Optimal topology design using linear programming

Computers & Structures - Tập 52 - Trang 265-275 - 1994
R.J. Yang1, C.H. Chuang2
1CAE Department, Ford Research Laboratory, P.O. Box 2053, MD 2122, Dearborn, MI 48121, U.S.A.
2Modern Engineering, Ford Research Laboratory, P.O. Box 2053, MD 2122, Dearborn, MI 48121, U.S.A.

Tài liệu tham khảo

Bendsoe, 1988, Generating optimal topologies in structural design using a homogenization method, Comput. Meth. appl. Mech. Engng, 71, 197, 10.1016/0045-7825(88)90086-2 Olhoff, 1991, On CAD-integrated structural topology and design optimization, Comput. Meth. appl. Mech. Engng, 89, 259, 10.1016/0045-7825(91)90044-7 Bendsoe, 1991, Integrated topology and boundary shape optimization of 2-D solids, Comput. Meth. appl. Mech. Engng, 87, 15, 10.1016/0045-7825(91)90144-U Diaz, 1992, Shape optimization of structures for multiple loading conditions using a homogenization method, Struct. Optimiz., 4, 17, 10.1007/BF01894077 Papalambros, 1992, Integrated structural optimization system, 501 Diaz, 1992, Solutions to shape and topology eigenvalue optimization problems using a homogenization method, Int. J. Numer. Meth. Engng, 35, 1478 Bendsoe, 1992 Z. D. Ma, N. Kikuchi, H. C. Cheng and I. Hagiwara, Topology and shape optimization technique for structural dynamic problems. AIAA J. (in press). Suzuki, 1991, Shape and layout optimization using homogenization method Chirehdast, 1992, In integrated optimization environment for structural configuration design Bendsoe, 1992, Topology and generalized layout optimization of elastic structures, 159 Sankaranarayanan, 1992, Truss topology optimization with simultaneous analysis and design Bendsoe, 1989, Optimal shape design as a material distribution problem, Struct. Optimiz., 1, 193, 10.1007/BF01650949 Zhou, 1991, The COC algorithm, Part II: Topological, geometrical and generalized shape optimization, Comput. Meth. appl. Mech. Engng, 89, 309, 10.1016/0045-7825(91)90046-9 Choi, 1987, Implementation of design sensitivity analysis with existing finite element codes, J. Median. Transmiss. Automat. Des., 109, 385, 10.1115/1.3258807 Yang, 1987, A modular approach for three-dimensional shape optimization, AIAA J., 25, 492, 10.2514/3.9650 Yang, 1989, A three-dimensional shape optimization system—SHOP3D, Comput. Struct., 31, 881, 10.1016/0045-7949(89)90273-3 Vanderplaats, 1973, CONMIN—A Fortran program for constrained function minimization user's manual Huang, 1986 Yang, 1989, Shape design sensitivity analysis with frequency response, Comput. Struct., 33, 1089, 10.1016/0045-7949(89)90445-8 Bremicker, 1991, Integrated topology and shape optimization in structural design, Mech. Struct. Mach., 19, 551, 10.1080/08905459108905156 1991 M. Chirehdast, Personal communication (1992). Prager, 1968, Problems of optimal structural design, J. appl. Mech, 35, 102, 10.1115/1.3601120 Hemp, 1973 M. P. Bendsoe, Personal communication (1992).