Chinese Journal of Theoretical and Applied Mechanics ›› 2020, Vol. 52 ›› Issue (6): 18221837.DOI: 10.6052/0459187920188
• Biomechanics, Engineering and Interdiscipliary Mechanics • Previous Articles Next Articles
Tie Jun^{*}^{,}^{2)}(), Sui Yunkang^{†}^{,}^{3)}(), Peng Xirong^{**}^{,}^{4)}()
Received:
20200603
Accepted:
20200811
Online:
20201118
Published:
20200808
Contact:
Tie Jun,Sui Yunkang,Peng Xirong
CLC Number:
Tie Jun, Sui Yunkang, Peng Xirong. WIDENING AND DEEPENING OF RECIPROCAL PROGRAMMING AND ITS APPLICATION TO STRUCTURAL TOPOLOGY OPTIMIZATION ^{1)}[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(6): 18221837.
[1] 
Bendsoe MP, Kikuchi N. Generating optimal topologies in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering, 1988,71(2):197224
DOI URL 
[2] 
Mlejnek HP. Some aspects of the genesis of structures. Structural Optimization, 1992,5(12):6469
DOI URL 
[3]  Bendsoe MP, Sigmund O. Topology Optimization: Theory, Methods and Applications. NewYork: SpringerBerlinHeidelberg, 2003 
[4]  隋允康. 建模$\cdot $变换$\cdot $优化: 结构综合方法新进展. 大连: 大连理工大学出版社, 1996 
( Sui Yunkang. Modeling, Transformation and Optimization  New Development of Structural Synthesis Method. Dalian: Dalian University of Technology Press, 1996 (in Chinese))  
[5]  隋允康, 叶红玲. 连续体结构拓扑优化的 ICM 方法. 北京: 科学出版社, 2013 
( Sui Yunkang., Ye Hongling. Continuum Topology Optimization ICM Method. Beijing: Science Press, 2013 (in Chinese))  
[6]  Sui YK, Peng XR. Modeling, Solving and Application for Topology Optimization of Continuum Structures, ICM Method Based on Step Function. Elsevier, 2018 
[7] 
Xie YM, Steven GP. A simple evolutionary procedure for structural Optimization. Computers and Structure, 1993,49(5):885896
DOI URL 
[8] 
Osher S, Sethian J. Fronts propagating with curvature dependent speedalgorithms based on hamiltonjacobi formulations. J Comput Phys, 1988,79(1):1249
DOI URL 
[9] 
Wei P, Li ZY, Li XP, et al. An 88line MATLAB code for the parameterized level set method based topology optimization using radial basis functions. Structural and Multidisciplinary Optimization, 2018,58(2):831849
DOI URL 
[10] 
Norato J, Bendsøe M, Haber R, et al. A topological derivative method for topology optimization. Structural and Multidisciplinary Optimization, 2007,33(45):375386
DOI URL 
[11]  Cai SY, Zhang WH. An adaptive bubble method for structural shape and topology optimization. Computer Methods in Applied Mechanics and Engineering, 2020,360:125 
[12] 
Bourdin B, Chambolle A. Designdependent loads in topology optimization. ESAIM: Control, Optimisation and Calculus of Variations, 2003,9(8):1948
DOI URL 
[13] 
Guo X, Zhang WS, Zhang J. Explicit structural topology optimization based on moving morphable components (MMC) with curved skeletons. Computer Methods in Applied Mechanics and Engineering, 2016,310(10):711748
DOI URL 
[14] 
Bourdin B, Chambolle A, Zhang WS, et al. A new threedimensional topology optimization method based on moving morphable components (MMCs). Computational Mechanics, 2017,59(4):647665
DOI URL 
[15] 
Zhang WH, Zhao LY, Gao T, et al. Topology optimization with closed Bsplines and Boolean operations. Computer Methods in Applied Mechanics and Engineering, 2017,315(3):652670
DOI URL 
[16]  Luo YJ, Bao JW. A materialfield seriesexpansion method for topology optimization of continuum structures. Computers and Structures, 2019,225. DOI: 10.1016/j.compstruc.2019.106122 
[17] 
Rozvany GIN. A critical review of established methods of structural topology optimization. Structural and Multidisciplinary Optimization, 2009,37(3):217237
DOI URL 
[18] 
Sigmund O, Maute K. Topology optimization approaches. Structural and Multidisciplinary Optimization, 2013,48(6):10311055
DOI URL 
[19]  Yi GL, Sui YK. Different effects of economic and structural performance indicators on model construction of structural topology optimization. Acta Mechanica Sinia, 2015,31(9):112 
[20]  彭细荣, 隋允康. 应该为结构拓扑优化的设计变量正名和处理方法顺言. 北京工业大学学报, 2016,42(12):2737 
( Peng Xirong, Sui Yunkang. Name correction for design variable of structural topology optimization and presentation of its corresponding treatment method. Journal of Beijing University of Techology, 2016,42(12):2737 (in Chinese))  
[21]  彭细荣, 隋允康. 对连续体结构拓扑优化合理模型的再探讨. 固体力学学报, 2016,37(1):111 
