机械工程学报, 2010, 46(15): 45―51. Zhang Qiao, Zhang Weihong, Zhu Jihong. Topology optimization of structures under dynamic response constraints[J]. Journal of Mechanical Engineering, 2010, 46(15): 45―51. (in Chinese)
[10]
Motamarri P, Ramani A, Kaushik A. Structural topology synthesis with dynamics and nonlinearities using equivalent linear systems[J]. Structural and Multidisciplinary Optimization, 2012, 45(4): 545―558.
[11]
程耿东, 顾元宪, 王健. 我国机械优化研究与应用的综述和展望[J]. 机械强度, 1995, 17(2): 68―74. Cheng Gengdong, Gu Yuanxian, Wang Jian. A prospective review on research and application of optimal design of mechanical systems in china[J]. Journal of Mechanical Strength, 1995, 17(2): 68―74. (in Chinese)
[12]
郭旭, 顾元宪, 赵康. 广义变分原理的结构形状优化伴随法灵敏度分析[J]. 力学学报, 2004, 36(3): 288―295. Guo Xu, Gu Yuanxian, Zhao Kang. A new topology description function based approach for structural topology optimization[J]. Acta Mechanica Sinica, 2004, 36(3): 288―295. (in Chinese)
[13]
彭细荣, 隋允康. 动响应位移幅值敏度分析的伴随法[J]. 应用力学学报, 2008, 25(2): 247―252. Peng Xirong, Sui Yunkang. Chinese Sensitivity analysis for frequency response amplitude with adjoint method[J]. Journal of Applied Mechanics, 2008, 25(2): 247―252. (in Chinese)
[14]
Pedersen N L. Maximization of eigenvalues using topology optimization[J]. Structural and Multidisciplinary Optimization, 2000, 20(1): 2―11.
[15]
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.
[16]
Sigmund O, Maute K. Sensitivity filtering from a continuum mechanics perspective[J]. Structural and Multidisciplinary Optimization, 2012, 46(4): 471―475.
[17]
Guest J K, Prevost J H, Belytschko T. Achieving minimum length scale in topology optimization using nodal design variables and projection functions[J]. International Journal for Numerical Methods in Engineering, 2004, 61(2): 238―254.
[18]
隋允康. 建模·变换·优化—结构综合方法新进展[M]. 大连: 大连理工大学出版社, 1996: 177―195. Sui Yunkang. Modeling, tansformation and optimization: New developments of structural synthesis method[M]. Dalian: Dalian University of Technology Press, 1996: 177―195. (in Chinese)
[19]
隋允康, 叶红玲, 刘建信, 等. 追究根基的结构拓扑优化方法[J]. 工程力学, 2008, 25(增刊2): 7―19. Sui Yunkang, Ye Hongling, Liu Jianxin, et al. A structural topological optimization method based on exploring conceptual root[J]. Engineering Mechanics, 2008, 25(Suppl 2): 7―19. (in Chinese)
[20]
隋允康, 宣东海, 叶红玲, 铁军. 阶跃函数高精度逼近的结构拓扑优化方法[J]. 计算力学学报, 2010, 27(6): 959―967. Sui Yunkang, Xuan Donghai, Ye Hongling, Tie Jun. Structural topology optimization method using high accuracy approximation of the step function[J]. Chinese Journal of Computational Mechanics, 2010, 27(6): 959―967. (in Chinese)
[21]
张可村, 李换琴. 工程优化方法及其应用[M]. 西安: 西安交通大学出版社, 2007: 21―22. Zhang Kecun, Li Huanqin. Engineering optimization method and its application[M]. Xi’an: Xi’an Jiaotong University Press, 2007: 21―22. (in Chinese)