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Shape Optimization Using Boundary Elements

  • Conference paper
Engineering Optimization in Design Processes

Part of the book series: Lecture Notes in Engineering ((LNENG,volume 63))

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Abstract

The method of derivation of shape sensitivity analysis formula for the systems described by boundary integral equations is proposed. The boundary element method was used not only to solve the state equations, but also to provide sensitivity analysis. The analogous formulation of the problem, but treated using the different method, was studied in [1].

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References

  1. Choi J.H., Kwak B.M. Shape Design Sensitivity Analysis of Elliptic Problems in Boundary Integral Equation Formulation, Mech. Struct. & Mach., 16 (2), 147–165 (1988)

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  2. Hartmann F. Introduction to Boundary Elements. Theory and Applications. Springer, Berlin, Heidelberg, 1989.

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  3. Gipson G.S. Boundary Element Fundamentals - Basic Concepts and Recent Developments in the Poisson Equation, Computational Mechanics Publications, Southampton,Boston,1887.

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  4. . Banichuk N.V. Introduction to Optimal Design. Springer, Berlin, Heidelberg, 1990.

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  5. Zabreiko P.P., Koshelev A.I., Krasnoselsky M.A., Mikhlin S.G., Rakovshchik L.S., Stetsenko V.Ya. Integral Equations - a Reference Text. Noordhoff, Leyden, 1975.

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Author information

Authors and Affiliations

  1. Institute for Problems in Mechanics, Academy of Sciences USSR, Av. Vernadskogo. 101, Moscow, SU-117526, USSR

    Vladimir Kobelev

Authors
  1. Vladimir Kobelev
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Editor information

Editors and Affiliations

  1. Institute of Mechanics and Control Engineering, University of Siegen, D-5900, Siegen, Germany

    Hans A. Eschenauer

  2. Karlsruhe Nuclear Research Center, Institute of Materials and Solid State Research IV, D-7500, Karlsruhe, Germany

    Claus Mattheck

  3. Institute of Mechanical Engineering, Aalborg University, DK-9220, Aalborg, Denmark

    Niels Olhoff

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© 1991 Springer-Verlag Berlin, Heidelberg

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Kobelev, V. (1991). Shape Optimization Using Boundary Elements. In: Eschenauer, H.A., Mattheck, C., Olhoff, N. (eds) Engineering Optimization in Design Processes. Lecture Notes in Engineering, vol 63. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84397-6_16

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  • DOI: https://doi.org/10.1007/978-3-642-84397-6_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53589-8

  • Online ISBN: 978-3-642-84397-6

  • eBook Packages: Springer Book Archive

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