Structural Optimization of Shells of Revolution and Prismatic Shells

  • Ernest Hinton
  • Johann Sienz
  • Mustafa Özakça


Chapter 6 deals with structural shape and thickness optimization of SORs and prismatic shell structures. The basic algorithm for SSO is described first. Basically, SSO procedures involve the efficient integration of structural shape definition, automatic mesh generation, structural analysis, sensitivity analysis and mathematical programming methods. Details of the definition of the optimization problem and design sensitivity evaluation are presented. Only brief details of the optimization algorithm adopted are given because, in the present context, it is just used as a black box. Several examples of shape and thickness optimization of SORs and prismatic shells are included.


Design Variable Cylindrical Shell Structural Optimization Optimum Shape Axisymmetric Shell 
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  1. [1]
    Olhoff N. Optimal Design of vibrating circular Plates. Int J Solids Struct 1970;6:139–56.Google Scholar
  2. [2]
    Hamada M. On the Optimum Shape of some axisymmetric Shells. In: Sawczuk A, Mroz Z, editors. Optimization in Structural Design. New York: Springer-Verlag; 1975. p. 248–62.CrossRefGoogle Scholar
  3. [3]
    Boisserie JM, Glowinski R. Optimization of Thickness Law for thin axisymmetric Shells. Comput Struct 1978;8:331–43.MATHCrossRefGoogle Scholar
  4. [4]
    Plaut RH, Johnson LW, Barby R. Optimal Form of shallow Shell with circular Boundary, Parts 1-3. J Appl Mech 1984;51:526–39.MATHCrossRefGoogle Scholar
  5. [5]
    Mota Soares CM, Barbosa JI, Mota Soares CA, Pinto P. Optimal Design of axisymmetric Shell Structures. FEMCAD 1987;68-78.Google Scholar
  6. [6]
    Marcelin JL, Trompette P. Optimal Shape Design of thin axisymmetric Shells. Eng Optim 1988;13:109–17.CrossRefGoogle Scholar
  7. [7]
    Thambiratnam DP, Thevendran V. Optimum vibrating Shapes of Beams and circular Plates. J Sound Vib 1988;121:13–23.MATHCrossRefGoogle Scholar
  8. [8]
    Ramm E, Bletzinger KU, Kimmich S. Strategies in Shape Optimization of free Form Shells. In: Wriggers P, Wagner W, editors. Festschrift Erwin Stein: Nonlinear Computational Mechanics — a State of the Art. Heidelberg: Springer; 1991.Google Scholar
  9. [9]
    Hartmann D, Neumann M. Structural Optimization of a Box-girder Bridge by Means of the Finite Strip Method. In: Brebbia CA, Hernandez S, editors. Computer Aided Optimum Design of Structures. 1989. p 337–46.Google Scholar

Copyright information

© Springer-Verlag London 2003

Authors and Affiliations

  • Ernest Hinton
    • 1
  • Johann Sienz
    • 2
  • Mustafa Özakça
    • 3
  1. 1.Department of Civil EngineeringUniversity of Wales SwanseaSwanseaUK
  2. 2.Department of Mechanical EngineeringUniversity of Wales SwanseaSwanseaUK
  3. 3.Department of Civil Engineering, Faculty of EngineeringUniversity of GaziantepGaziantepTurkey

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