Optimal Thickness of a Cylindrical Shell -- Shape Optimization with Time-dependent Force
Please always quote using this URN:urn:nbn:de:0296-matheon-11755
- We discuss shape optimization problems for cylindrical tubes that are loaded by time-dependent applied force. This is a problem of shape optimization that leads to optimal control in linear elasticity theory. We determine the optimal thickness of a cylindrical tube minimizing the deformation of the tube under the influence of the external force. The main difficulty is that the state equation is a hyperbolic partial differential equation of 4th order. First order necessary conditions for the optimal solution are derived. Based on them, a numerical method is set up and numerical examples are presented.
Author: | Peter Nestler |
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URN: | urn:nbn:de:0296-matheon-11755 |
Referee: | Dietmar Hömberg |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2012/10/25 |
Release Date: | 2012/10/25 |
Tag: | shape optimization |
Institute: | Technische Universität Berlin |
MSC-Classification: | 49-XX CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] / 49Kxx Optimality conditions / 49K20 Problems involving partial differential equations |
Preprint Number: | 988 |