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Analysis and Optimization of Systes pp 164–173Cite as

Minimax shape optimization problem for von Karman system

  • Control of Distributed Parameter Systems
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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 144))

Abstract

An optimal shape design problem of an elastic body described by system of two nolinear elliptic equations of the fourth order is considered. The problem is to find the boundary of the domain occupied by the body in such a way that the cost functional approximating the stiffness of the system in the equilibrium state is minimized. It is assumed that the volume of the body is constant. Moreover the function describing the boundary of the domain and its gradient are bounded. Necessary optimality condition for this problem is formulated using material derivative method.

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Authors and Affiliations

  1. Systems Research Institute, ul. Newelska 6, 01-447, Warsaw, Poland

    A. Myslinski

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  1. A. Myslinski
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A. Bensoussan J. L. Lions

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© 1990 Springer-Verlag

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Myslinski, A. (1990). Minimax shape optimization problem for von Karman system. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systes. Lecture Notes in Control and Information Sciences, vol 144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120039

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  • DOI: https://doi.org/10.1007/BFb0120039

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52630-8

  • Online ISBN: 978-3-540-47085-4

  • eBook Packages: Springer Book Archive

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