Journal of Failure Analysis and Prevention

, Volume 7, Issue 1, pp 50–55 | Cite as

Shape and Thickness Optimization Performance of a Beam Structure by Sequential Quadratic Programming Method

Peer Reviewed

Abstract

Successful performance of beam structures is critical to failure prevention, and beam performance can be optimized by careful consideration of beam shape and thickness. Shape and thickness optimization of beam structures having linear behaviour is treated. The first problem considered is the thickness distribution of the beam where the optimization variable is the thickness of the control points. The second problem is the shape optimization where the optimization variables are the ordinates of the control points. The optimization criterion (function objective to be minimized) is defined starting with the Von Mises criterion expressed in plane constraints. The resolution of the mechanical problem is made by the finite element method, and the optimization algorithm is the sequential quadratic programming (SQP) method.

Keywords

Finite elements Beams element Parameterization Optimization Sequential quadratic programming method 

References

  1. 1.
    Gill, P., Murray, W., Wright, M.H.: Practical Optimization. Academic Press (1981)Google Scholar
  2. 2.
    Domaszewski, M., Lnopf, C., Batoz, J.L., Touzot, G.: Shape optimization and minimum weight limit design of arches. Eng. Opt. 11, 173–193 (1987)Google Scholar
  3. 3.
    Fleury, C.: Le Dimensionnement Automatique Des Structures Elastique (The automatic dimensioning of the structures rubber band). The University of Liege, No. 76. (in French) (1979)Google Scholar
  4. 4.
    Abid, S: Optimisation d’Epaisseur de Structures Minces Isotropes et Composites en Présence de Non Linéarités Géométriques (The thickness optimization of isotropic and composite mean structures in the presence of not geometrical linearities), Thesis of doctorate, University of Compiegne (in French) (1995)Google Scholar
  5. 5.
    Vanderplaats, G.N., Moses, F.: Automated design of trusses for optimum geometry. J. Struct. Div. ASCE, 98(ST3), 671–690 (1972)Google Scholar
  6. 6.
    Zienkiewicz, O.C., Campbell, J.S.: Shape Optimization and Sequential Linear Programming Optimum Structural Design. Wiley (1973)Google Scholar
  7. 7.
    Choi, K.K., Duan, W.: Design sensitivity analysis and shape optimization of structural components with hyperelastic material. Comput Methods Appl Mech Eng 187(1–2), 219–243 (2000)MATHCrossRefGoogle Scholar
  8. 8.
    Vinot, P., Cogan, S., Piranda, J.: Shape optimization of thin-walled beam-like structures. Thin-Walled Structures 39, 611–630 (2001)CrossRefGoogle Scholar
  9. 9.
    Kimmich, S.: Strukturoptimiierung und Sensibilitatsanalyse Mit Finiten Elementen, Ph.D.dissertation, Institut fur Baustatik, Universitat Stuttgart (German) (1990)Google Scholar
  10. 10.
    Haftka, R.T., Adelman, H.L.M.: Recent developments in structural sensitivity analysis. Struct. Optim. 1, 137–151 (1989)Google Scholar
  11. 11.
    Haftka, R.T., Gurdal, Z., Kamat, M.P.: Elements of Structural Optimization. Kluwer Academic Publishers, Dordrecht (1990)MATHGoogle Scholar
  12. 12.
    Dems, K., Haftka, R.T.: Two approaches to sensitivity analysis for shape variation of structures. Mech. Struct. Mach. 16, 501–522 (1988)MathSciNetGoogle Scholar

Copyright information

© ASM International 2007

Authors and Affiliations

  1. 1.Mechanics Modelling and Production Research Unit, Mechanical Engineering DepartmentNational School of EngineersSfaxTunisia

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