An evolutionary method for optimization of plate buckling resistance

Finite Elements in Analysis and Design

Volumn 29, Issue 3-4, 1998, Pages 205-230

  Manickarajah, D ^a   Xie, Y M ^a   Steven, G P ^b  

^a VICTORIA UNIVERSITY   (Australia)

^b NONE

Author keywords

Bimodal; Buckling resistance; Eigenvalue; Multimodal; Optimum design; Plate structures; Sensitivity number

Indexed keywords

ASPECT RATIO; BOUNDARY CONDITIONS; BUCKLING; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; NUMERICAL METHODS; OPTIMIZATION; STRAIN; STRESS ANALYSIS; STRUCTURAL ANALYSIS; STRUCTURAL LOADS;

OPTIMUM THICKNESS DISTRIBUTIONS; PLATE BUCKLING RESISTANCE; STRAIN ENERGY DENSITY;

PLATES (STRUCTURAL COMPONENTS);

EID: 0032093723     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-874X(98)00012-2     Document Type: Article

References (23)

1. H.W. Parsons, The buckling under compression of a thin rectangular plate of variable thickness, Paper 17231, Struct. 1759, Aeronautical Research Council, London, U.K, 1955.
2. E.C. Capey, The buckling under longitudinal compression of a simply supported panel that changes in thickness across the width. Paper 235, Aeronautical Research Council, London, UK, 1956.
3. E.H. Mansfield, Inverse methods in two dimensional elasticity, in: E. Becker, G.K. Mikhailov (Eds.), Proc. 13th Conf. of Theoretical and Appl. Mech. Springer, Berlin, pp. 229-239.
4. W.R. Spillers, R. Levy, Optimal design for plate buckling, J. Struct. Eng. ASCE 116 (1990) 850-858.
5. R. Levy, A. Ganz, Analysis of optimized plates for buckling, Comput. Struct. 41 (1991) 1379-1385.
6. R. Levy, V. Sokolinsky, Prebuckling optimal design of orthotropic variable thickness plates for inplane loading, Struct. Optim. 9 (1995) 96-104.
7. R. Levy, Rayleigh-Ritz optimal design orthotropic plates for buckling, Struct. Eng. Mech. 4 (5) (1996) 541-552.
8. M.D. Pandey, A.N. Sherbourne, Mechanics of shape optimization in plate buckling, J. Eng. Mech. ASCE. 118 (1992) 1249-1266.
9. J.B. Keller, The shape of the strongest column, Arch. Rat. Mech. Anal. 5 (1960) 275-285.
10. J. Folgado, H. Rodrigues, J.M. Guedes, Layout design of plate reinforcements with a buckling load criterion, in: N. Olhoff, G.I.N. Rozvany (Eds.), First World Congress of Structural and Multidisciplinary Optimization, Goslar, Germany, Pergamon, Oxford, 1995, pp. 659-666.
11. D.N. Chu, Y.M. Xie, A. Hira, G.P. Steven, Evolutionary structural optimization for problems with stiffness constraints, Finite Elements Anal, and Des. 21 (1996) 239-251.
12. Y.M. Xie, G.P. Steven, Evolutionary structural optimization for dynamic problems, Comput. Struct. 58 (6) (1996) 1067-1073.
13. D. Manickarajah, Y.M. Xie, G.P. Steven, A simple method for the optimization of columns, frames, and plates against buckling, in: S. Kitipornchai, G.J. Hancock, M.A. Bradford (Eds.), Structural Stability and Design, Proc. Int. Conf. on Structural Stability and Design, Sydney, Australia, 1995, Balkema, Rotterdam (1995) pp. 175-180.
14. D. Manickarajah, Y.M. Xie, G.P. Steven, Optimum design of frames with multiple constraints using an evolutionary method, Comput. Struct. 1997, submitted.
15. Y.M. Xie, G.P. Steven, Evolutionary Structural Optimization, Springer, London, 1997.
16. C.S. Jog, R.B. Haber, Checkerboard and other spurious modes in solutions to distributed-parameter and topology design problems, in: N. Olhoff, G.I.N. Rozvany (Eds.), Proc. 1st World Congress of Structural and Multidisciplinary Optimization, Goslar, Germany, 1995, Pergamon, Oxford, (1995) pp. 237-242.
17. W.H. Wittrick, C.H. Ellen, Buckling of tapered rectangular plates in compression, Aero. Quart. 13 (1962) 308-326.
18. S.F. Ng, Y. Araar, Free vibration and buckling analysis of clamped rectangular plates of variable thickness by the Galerkin method, J. Sound Vib. 135 (1989) 263-274.
19. H. Kobayashi, K. Sonoda, Buckling of rectangular plates with tapered thickness, J. Struct. Eng. ASCE 116 (1990) 1278-1289.
20. I.E. Harik, M.G. Andrade, Stability of plates with step variation in thickness, Comput. Struct. 33 (1989) 257-263.
21. I. E Harik, X. Liu, R. Ekambaram, Elastic stability of plates with varying rigidities, Comput. Struct. 38 (1991) 161-168.
22. N.S. Khot, V.B. Venkayya, L. Berke, Optimum structural design with stability constraints, Int. J. Numer. Meth. Eng. 10 (1976) 1097-1114.
23. W. Szyszkowski, Multimodal optimality criterion for maximum stability, Int. J. Non-Linear Mech. 27 (1992) 623-633.