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An optimization method for vibration suppression and energy dissipation of an axially moving string with hybrid nonclassical boundaries

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Abstract

The axially moving string model is widely used in engineering applications and is of great significance in research. To suppress transverse vibration and facilitate energy dissipation of the axially moving string with nonclassical boundaries, a bi-objective optimization model and methodology are proposed for its boundary parameters’ design. First, an approximate numerical model for an axially moving string with a nonclassical boundary is established, which is based on the finite element method (FEM) and Newmark-beta method. Then, a bi-objective model is proposed, including the average transverse vibration and the average system energy in a single traveling wave period, and a particle swarm optimization (BOPSO) algorithm is established for optimization. Finally, the proposed optimization model is applied in a numerical example, and the results are compared with NSGA-II, a multi-objective cuckoo search algorithm (MOCSA), and multi-objective flower pollination algorithm (MOFPA) to verify the feasibility of the proposed methodology.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China under Grant No. 51675150 and 51305115, and the Natural Science Foundation of Anhui Province under Grant No. 2208085ME130.

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Authors and Affiliations

  1. School of Mechanical Engineering, Hefei University of Technology, Hefei, 230009, China

    Yuanfeng Wu, Enwei Chen, Yuteng He, Haozheng Wei & Yimin Lu

  2. Institute of Sound and Vibration Research, University of Southampton, Southampton, SO17 1BJ, UK

    Neil S. Ferguson

Authors
  1. Yuanfeng Wu
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  2. Enwei Chen
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  3. Neil S. Ferguson
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  4. Yuteng He
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  5. Haozheng Wei
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Corresponding author

Correspondence to Enwei Chen.

Additional information

Yuanfeng Wu received the M.S. from Hefei University of Technology (HFUT), Hefei, China, in 2021. He is a Ph.D. student in Mechanical Engineering at HFUT. His current research interests include vibrations and waves in the continuous mechanical system, nonlinear dynamics, and intelligent optimization theory.

Enwei Chen received his Ph.D. from HFUT, Hefei, China, in 2006. Presently he is a Professor at School of Mechanical Engineering, HFUT. His current research interests include noise and vibration control, parametric vibrations of structural system.

Neil S Ferguson received his Ph.D. from the Institute of Sound and Vibration Research (ISVR), University of Southampton, UK in 1988. He has worked extensively on structural dynamic modeling, vibroacoustics and control. He is a Senior Lecturer at ISVR.

Yuteng He is a Ph.D. student in Mechanical Engineering, HFUT. He mainly researches vibration of an axially moving string system, the traveling wave method, vibration suppression.

Haozheng Wei received his Ph.D. from HFUT, Hefei, China, in 2010. He is an Associate Scholar of Mechanical Engineering, HFUT. His current research interests include noise signal detection and processing, noise prediction, noise and vibration control.

Yimin Lu is an Associate Professor of Mechanical Engineering, HFUT. His current research interests include noise signal detection and processing, and vibration in continuous mechanical systems.

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Wu, Y., Chen, E., Ferguson, N.S. et al. An optimization method for vibration suppression and energy dissipation of an axially moving string with hybrid nonclassical boundaries. J Mech Sci Technol 37, 1177–1187 (2023). https://doi.org/10.1007/s12206-023-0204-4

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  • DOI: https://doi.org/10.1007/s12206-023-0204-4

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