Evolutionary structural optimization for problems with stiffness constraints

Finite Elements in Analysis and Design

Volumn 21, Issue 4, 1996, Pages 239-251

  Nha Chu, D ^a   Xie, Y M ^a   Hira, A ^a   Steven, G P ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EVOLUTIONARY STRUCTURAL OPTIMIZATION; STIFFNESS CONSTRAINTS;

FINITE ELEMENT METHOD; OPTIMIZATION; PROBLEM SOLVING; STIFFNESS; STRUCTURAL LOADS;

STRUCTURAL ANALYSIS;

EID: 0030125131     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0168-874X(95)00043-S     Document Type: Article

References (17)

1. M.P. Bendsøe and N. Kikuchi, "Generating optimal topologies in structural design using a homogenization method", Comput. Methods Appl. Mech. Eng. 71, pp. 197-224, 1988.
2. M.P. Bendsøe, "Optimal shape design as a material distribution problem", Struct. Optim. 1, pp. 193-202, 1989.
3. K. Suzuki and N. Kikuchi, "A homogenization method for shape and topology optimization", Comput. Methods Appl. Mech. Eng. 93, pp. 291-318, 1991.
4. A.R. Diaz and M.P. Bendsøe, "Shape optimization of structures for multiple loading conditions using a homogenization method", Struct. Optim. 4, pp. 17-22, 1992.
5. Y.M. Xie and G.P. Steven, "A simple evolutionary procedure for structural optimization", Comput. Struct. 49, pp. 885-896, 1993.
6. Y.M. Xie and G.P. Steven, "Optimal design of multiple load case structures using an evolutionary procedure", Eng. Computations 11, pp. 295-302, 1994.
7. Y.M. Xie and G.P. Steven, "A simple approach to structural frequency optimization", Comput. Struct. 53, pp. 1487-1491, 1994.
8. G. Maier, "Limit design in the absence of a given layout: a finite element, zero-one programming problem", in: R.H. Gallagher and O.C. Zienkiewicz (eds.), Optimum Structural Design: Theory and Applications, Wiley, London, pp. 223-239, 1973.
9. J. Rodriguez-Velazquez and A.A. Seireg, "Optimizing the shapes of structures via a rule-based computer program", Comput. Mech. Eng. 4, pp. 20-28, 1985.
10. E. Atrek, "SHAPE: A program for shape optimization of continuum structures", in: C. A. Brebbia and S. Hernandez (eds.), Computer Aided Optimum Design of Structures: Applications, Computational Mechanics Publications, Southampton, pp. 135-144, 1989.
11. A.G.M. Michell, "The limits of economy of material in frame-structures", Phil. Mag. 8, pp. 589-597, 1904.
12. N. Olhoff, M.P. Bendsøe and J. Rasmussen, "On CAD-integrated structural topology and design optimization", Comput. Methods Appl. Mech. Eng. 89, pp. 259-279, 1991.
13. G.I.N. Rozvany and M. Zhou, "Applications of the COC method in layout optimization", in: H. Eschenauer, C. Matteck and N. Olhoff (eds.), Proc. Int. Conf. Engineering Optimization in Design Processes (Karlsruhe 1990), Springer, Berlin, pp. 59-70, 1991.
14. M. Zhou and G.I.N. Rozvany, "The COC algorithm, Part II: topological, geometrical and generalized shape optimization", Comput. Methods Appl. Mech. Eng. 89, pp. 309-336, 1991.
15. K. Suzuki, N. Kikuchi and H. Ohtsubo, "Optimal shape and layout design of plate using microstructure", J. Japan Soc. Mech. Eng. 2-1, pp. 345-351, 1992.
16. L.H. Tenek and I. Hagiwara, "Optimal rectangular plate and shallow shell topologies using thickness distribution or homogenization", Comput. Methods Appl. Mech. Eng. 115, pp. 111-124, 1994.
17. R.J. Yang and C.H. Chuang, "Optimal topology design using linear programming", Comput. Struct. 52, pp. 265-275, 1994.