Benchmark case studies in optimization of geometrically nonlinear structures

Structural and Multidisciplinary Optimization

Volumn 30, Issue 4, 2005, Pages 273-296

  Suleman, A ^a,b   Sedaghati, R ^c  

^a Instituto Superior Tecnico Institute for Mechanical Engineering   (Portugal)

^b UNIVERSITY OF VICTORIA   (Canada)

^c Civil and Environmental Engineering   (Canada)

Author keywords

Benchmark case studies; Nonlinear structures; Optimality criteria; Structural optimization

Indexed keywords

ALGORITHMS; BENCHMARKING; BUCKLING; DEFLECTION (STRUCTURES); EIGENVALUES AND EIGENFUNCTIONS; GEOMETRY; PROBLEM SOLVING; STRUCTURAL OPTIMIZATION;

BENCHMARK CASE STUDIES; DISPLACEMENT CONTROL; NONLINEAR STRUCTURES; OPTIMALITY CRITERIA;

STRUCTURES (BUILT OBJECTS);

EID: 24944551363     PISSN: 1615147X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00158-005-0524-2     Document Type: Article

References (44)

1. Arora JS, Cardoso JB (1989) A design sensitivity analysis principle and its implementation into ADINA. Comput Struct 32:691-705
2. Bathe KJ, Dvorkin EN (1983) On the automatic solution of nonlinear finite element equations. Comput Struct 17:871-879
3. Bathe KJ (1996) Finite element procedures. Prentice-Hall, NJ
4. Batoz JL, Dhatt G (1979) Incremental displacement algorithms for nonlinear problems. Int J Numer Methods Eng 14:1262-1267
5. cardoso jb, arorajs (1988) variational method for design sensitivity analysis in nonlinear structural mechanics. AIAA J 26(5)
6. Choi KK, Santos JLT (1987) Design sensitivity analysis of nonlinear structural systems. Part I: theory. Int J Numer Methods Eng 24:2039-2055
7. Crisfield MA (1981) A fast incremental/iterative procedure that handles snap-through. Comput Struct 13:55-62
8. Haftka RT (1989) Integrated nonlinear structural analysis and design. ATAA 127:1622-1627
9. rd edn.
10. Haisler WE, Stricklin JA, Key JE (1977) Incrementation in nonlinear structural analysis by self-correcting method. Int J Numer Methods Eng 11:3-10
11. Levy R, Perng HS (1988) Optimization for nonlinear stability. Comput Struct 30:529-535
12. Levy R (1994) Optimization for buckling with exact geometries. Comput Struct 53:1139-1144
13. Levy R (1994) Optimal design of trusses for overall stability. Comput Struct 53(5): 1133-1138
14. nd edn., Kluwer Academic, Dordrecht. The Netherlands, (ISBN 0-4020-1654-9), XVI+272 pages
15. Levy R, Su Hsin-Hwa (2004) On the modeling and solving of the truss design problem with global stability constraints. J Struct Multidisc Optim 26(5):367-368
16. Lin Yt, Chung Tt, Sun TC (1992) Weight optimization of nonlinear truss structures with static response. J Chinese Society Mech Eng (CSME) 13:317-326
17. Kamat MP, Khot NS, Venkayya VB (1984) Optimization of shallow trusses against limit point instability. AIAA J 22:403-408
18. Kamat MP, Khot NS, Watson LT (1983) On optimizing frame type structures in nonlinear response. Comput Methods Nonlin Solids Struct Mech 54:111-119
19. Kamat MP (1987) Optimization of shallow arches against instability using sensitivity derivatives. Finite Elements in Analysis and Design 3:277-284
20. Kamat MP, Raungasilasingha P (1985) Optimization of space truss against instability using design sensitivity derivatives, eng optim 8:177-188
21. Kegl M, Butinar BJ, Oblak MM (1995) Shape optimal design of elastic planar frames with nonlinear response. Int J Numer Methods Eng 38:3227-3242
