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A superelement formulation for the efficient layout design of complex multi-component system

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Abstract

In view of the prohibited computing time and the complexity of design procedure, a superelement formulation (SEF) is proposed to deal with the simultaneous optimization of component placement and the framework topology. In the iterative design process, each component is modelled as a movable superelement so that the sensitivity analysis with respect to the location design variables can be largely simplified by the SEF. Moreover, based on the Kuhn–Tucker optimality condition, two decomposition strategies are developed as variant approaches for the simultaneous design of multi-component system. By means of numerical examples, these approaches are compared to show their capability and efficiency for the system compliance minimization.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (10925212, 11002113, 11172236), 973 Program (2011CB610304), NPU Foundation for Fundamental Research (NPU-FFR-JC201009) and Graduate Starting Seed Foundation of NPU (Z2011081).

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Correspondence to Weihong Zhang.

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Xia, L., Zhu, J. & Zhang, W. A superelement formulation for the efficient layout design of complex multi-component system. Struct Multidisc Optim 45, 643–655 (2012). https://doi.org/10.1007/s00158-011-0720-1

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  • DOI: https://doi.org/10.1007/s00158-011-0720-1

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