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Variable stiffness tuned particle dampers for vibration control of cantilever boring bars

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Abstract

This research proposes a novel type of variable stiffness tuned particle damper (TPD) for reducing vibrations in boring bars. The TPD integrates the developments of particle dam** and dynamical vibration absorber, whose frequency tuning principle is established through an equivalent theoretical model. Based on the multiphase flow theory of gas-solid, it is effective to obtain the equivalent dam** and stiffness of the particle dam**. The dynamic equations of the coupled system, consisting of a boring bar with the TPD, are built by Hamilton’s principle. The vibration suppression of the TPD is assessed by calculating the amplitude responses of the boring bar both with and without the TPD by the Newmark-beta algorithm. Moreover, an improvement is proposed to the existing gas-solid flow theory, and a comparative analysis of introducing the stiffness term on the dam** effect is presented. The parameters of the TPD are optimized by the genetic algorithm, and the results indicate that the optimized TPD effectively reduces the peak response of the boring bar system.

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Acknowledgements

The authors thank all the reviewers for constructive suggestions.

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Authors and Affiliations

  1. Bei**g Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Bei**g University of Technology, Bei**g, 100124, China

    **angying Guo, Yunan Zhu, Dongxing Cao & Jihou Yang

  2. School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110819, China

    Zhong Luo

Authors
  1. **angying Guo
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  2. Yunan Zhu
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  4. Dongxing Cao
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Correspondence to Dongxing Cao.

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Conflict of interest The authors declare no conflict of interest.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 12172014 and 11972050)

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Guo, X., Zhu, Y., Luo, Z. et al. Variable stiffness tuned particle dampers for vibration control of cantilever boring bars. Appl. Math. Mech.-Engl. Ed. 44, 2163–2186 (2023). https://doi.org/10.1007/s10483-023-3055-9

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  • DOI: https://doi.org/10.1007/s10483-023-3055-9

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Chinese Library Classification

2010 Mathematics Subject Classification

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