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Two new indices for structural optimization of free vibration suppression

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Abstract

This study develops two new indices in structural optimization to minimize peak response and settling time of free vibration, respectively. The two new indices are developed by substituting weight functions into a classic quadratic integral index. With the weight functions, the contributions of structural responses in different time intervals to the value of performance index can be adjusted according to requirements. In such a way, the new indices can approximately evaluate structural performances in reduction of the peak response and settling time, respectively. The new indices have the advantages that they retain the benefits of the classical index for the ease of numerical calculation and sensitivity analysis. Furthermore, they are easy to implement by slightly modifying various developed optimization approaches. Finally, four numerical examples are considered. The proposed two new indices show good performance in reducing the peak response and settling time of free vibration.

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Data and code availability

The results of the optimized designs and the basic code of this work are available from the corresponding author on reasonable request.

Funding

This work is supported by the National Natural Science Foundation of China (Grant numbers: 11702052) and China Postdoctoral Science Foundation (Grant numbers: 2018 M640251, 2019 T120201).

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Authors and Affiliations

  1. School of Chemical Machinery and Safety, Dalian University of Technology, Dalian, 116024, Liaoning, China

    Kun Yan

  2. Department of Mechanical and Aerospace Engineering, University of Texas at Arlington, P.O. Box 19023, Arlington, TX, 76019, USA

    Bo Ping Wang

Authors
  1. Kun Yan
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  2. Bo Ping Wang
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Correspondence to Bo Ping Wang.

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Yan, K., Wang, B.P. Two new indices for structural optimization of free vibration suppression. Struct Multidisc Optim 61, 2057–2075 (2020). https://doi.org/10.1007/s00158-019-02451-z

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