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Recent developments in structural sensitivity analysis

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Abstract

The present paper reviews recent developments in two major areas of structural sensitivity analysis: sensitivity of static and transient response; and sensitivity of vibration and buckling eigenproblems. Recent developments from the standpoint of computational cost, accuracy, and ease of implementation are presented.

In the area of static response, current interest is focused on sensitivity to shape variation and sensitivity of nonlinear response. Two general approaches are used for computing sensitivities: differentiation of the continuum equations followed by discretization, and the reverse approach of discretization followed by differentiation. It is shown that the choice of methods has important accuracy and implementation implications.

In the area of eigenproblem sensitivity, there is a great deal of interest and significant progress in sensitivity of problems with repeated eigenvalues. The paper raises the issue of differentiability and continuity that is inherent to the repeated eigenvalue case.

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Authors and Affiliations

  1. Dept. of Aerospace and Ocean Engineering, Virginia Polytechnic Institute and State University, 24061, Blacksburg, Va, USA

    R. T. Haftka

  2. Interdisciplinary Research Office, NASA Langley Research Center, 23665, Hampton, Va, USA

    H. M. Adelman

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  1. R. T. Haftka
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Haftka, R.T., Adelman, H.M. Recent developments in structural sensitivity analysis. Structural Optimization 1, 137–151 (1989). https://doi.org/10.1007/BF01637334

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