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Local analytical sensitivity analysis for design of continua with optimized 3D buckling behavior

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Abstract

The localized analytical sensitivity for eigenfrequency is extended to the non-linear problem of 3D continuum buckling analysis. Implemented in a finite element approach the inherent complexity of mode switching and multiple eigenvalues is found not to be a practical problem. The number of necessary redesigns is of the order 10-20 as illustrated by a specific example, where also different cases of stiffness interpolation are exemplified.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark, Nils Koppels Allé, Building 404, DK-2800, Kongens Lyngby, Denmark

    Niels L. Pedersen & Pauli Pedersen

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  1. Niels L. Pedersen
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  2. Pauli Pedersen
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Correspondence to Niels L. Pedersen.

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Pedersen, N.L., Pedersen, P. Local analytical sensitivity analysis for design of continua with optimized 3D buckling behavior. Struct Multidisc Optim 57, 293–304 (2018). https://doi.org/10.1007/s00158-017-1755-8

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  • DOI: https://doi.org/10.1007/s00158-017-1755-8

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