Structural optimization strategies for simple and integrally stiffened plates and shells

Engineering Computations (Swansea, Wales)

Volumn 22, Issue 4, 2005, Pages 429-452

  Afonso, S M B ^a   Sienz, J ^b   Belblidia, F ^b  

^a FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

^b SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Optimization techniques; Plate structures; Shell structures; Stiffness matrices

Indexed keywords

CIVIL ENGINEERING; DEGREES OF FREEDOM (MECHANICS); SHEAR STRESS; SHELLS (STRUCTURES); STIFFNESS; STRUCTURAL ANALYSIS; STRUCTURAL DESIGN; STRUCTURAL OPTIMIZATION;

OPTIMIZATION TECHNIQUES; PLATE STRUCTURES; SHELL STRUCTURES; STIFFNESS MATRICES;

PLATES (STRUCTURAL COMPONENTS);

EID: 20444485228     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644400510598769     Document Type: Article

References (35)

1. Afonso, S.M.B. (1995), "Shape optimization of Mindlin-Reissner shells under static and free vibration conditions", PhD thesis, Department of Civil Engineering, C/Ph/188/95, University of Wales, Swansea.
2. Afonso, S.M.B. and Antonino, G.C.R. (1998), "Generation of optimal stiffening layout for plates using a structural shape optimization procedure", paper presented at the IV World Congress on Computational Mechanics, Buenos Aires.
3. Afonso, S.M.B. and Antonino, G.C.R. (1999), "Analysis and optimum design of stiffened structures", paper presented at the XX Congresso Ibero Latino Americano de Métodos Computacionais em Engenharia, So Paulo.
4. Ahmad, S. (1969), "Curved finite elements in the analysis of solid shell and plate", PhD thesis, Department of Civil Engineering, C/Ph/7/69, University College of Swansea, Swansea.
5. Baumgartner, A., Harzheim, L. and Matteck, C. (1992), "SKO soft kill option. The biological way to find an optimum structure topology", International Journal of Fatigue, Vol. 14 No. 6, pp. 387-93.
6. Belblidia, F. (1999), "Fully integrated design optimization for plate structures FIDO-plates", PhD thesis, Department of Civil Engineering, C/Ph/231/99, University of Wales, Swansea.
7. Belblidia, F. and Bulman, S. (2002), "A hybrid topology optimization algorithm for static and vibrating shell structures", International Journal for Numerical Methods in Engineering, Vol. 54 No. 6, pp. 835-52.
8. Belblidia, F. and Hinton, E. (2002), "Fully integrated design optimization of plate structures", Finite Elements in Analysis and Design, Vol. 38, pp. 227-44.
9. Belblidia, F., Afonso, S.M.B., Hinton, E. and Antonino, G.C.R. (1999), "Integrated design optimization of stiffened plate structures", Engineering Computations, Vol. 16, pp. 934-51.
10. Belblidia, F., Afonso, S.M.B. and Sienz, J. (2001), "Comparison of single and three layered material models in the hybrid topology optimization of shell structures", The third ASMO Engineering Design Optimization Conference, Harrogate, July, pp. 41-7.
11. Bendsøe, M.P. and Kikuchi, N. (1988), "Generating optimal topologies in structural design using homogenization method", Computer Methods in Applied Mechanics and Engineering, Vol. 71, pp. 197-224.
12. Bendsøe, M.P. and Sigmund, O. (2003), Topology Optimization: Theory, Methods and Applications, Springer, Berlin.
13. Bulman, S. and Hinton, E. (1999), "Constrained adaptive topology optimization of engineering structures", Design Optimization, Vol. 1, pp. 19-439.
14. Cheng, K.T. and Olhoff, N. (1981), "An investigation concerning optimal design of solid elastic plates", International Journal of Solids and Structures, Vol. 17, pp. 305-23.
