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Optimal Thickness of a Cylindrical Shell Subject to Stochastic Forces

Author

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  • Mohammad Keyanpour

    (University of Guilan)

  • Ali M. Nehrani

    (University of Guilan)

Abstract

In this paper, sizing of the thickness of a cylindrical shell subject to a stochastic force is considered. The variational principle of stochastic partial differential equations (PDEs) is applied to derive the necessary optimality conditions. The goal is to determine the optimal thickness of a cylindrical shell such that subject to a stochastic force it does not deform, although, because of the elasticity of a cylindrical shell, occasionally small deformations that do not destroy the structure are allowable. The sizing problem under a stochastic force is considered via a one-dimensional stochastic PDE-constrained optimization problem. Test examples are solved using a self-adjoint gradient algorithm.

Suggested Citation

  • Mohammad Keyanpour & Ali M. Nehrani, 2015. "Optimal Thickness of a Cylindrical Shell Subject to Stochastic Forces," Journal of Optimization Theory and Applications, Springer, vol. 167(3), pages 1032-1050, December.
    • Handle: RePEc:spr:joptap:v:167:y:2015:i:3:d:10.1007_s10957-014-0663-y
    DOI: 10.1007/s10957-014-0663-y
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