Optimal configuration design of structures using the binary enumeration technique

L.A. Schmit, Structural design by systematic synthesis, Proc. 2nd ASCE Electronic Computation Conf., vol. 1, 1960, 105–122. Schmit, 1963, Structural synthesis capability for integrally stiffened waffle plates,, AIAA, 1, 2820, 10.2514/3.2178 Kicher, 1968, Structural synthesis of integrally stiffened cylinders, J. Spacecraft Rockets, 5, 62, 10.2514/3.29186 Stroud, 1969, Minimum weight stiffened shells with slight meridinal curvature designed to support axial compressive loads, AIAA, 7, 1599, 10.2514/3.5438 O.C. Zienkiewicz, J.S. Campbell, Optimal Structure Design, Chapter 7, John Wiley, New York, 1973. Ramakrishnan, 1974, Structural shape optimization using penalty functions, J. Struct. Mech., 3, 403, 10.1080/03601217408907275 S.S. Bhavikatti, C.V. Ramakrishnan, optimum design of fillets in flat and round tension bars, ASME Design Eng. Tech. Conf., vol. 77-DET, T-45, 1977, pp. 103–125. Bhavikatti, 1980, Optimum shape design of rotating disks, Comput. Struct., 1080, 497 Bonnett, 1980, Structural shape optimization with geometric description and adaptive mesh refinement, AIAA, 23, 458, 10.2514/3.8935 Prager, 1974, A note on discretized Michell structures, Comput. Methods Appl. Mech. Eng., 3, 349, 10.1016/0045-7825(74)90019-X G.I.N. Rozvany, T.G. Ong, W.T. Szeto, N. Olhoff, M.P. Bendsøe, Least-weight design of perforated plates, Int. J. Solids Struct. 23 (1987) 521–536(Part I), 537–550(Part II). G.I.N. Rozvany, M. Zhou, The COC algorithm, Part I: Cross-section optimization or sizing, Part II: Topological, geometrical and generalized shape optimization, Comput. Methods Appl. Mech. Eng. 89 (1991) 281–336. R. Kohn, G. Strang, Optimal design and relaxation of variational problems, Comm. Pure Appl. Math. 39 (1986) 1-25(Part I), 139–182(Part II), 353–377(Part III). Bendsøe, 1988, Generating optimal topologies in structural design using a homogenization method,, Comput. Methods Appl. Mech. Eng., 71, 197, 10.1016/0045-7825(88)90086-2 Mlejnek, 1993, An engineer’s approach to optimal material distribution and shape finding, Comput. Methods Appl. Mech. Eng., 106, 1, 10.1016/0045-7825(93)90182-W Tenek, 1993, Static and vibrational shape and topology optimization using homogenization and mathematical programming, Comput. Methods Appl. Mech. Eng., 109, 143, 10.1016/0045-7825(93)90229-Q Tenek, 1993, Optimization for material distribution within isotropic and anisotropic plates using homogenization, Comput. Methods Appl. Mech. Eng., 109, 155, 10.1016/0045-7825(93)90230-U Jog, 1994, Topology design with optimized, self-adaptive material, Int. J. Num. Meth. Eng.,, 37, 1323, 10.1002/nme.1620370805 Anagnostou, 1992, A computational procedure for part design, Comput. Methods Appl. Mech. Eng., 97, 33, 10.1016/0045-7825(92)90106-T D.M. Russell, S. Manoochehri, A two dimensional rule-based shape synthesis method, Proc. ASME Design Automat Conf. DE-Vol.19-2, 1989, pp. 217–223. Mattheck, 1990, A new method of structural shape optimization based on biological growth, Int. H. Fatigue, 12, 185, 10.1016/0142-1123(90)90094-U Y.M. Xie, G.P. Steven, Optimal design of multiple load case structures using an evolutionary procedure, FEARC-9205, Finite Element Analysis Research Center, Univ. Sydney, Australia, 1992. Hinton, 1995, Fully stressed topological design of structures using an evolutionary procedure, Eng. Comput., 12, 229, 10.1108/02644409510799578 P. Shim, S. Manoochehri, A hybrid shape optimization method based on implicit differentiation and node removal technique, Proc. ASME Design Automation Conf., DE-Vol.65-2, 1993, pp. 595–603. M. Itou, T. Ohkouch, Effect of modeling for automatic design on lightweight structural shape, Proc. ASME Design Automation Conf., vol. 2, 1994, pp. 537–548. Shim, 1996, A shape optimization method based on implicit differentiation and node removal technique, J. Mech. Des., 118, 154, 10.1115/1.2826848 J.H. Holland, Adaptation in Natural and Artificial Systems, The University of Michigan Press, Ann Arbor, MI, 1975. D.E. Goldberg, Genetic algorithms in Search, Operation, and Machine Learning, Addison-Wesley, Reading, MA, 1989. Galante, 1996, Genetic algorithms as an approach to optimize real-world trusses, Int. J. Numer. Meth. in Eng., 39, 361, 10.1002/(SICI)1097-0207(19960215)39:3<361::AID-NME854>3.0.CO;2-1 Ohsaki, 1995, Genetic algorithm for topology optimization of trusses, Comput. Struct, 57, 219, 10.1016/0045-7949(94)00617-C Hajela, 1995, Genetic algorithms in truss topological optimization, Int. J. Solids Struct., 32, 3341, 10.1016/0020-7683(94)00306-H Metropolis, 1953, Equation of state calculations by fast computing machine, J. Chem. Phys., 21, 1087, 10.1063/1.1699114 S. Kirkpatrick, C.D. Gelatt, Jr., M.P. Vecchi, optimization by simulated annealing, Science 220 (4598) (1983) 671–680. Cerny, 1985, Thermodynamical approach to the traveling salesman problem: an efficient simulation algorithm, J. Optim. Theory Appl., 45, 44, 10.1007/BF00940812 P.J.M. van Laarhoven, E.H.L. Aarts, Simulated Annealing: Theory and Applications, Kluwer Academic Publishers, Dordrecht, 1988. Ball, 1991, Optimal steel frame design by simulated annealing, J. Struct. Eng., 117, 1780, 10.1061/(ASCE)0733-9445(1991)117:6(1780) Kuik, 1993, Linear programming, simulated annealing and tabu search heuristics for lotsizing in bottleneck assembly systems,, IIE Trans., 25, 62, 10.1080/07408179308964266 Barthelemy, 1988, Accuracy problems associated with semi-analytical derivatives of static response, Finite Elements Anal. Des., 4, 249, 10.1016/0168-874X(88)90011-X Haftka, 1990, Stiffness–matrix condition number and shape sensitivity errors, AIAA, 28, 1322, 10.2514/3.25216 Land, 1960, An automatic method for solving discrete programming problems, Econometrica, 28, 497, 10.2307/1910129 Balas, 1965, An additive algorithm for solving linear programs with zero-one variables, Oper. Res., 13, 517, 10.1287/opre.13.4.517 A.G. Holzman, Operations Research Support Methodology, vol. 2, Marcel Dekker, New York, 1979. M. Chirehdast, H.C. Gea, N. Kikuchi, Structural configuration examples of an integrated optimal design process, Proc. ASME Design Automation Conf., vol. 1, 1992, pp. 11–20.