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

Xiangying GUO, Yunan ZHU, Zhong LUO, Dongxing CAO, Jihou YANG

doi:10.1007/s10483-023-3055-9

Applied Mathematics and Mechanics >

2023 , Vol. 44 >Issue 12: 2163 - 2186

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

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

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1. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China;
2. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China

Received date: 2023-06-21

Revised date: 2023-09-07

Online published: 2023-11-27

Supported by

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

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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 damping 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 damping and stiffness of the particle damping. 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 damping 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.

Key words： particle; tuned particle damper (TPD); variable stiffness; vibration control

Cite this article

Xiangying GUO, Yunan ZHU, Zhong LUO, Dongxing CAO, Jihou YANG . Variable stiffness tuned particle dampers for vibration control of cantilever boring bars[J]. Applied Mathematics and Mechanics, 2023 , 44(12) : 2163 -2186 . DOI: 10.1007/s10483-023-3055-9

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