15. Chipalo, M., Bettess, P. and Bull, J.W. (1994), "A nine-node stress resultant integrally stiffened shell element", The Second International Conference on Computational Structures Technology, Athens, pp. 57-62.
16. Falco, S.A., Afonso, S.M.B. and Vaz, L.E. (2004), "Analysis and optimal design of variables thickness plates and shells under dynamic loads - I: finite element and sensitivity analysis, II: optimization", Structural Optimization, Vol. 27, pp. 189-209.
17. Gea, H.C. and Luo, J.H. (1999), "Automated optimal stiffener pattern design", Mechanics of Structures and Machines, Vol. 27, pp. 275-92.
18. Hassani, B. and Hinton, E. (1999), Homogenization and Structural Topology Optimization, Springer, London.
19. Huang, H.C. and Hinton, E. (1986), "A new nine-node degenerated shell element with enhanced membrane and shear interpolation", International Journal for Numerical Methods in Engineering, Vol. 22, pp. 73-92.
20. Lagaros, N.D., Fragiadakis, M. and Papadrakakis, M. (2004), "Optimum design of shell structures with stiffening beams", AIAA Journal, Vol. 1, pp. 175-84.
21. Luo, J.H. and Gea, H.C. (1998), "A systematic topology optimization approach for optimal stiffener design", Structural Optimization, Vol. 16, pp. 280-8.
22. Maute, K. and Ramm, E. (1997), "Adaptive topology optimization of shell structures", AIAA Journal, Vol. 35, pp. 1767-73.
23. Paley, M., Fuchs, M.B. and Miroshnik, E. (1996), "The aboudi micromechanical model for shape design of structures", The Third International Conference on Computational Structures Technology, Budapest, pp. 21-3.
24. Powell, M.J.D. (1978), "Algorithms for nonlinear constraints that use lagrangian functions", Mathematical Programming, Vol. 14, pp. 224-48.
25. Rao, N.V.R. (1992), "Computer aided analysis and optimisation of shell structures", PhD thesis, Department of Civil Engineering, C/Ph/160/92, University of Wales, Swansea.
26. Rozvany, G.I.N. (2000), "Problem classes, solution strategies and unified terminology of FE-based topology homogenization", The NATO Advanced Research Workshop on Topology Homogenization of Structures and Composite Continua, Budapest, pp. 19-35.
27. Rozvany, G.I.N., Zhou, M. and Biker, T. (1992), "Generalized shape optimization without homogenization", Structural Optimization, Vol. 4, pp. 250-2.
28. Sienz, J. (1994), "Integrated structural modelling, adaptive analysis and shape optimization", PhD thesis, Department of Civil Engineering, C/Ph/181/94, University of Wales, Swansea.
29. Soto, C. and Dìaz, A. (1993), "On modeling of ribbed plates for shape optimization", Structural Optimization, Vol. 6, pp. 175-88.
30. Suzuki, K. and Kikuchi, N. (1991), "A homogenization method for shape and topology optimization", Computer Methods in Applied Mechanics and Engineering, Vol. 93, pp. 291-318.
31. Tenek, L.H. and Hagiwara, I. (1994), "Optimal rectangular plate and shallow shell topologies using thickness distribution or optimization", Computer Methods in Applied Mechanics and Engineering, Vol. 115, pp. 111-24.
32. Thompson, P.A. (1989), "Stiffened shell element development and application to perforated structures", PhD thesis, Newcastle University, Newcastle.
33. Xie, Y.M. and Steven, G.P. (1997), Evolutionary Structural Optimization, Springer, Berlin.
34. Zhou, M. and Rozvany, G.I.N. (1991), "The COC algorithm, part II: topological, geometrical and generalized shape optimization", Computer Methods in Applied Mechanics and Engineering, Vol. 89, pp. 309-36.
35. Zienkiewicz, O.C. and Taylor, R.L. (2000), The Finite Element Method, Vol. II, McGraw-Hill, New York, NY.