[1] |
Rossow H P,Taylor J E.A finite element method for the optimal design of variable thickness sheets[J].AIAA Journal,1973,11(11):1566-1569.
|
[2] |
Bends E M P,Kikuchi N.Generating optimal topologies in structural design using a homogenization method[J].Computer Method in Applied Mechanics and Engineering,1988,71(2):197-224.
|
[3] |
Mlejnek H P,Schirrmacher R.An engineer’s approach to optimal material distribution and shape finding[J].Computer Methods in Applied Mechanics and Engineering,1993,106(1/2):1-26.
|
[4] |
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.
|
[5] |
Osher S,Sethian J A.Fronts propagating with curvature dependent speed:algorithms based on Hamilton-Jacobi formulations[J].Journal of Computational Physics,1988,79(5):12-49.
|
[6] |
Xie Y M,Steven G P.Evolutionary structural optimization for dynamic problems[J].Computers & Structures,1996,58(6):1067-1073.
|
[7] |
谢亿民,杨晓英,Steven G P.渐进结构优化法的基本理论及应用[J].工程力学,1999,16(6):70-81. XIE Yimin,YANG Xiaoying,Steven G P.The theory and application of evolutionary structure optimization method[J].Engineering Mechanics,1999,16(6):70-81.(in Chinese)
|
[8] |
Querin O M,Steven G P,Xie Y M.Evolutionary structural optimization(ESO) using a bidirectional algorithm[J].Engineering Computations,1998,15(8):1031-1048.
|
[9] |
荣见华,姜节胜,胡德文,等.基于应力及其敏度的结构拓扑渐进优化方法[J].力学学报,2003,35(5):585-591. RONG Jianhua,JIANG Jiesheng,HU Dewen,et al.A structural topplogy evolutiona method based on stresses and their sensitivity[J].Acta Mechanic Sinica,2003,35(5):585-591.(in Chinese)
|
[10] |
RONG Jianhua.Bi-direction evolutionary optimization of structures with stress and diplacement constrains based on man-made material[M].Beijing:Science Press,2003:1094-1109.
|
[11] |
Huang X D,Xie Y M.Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials[J].Computational Mechanics,2009,43(3):393-401.
|
[12] |
Rozvany G I N,Zhou M,Birker T.Generalized shape optimization without homogenization[J].Structural Optimization,2000,20(6):2-11.
|
[13] |
刘书田,贺丹.基于SIMP插值模型的渐进结构拓扑优化方法[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 Mechanica,2009,26(6):761-777.(in Chinese)
|
[14] |
Zhou M,Rozvany G.On the validity of ESO type methods in topology optimization[J].Structural and Multidiscipliary Optimization,2001,21(1):80-83.
|
[15] |
刘超.涡轮盘结构拓扑与形状优化方法研究[D].南京:南京航空航天大学,2010. LIU Chao.Topology and shape optimization method for turbine disk[D].Nanjing:Nanjing University of Aeronauticas and Astronautics,2010.(in Chinese)
|
[16] |
Wadley H N G,Fleck N A,Evan A G.Fabrication and structural performance of periodic cellular metal sandwish structures[J].Computers & structures,2003,63(12):2331-2343.
|
[17] |
Sigmund O,Torquato S.Design of materials with extreme method[J].Journal of the Mechanics and Physics of Solids,1997,45(6):1037-1067.
|
[18] |
Zhang W,Sun S.Scal-raleted topology optimization of cellular materials and structures[J].International Journal for Numerical Methods in Engeering,2006,68(9):993-1011.
|
[19] |
Huang X,Xie Y M.Optimal design of periodic structures using evolutionary topology optimization[J].Struct Multidisc Optim,2008,36(5):597-606.
|
[20] |
Michell G M.The limits of economy of material in frame-structures[J].Philosophical Magazine:Series 6,1904,47(8):589-597.
|
[21] |
Querin O M.Evolutionary structural optimisation stress based formulation and implementation[D].Sydney:University of Sydney,1997.
|
[22] |
李伦未,陆山.基于ANSYS的多辐板风扇盘结构优化设计技术[J].航空动力学报,2011,10(26):2245-2250. LI Lunwei,LU Shan.Structure optimum design techniques for multi-web fan disk based on ANSYS[J].Journal of Aerospace Power,2011,10(26):2245-2250.(in Chinese)
|