[1] |
Michell A G M.The limits of economy of material in frame structure[J].Philosophical Magazine,1904,8(6):589—597. doi: 10.1080/14786440409463229
|
[2] |
Prager W, Rozvany G I N.Optimization of structural geometry[A].In:Bednarek A R, Cesari L,Eds.Dynamical Systems[C].New York: Academic Press, 1977, 265—293.
|
[3] |
Rozvany G I N.Structural Design via Optimality Criteria-The Prager Approach to Structural Optimization[M].Dordrecht: Kluwer Academic Publishers,1989,353—368.
|
[4] |
Rozvany G I N.Some shortcomings in Michell's truss theory[J].Structural Optimization,1997,13(2/3):203—204. doi: 10.1007/BF01199243
|
[5] |
Rozvany G I N.Partial relaxation of the orthogonality requirement for classical Michell trusses[J].Structural Optimization,1997,13(4):271—274. doi: 10.1007/BF01197457
|
[6] |
Rozvany G I N.Generalized Michell structures-exact least-weight truss layouts for combined stress and displacement constraints: Part Ⅰ——General theory for plane trusses[J].Structural Optimization, 1995,9(3):178—188. doi: 10.1007/BF01743967
|
[7] |
Rozvany G I N.Generalized Michell structures-exact least-weight truss layouts for combined stress and displacement constraints: Part Ⅱ——analytical solutions within a two-bar topology[J].Structural Optimization,1995,9(3):214—219. doi: 10.1007/BF01743973
|
[8] |
Hemp W S.Optimal Structure[M].Oxford: Clarendon Press, 1973, 70—101.
|
[9] |
Lewinski T, Zhou M, Rozvany G I N.Extended exact solutions for least-weight truss layouts—Paper Ⅰ: cantilever with a horizontal axis of symmetry[J].International Journal of Mechanical Sciences,1994,36(5):375—398. doi: 10.1016/0020-7403(94)90043-4
|
[10] |
Lewinski T, Zhou M, Rozvany G I N.Extended exact solutions for least-weight truss layouts—Paper Ⅱ:unsymmetric cantilevers[J].International Journal of Mechanical Sciences,1994,36(5):399—419. doi: 10.1016/0020-7403(94)90044-2
|
[11] |
CHENG Geng-dong,ZHENG Jiang.Study on topology optimization with stress constraints[J].Engineering Optimization,1992,20(2):129—148. doi: 10.1080/03052159208941276
|
[12] |
Rozvany G I N, Bendse M P,Kirsch U.Layout Optimization of Structures[J].Applied Mechanics Reviews,1995,48(2):41—119. doi: 10.1115/1.3005097
|
[13] |
Bendse 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. doi: 10.1016/0045-7825(88)90086-2
|
[14] |
SUI Yun-kang, YANG De-qing.A new method for structural topological optimization based on the concept of independent continuous variable and smooth model [J].Acta Mechanica Sinica,1998,18(2):179—185.
|
[15] |
Xie Y M, Steven G P.A simple evolutionary procedure for structural optimization[J].Computers and Structures,1993,49(5):885—896. doi: 10.1016/0045-7949(93)90035-C
|
[16] |
Guedes J M, Taylor J E.On the prediction of material properties and topology for optimal continuum structures[J].Structural Optimization,1997,14(3):193—199. doi: 10.1007/BF01812523
|
[17] |
Taylor J E.An energy model for optimal design of linear continuum structures[J].Structural Optimization,1998,16(2/3):116—127.
|
[18] |
Rodrigues H, Soto C, Taylor J E.A design model to predict optimal two-material composite structure[J].Structural Optimization,1999,17(2):186—198.
|
[19] |
Hrnlein 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. doi: 10.1016/S1270-9638(01)01125-7
|
[20] |
Eschenauer H A, Olhoff N.Topology optimization of continuum structures: A review[J].Applied Mechanics Reviews,2001,54(4):331—389. doi: 10.1115/1.1388075
|
[21] |
Rozvany G I N, Bendse M P, Kirsch U.Layout Optimization of structures[J].Applied Mechanics Reviews,1995,48(2):41—119. doi: 10.1115/1.3005097
|
[22] |
周克民.利用有限元构造Michell桁架的一种方法[J].力学学报,2002,34(6):935—940.
|
[23] |
Cox H L.The Design of Structures of Least Weight[M].Oxford: Pergamon Press,1965,80—114.
|