22. Kegl M, Antes H (1998) Shape optimal design of elastic space frames with non-linear response. Int J Numer Methods Eng 43:93-110
23. Khot NS (1983) Nonlinear analysis of optimized structure with constraints on system stability. AIAA J 21:1181-1186
24. Khot NS, Kamat MP (1985) Minimum weight design of truss structures with geometric nonlinear behavior. AIAA J 23(1): 139-144
25. Orozco CE, Ghattas ON (1992) Sparse approach to simultaneous analysis and design of geometrically nonlinear structures. AIAA J 30:1877-1885
26. Orozco CE, Ghattas ON (1997) A reduced SAND method for optimal design of nonlinear structures. Int J Numer Methods Eng 40:2759-2774
27. Padovan J, Tovichakchaikul S (1983) Self adaptive predicator-corrector algorithms for static nonlinear structural analysis. Comput Struct 17:871-879
28. Polynkin AA, van Keulen F, Toropov VV (1995) Optimization of geometrically nonlinear thin-walled structures using the multipoint approximation method. Struct Optim 9:105-116
29. Polynkin AA, van Keulen F, Toropov VV (1996) Optimization of geometrically non-linear structures based on a multi-point approximation method and adaptivity. Engineering Computations. Int J Computer-Aided Eng & Software 13(2/3/4):76-97
30. Ricks E (1979) An incremental approach to the solution of snapping and buckling problems. Int J Solids Struct 15:529-551
31. Rosen A, Schmit LA Jr (1980) Design oriented analysis of imperfect truss structures. Part II: Approximate Analysis. Int J Numer Methods Eng 15:483-494
32. Saka MP (1988) Optimum Design of Nonlinear Space Trusses. Cornput Struct 30:545-551
33. Saka MP, Ulker M (1992) Optimum Design of Geometrically Nonlinear Space Trusses. Comput Struct 42:289-299
34. Santos JLT, Choi KK (1988) Sizing Design Sensitivity Analysis of Nonlinear Structural Systems. Part II: Numerical Method. Int J Numer Methods Eng 26:2039-2055
35. Sedaghati R, Tabarrok B (2000) Optimum design of truss structures undergoing large deflections subject to a system stability constraint. Int J Numer Methods Eng 48(3):421-434
36. Sedaghati R, Tabarrok B, Suleman A (2001) Structural Design Optimization of Nonlinear Symmetric Structures using the Group Theoretic Approach. AIAA J 39(8): 1593-1599
37. Sedaghati R, Suleman A, Tabarrok B (2001) Optimum Design of Frame Structures Undergoing Large Deflections Against System Instability. Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics, June 12-15, 2001, Vol. 1, pp. 725-728, MIT, Cambridge, MA
38. Smaui H (1985) An Integrated Approach to the Synthesis of Geometrically Nonlinear Structures. Master's Thesis, University of California, Los Angeles
39. Smaui H, Schmit LA (1988) An Integrated Approach to the Synthesis of Geometrically Nonlinear Structures. Int J Numer Methods Eng 26:555-570
40. Teixeira de Freitas JA, Moitinho de Almeida JPB (1981) Elastic Synthesis for Large Displacements. Proceedings of International Symposium on Optimal Structural Design, University of Arizona, Tucson, Arizona: 13.35-13.41
41. Wempner GA (1971) Discrete Approximation Related to Nonlinear Theories of Solids. Int J Solids Struct 7:1581-1599
42. Wu CC, Arora JS (1987) Simultaneous Analysis and Design of Nonlinear Response. Eng Comput 2:53-63
43. Wu CC, Arora JS (1988) Design Sensitivity Analysis of Non-Linear Buckling Load. Comput Mech 3:129-140
44. Zienkiewicz OC (1971) Incremental Displacements in Nonlinear Problems. Int J Numer Methods Eng 3:587-592