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A Modified Finite Difference Method to Shape Design Sensitivity Analysis

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Boundary Elements XIII

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Abstract

A new method is presented in this paper for the calculation of shape design sensitivity with kinematical design boundary. This new method modifies the traditional finite difference approach, such that the variation of the structural response due to the change of the kinematic boundary is replaced by an equivalent problem, and the final design sensitivity is expressed as the solutions of the initial structure under the perturbation displacements on the design boundary. Two examples are used to demonstrate the proposed new formulation.

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Author information

Authors and Affiliations

  1. School of Civil and Structural Engineering, Nanyang Technological University, Nanyang Avenue, 2263, Singapore

    Z. Zhao

Authors
  1. Z. Zhao
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Editor information

Editors and Affiliations

  1. Wessex Institute of Technology, Ashurst Lodge, Ashurst, Southampton, SO4 2AA, UK

    C. A. Brebbia

  2. School of Civil Engineering, Oklahoma State University, 314 Engineering South, Stillwater, OK, 74078, USA

    G. S. Gipson

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© 1991 Computational Mechanics Publications

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Zhao, Z. (1991). A Modified Finite Difference Method to Shape Design Sensitivity Analysis. In: Brebbia, C.A., Gipson, G.S. (eds) Boundary Elements XIII. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3696-9_60

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  • DOI: https://doi.org/10.1007/978-94-011-3696-9_60

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-85166-696-6

  • Online ISBN: 978-94-011-3696-9

  • eBook Packages: Springer Book Archive

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