Extended exact solutions for least-weight truss layouts—Part I: Cantilever with a horizontal axis of symmetry

International Journal of Mechanical Sciences - Tập 36 - Trang 375-398 - 1994
T. Lewiński1, M. Zhou1, G.I.N. Rozvany1
1FB 10, Essen University, Postfach 103764, D-45117 Essen, Germany

Tài liệu tham khảo

Allaire, 1994, Optimal design for minimum weight and compliance in plane stress using extremal microstructures, Eur. J. Mechanics A—Solids Bendsøe, 1994, The Michell truss problem as a low volume fraction limit of the perforated plate topology optimization problem: an asymptotic study, Struct. Optim., 6 Rozvany, 1987, Least-weight design of perforated elastic plates I, II, Int. J. Solids Struct., 23, 521, 10.1016/0020-7683(87)90015-1 Rozvany, 1987, Least-weight design of perforated elastic plates I, II, Int. J. Solids Struct., 23, 537, 10.1016/0020-7683(87)90016-3 Rozvany, 1990, Michell layouts for various combinations of line supports—I, Int. J. Mech. Sci., 32, 1021, 10.1016/0020-7403(90)90006-5 Zhou, 1991, The COC algorithm, Part II: topological, geometrical and generalized shape optimization, Comp. Meth. Appl. Mech. Engrg, 89, 309, 10.1016/0045-7825(91)90046-9 Chan, 1960, The design of Michell optimum structures, College of Aeronautics Report 142. Cranfield Chan, 1963, Optimum Michell frameworks for three parallel forces, College of Aeronautics Report 167. Cranfield Chan, 1967, Half-plane slip-line fields and Michell structures, Quart. J. Appl. Math., 20, 453, 10.1093/qjmam/20.4.453 Watson, 1966 Chan, 1975, Symmetric plane frameworks of least weight, 313 Michell, 1904, The limits of economy of material in frame structures, Phil. Mag., 8, 589, 10.1080/14786440409463229 Hegemier, 1969, On Michell trusses, Int. J. Mech. Sci., 11, 209, 10.1016/0020-7403(69)90006-X Hemp, 1973 Prager, 1967, A general theory of optimal plastic design, J. Appl. Mech., 34, 184, 10.1115/1.3607621 Rozvany, 1976 Prager, 1974 Prager, 1977, Optimal layouts of grillages, J. Struct. Mech., 5, 1, 10.1080/03601217708907301 Strang, 1983, Hencky-Prandtl nets and constrained Michell trusses, Comp. Meth. Appl. Mech. Engrg, 36, 207, 10.1016/0045-7825(83)90113-5 Rozvany, 1978, Optimal plastic design: superposition principles and bounds on the minimum cost, Comp. Meth. Appl. Mech. Engrg, 13, 151, 10.1016/0045-7825(78)90055-5 Hill, 1950 Novozhilov, 1970 Chan, 1964, Tabulation of some layouts and virtual displacement fields in the theory of Michell optimum structures, College of Aeronautics Report 161. Cranfield Rozvany, 1989, Continuum-type optimality criteria methods for large structural systems with a displacement constraint. Part I, Struct. Optim., 1, 47, 10.1007/BF01743809 Rozvany, 1992, Generalized shape optimization without homogenization, Struct. Optim., 4, 250, 10.1007/BF01742754