Optimal Thickness of a Cylindrical Shell Subject to Stochastic Forces

Mohammad Keyanpour and Ali Nehrani ()
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Mohammad Keyanpour: University of Guilan

Journal of Optimization Theory and Applications, 2015, vol. 167, issue 3, No 16, 1032-1050

Abstract: 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.

Keywords: Optimal sizing; Stochastic partial differential equation; Variational formulation; Self-adjoint property; Stochastic quantification; 65K10; 65K15; 49M05; 49K45; 49K20 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10957-014-0663-y

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