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Optimal loading conditions in the design and identification of structures. Part 1: discrete formulation

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Abstract

The paper is concerned with a class of structural optimization problems for which loading distribution and orientation are unspecified. The optimal loading conditions correspond to the extremal structural response, which can be used in assessment of structural safety or in generating the maximum structure stiffness or compliance. In identification problems the optimal load distribution is selected in order to minimize the distance norm between model prediction and experimental data. The sensitivity derivatives and optimality conditions are derived in the paper using discretized formulations. The generalized coaxiality conditions of loading and displacement or adjoint displacement vectors generate eigenvalue problems specifying stationary solutions. The paper is illustrated by examples of optimal loading distribution in structure design and identification.

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Authors and Affiliations

  1. Institute for Fundamental Technological Research, Polish Academy of Sciences, Świetokrzyska 21, 00-049, Warsaw, Poland

    Z. Mróz

  2. Institute of Structural Engineering, Poznan University of Technology, Piotrowo 5, 61-960, Poznań, Poland

    A. Garstecki

Authors
  1. Z. Mróz
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  2. A. Garstecki
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Correspondence to A. Garstecki.

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Mróz, Z., Garstecki, A. Optimal loading conditions in the design and identification of structures. Part 1: discrete formulation. Struct Multidisc Optim 29, 1–18 (2005). https://doi.org/10.1007/s00158-004-0474-0

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  • DOI: https://doi.org/10.1007/s00158-004-0474-0

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