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ArticleOriginal scientific text

Title

Optimal design of cylindrical shells

Authors 1, 1

Affiliations

  1. Greifswald University, Germany

Abstract

The present paper studies an optimization problem of dynamically loaded cylindrical tubes. This is a problem of linear elasticity theory. As we search for the optimal thickness of the tube which minimizes the displacement under forces, this is a problem of shape optimization. The mathematical model is given by a differential equation (ODE and PDE, respectively); the mechanical problem is described as an optimal control problem. We consider both the stationary (time independent) and the transient (time dependent) case. P. Nestler derives the model-equations from the Mindlin and Reissner hypotheses. Then, necessary optimality conditions for the optimal control problem are given. Numerical solutions are obtained by FEM, numerical examples are presented.

Keywords

ENG
linear elasticity, shell theory, cylindrical tube, optimal control, shape optimization

Bibliography

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2010/30/2
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Pages:
253-267
Main language of publication
English
Received
2009-12-07
Published
2010

DOI: 10.7151/dmdico.1123

Exact and natural sciences