参考文献/References:
[1] MICHELL A G M. The limits of economy of material in frame structure[J]. Philosophical Magazine, 1904, 8(6): 589-597.
[2] LEWINSKI T,ZHOU M,ROZVANY G I N.Extended exact solutions for least-weight truss layouts(Part I): Cantilever with a horizontal axis of symmetry[J].International Journal of Mechanical Sciences,1994,36(5):375-398.
[3] ESCHENAUER H A,OLHOFF N.Topology optimization of continuum structures: A review[J].Applied Mechanics Reviews,2001,54(4):331-389.
[4] ROZVANY G I N.Exact analytical solutions for some popular benchmark problems in topology optimization[J].Structural Optimization,1998,15(1):42-48.
[5] ROZVANY G I N,BENDSOE M P.KIRSCH U.Layout optimization of structures[J].Applied Mechanics Reviews,1995,48(2):41-119.
[6] 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.
[7] XIE Yin-min,STEVEN G P.A simple evolutionary procedure for structures optimization[J].Computers and Structures,1993,49(5):885-896.
[8] 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.
[9] HORNLEIN H R E M,KOCVARA M,WERNER R.Material optimization:bridging the gap between conceptual and preliminary design[J].Aerospace Science and Technology,2001,5(8):541-554.
[10] HSU Y,SHO M,CHEN Chuan-tang.Interpreting results from topology optimization using density contours[J].Computers and Structures,2001,79(10):1049-1058.
[11] 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.
[12] ZHOU Ke-min,LI Xia.Topology optimization for minimum compliance using fiber-reinforced composite material model[J].Structural Optimization,2006,37(1):49-56.
[13] ZHOU Ke-min,LI Jun-feng.Topology optimization of structures under multiple load cases using fiber-reinforced composite[J].Structural Optimization,2008,38(5):525-532.
[14] PRAGER W.A note on discretized Michell structures[J].Computer Methods in Applied Mechanics and Engineering,1974,3(3):349-355.
[15] ZHOU Ke-min,LI Jun-feng.The exact weight of discretized Michell trusses for a central point load[J].Structural Optimization,2004,28(1):69-72.
相似文献/References:
[1]乔升访,胡杰云,周克民.采用类桁架优化方法研究大跨桥梁的构形[J].华侨大学学报(自然科学版),2016,37(4):431.[doi:10.11830/ISSN.1000-5013.201604008]
QIAO Shengfang,HU Jieyun,ZHOU Kemin.Structural Topology Optimization of Configuration in Long-Span Bridge Based on Truss-Like Material Model[J].Journal of Huaqiao University(Natural Science),2016,37(4):431.[doi:10.11830/ISSN.1000-5013.201604008]
[2]邓援超,周杨,刘艺,等.折叠电动车主折叠机架的轻量化设计[J].华侨大学学报(自然科学版),2018,39(4):496.[doi:10.11830/ISSN.1000-5013.201711029]
DENG Yuanchao,ZHOU Yang,LIU Yi,et al.Lightweight Design of Main Folding Frame for Foldable Electric Vehicle[J].Journal of Huaqiao University(Natural Science),2018,39(4):496.[doi:10.11830/ISSN.1000-5013.201711029]
[3]郑伟伟,周克民.应用类桁架模型的连续体拓扑优化方法[J].华侨大学学报(自然科学版),2014,35(3):327.[doi:10.11830/ISSN.1000-5013.2014.03.0327]
ZHENG Wei-wei,ZHOU Ke-min.Continuum Topology Optimization Based on Truss-Like Model[J].Journal of Huaqiao University(Natural Science),2014,35(4):327.[doi:10.11830/ISSN.1000-5013.2014.03.0327]
[4]石顺义,郭新泽,周克民.结构拓扑优化数值方法研究进展[J].华侨大学学报(自然科学版),2024,45(2):150.[doi:10.11830/ISSN.1000-5013.202312025]
SHI Shunyi,GUO Xinze,ZHOU Kemin.Research Progress in Numerical Methods of Structural Topology Optimization[J].Journal of Huaqiao University(Natural Science),2024,45(4):150.[doi:10.11830/ISSN.1000-5013.202312025]