( Peng Xirong, Sui Yunkang. A further discussion on rational topology optimization models for continuum structures. Chinese Journal of Solid Mechanics, 2016,37(1):111 (in Chinese))  
[22] 
Fleury C. Structural weight optimization by dual methods of convex programming. International Journal for Numerical Methods in Engineering, 1979,14(2):17611783
DOI URL 
[23]  Fleury C. Primal and dual methods in structural optimization. Journal of the Structural Division, 1980,106(5):11171133 
[24] 
Fleury C, Braibant V. Structural optimization: A new dual method using mixed variables. International Journal for Numerical Methods in Engineering, 1986,23(3):409428
DOI URL 
[25]  黄红选, 韩继业. 数学规划. 北京: 清华大学出版社, 2006 
( Huang Hongxuan, Han Jiye. Mathematical Programming. Beijing: Tsinghua University Press, 2006 (in Chinese))  
[26]  隋允康, 彭细荣, 叶红玲 等. 互逆规划理论及其用于建立结构拓扑优化的合理模型. 力学学报, 2019,51(6):19401948 
( Sui Yunkang, Peng Xirong, Ye Hongling, et al. Reciprocal programming theory and its application to establish a reasonable model of structural topology optimization. Chinese Journal of Theoretical and Applied Mechanics, 2019,51(6):19401948 (in Chinese))  
[27]  隋允康, 于新. KS 函数与模函数法的统一. 大连理工大学学报, 1998,38(5):502505 
( Sui Yunkang, Yu Xing. Uniform of KS function and norm function. Journal of Dalian University of Technology, 1998,38(5):502505 (in Chinese))  
[28]  Jun T, Sui YK. Topology optimization using parabolic aggregation function with independentcontinuousmapping method. Mathematical Problems in Engineering, 2013,2013(3):118 
[29]  钱令希, 钟万勰, 程耿东 等. 工程结构优化设计的一个新途径——序列二次规划 SQP. 计算结构力学及其应用, 1984,1(1):720 
( Qian Lingxi, Zhong Wanxie, Cheng Gendong, et al. An approach to structural optimizationsequential quadratic programming, SQP. Computational Structural Mechanics and Applications, 1984,1(1):720 (in Chinese))  
[30]  隋允康, 彭细荣. 求解一类可分离凸规划的对偶显式模型 DPEM 方法. 力学学报, 2017,49(5):11351144 
( Sui Yunkang, Peng Xirong. A dual explicit model based DPEM method for solving a class of separable convex programming. Chinese Journal of Theoretical and Applied Mechanics, 2017,49(5):11351144 (in Chinese))  
[31] 
Sui YK, Peng XR. Explicit model of dual programming and solving method for a class of separable convex programming problems. Engineering Optimization, 2019,51(79):16041625
DOI URL 
[1]  Sui Yunkang, Peng Xirong, Ye Hongling, Tie Jun. RECIPROCAL PROGRAMMING THEORY AND ITS APPLICATION TO ESTABLISH A REASONABLE MODEL OF STRUCTURAL TOPOLOGY OPTIMIZATION ^{1)} [J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(6): 19401948. 
[2]  Peng Xirong, Sui Yunkang. ICM METHOD FOR FAILSAFE TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES [J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(3): 611621. 
[3]  Wang Xuan, Liu Hongliang, Long Kai, Yang Dixiong, Hu Ping. STRESSCONSTRAINED TOPOLOGY OPTIMIZATION BASED ON IMPROVED BIDIRECTIONAL EVOLUTIONARY OPTIMIZATION METHOD [J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(2): 385394. 
[4]  Sui Yunkang, Peng Xirong. A DUAL EXPLICIT MODEL BASED DPEM METHOD FOR SOLVING A CLASS OF SEPARABLE CONVEX PROGRAMMING [J]. Chinese Journal of Theoretical and Applied Mechani, 2017, 49(5): 11351144. 
[5]  Ye Hongling, Shen Jingxian, Sui Yunkang. DYNAMIC TOLOGICAL OPTIMAL DESIGN OF THREEDIMENSIONAL CONTINUUM STRUCTURES WITH FREQUENCIES CONSTRAINTS [J]. Chinese Journal of Theoretical and Applied Mechani, 2012, 44(6): 10371045. 
[6]  Sui Yunkang Xuan Donghai Shang Zhen. ICM method with high accuracy approximation for topology optimization of continuum structures [J]. Chinese Journal of Theoretical and Applied Mechani, 2011, 43(4): 716725. 
[7]  Jianhua Rong Sen Ge Guo Deng Xiaojuan Xing Zhijun Zhao. Structural topological optimization based on displacement and stress sensitivity analyses [J]. Chinese Journal of Theoretical and Applied Mechani, 2009, 41(4): 518529. 
[8]  Jianhua Rong Xiaojuan Xing Guo Deng. A structural topological optimization method with variable displacement constraint limits [J]. Chinese Journal of Theoretical and Applied Mechani, 2009, 41(3): 431439. 
[9]  ,,. Topological optimization of continuum structure under the strategy of globalization of stress constraints [J]. Chinese Journal of Theoretical and Applied Mechani, 2006, 38(3): 364370. 
Viewed  
Full text 


Abstract 

