A new kind of nonlinear energy sink (NES) is proposed to control the vibration of a flexible structure with simply supported boundaries in the present work. The new kind of absorber is assembled at the end of structures and absorbs energy through the rotation angle at the end of the structure. It is easy to design and attached to the support of flexible structures. The structure and the absorber are coupled just with a nonlinear restoring moment and the damper in the absorber acts on the structure indirectly. In this way, all the linear characters of the flexible structure will not be changed. The system is investigated by a special perturbation method and verified by simulation. Parameters of the absorber are fully discussed to optimize the efficiency of it. For the resonance, the maximum motion is restrained up to 90% by the optimized absorber. For the impulse, the vibration of the structure could attenuate rapidly. In addition to the high efficiency, energy transmits to the absorber uniaxially. For the high efficiency, convenience of installation and the immutability of linear characters, the new kind of rotating absorber provides a very good strategy for the vibration control.
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February 2019
Research-Article
Nonlinear Torsional Vibration Absorber for Flexible Structures
Xiao-Ye Mao,
Xiao-Ye Mao
Shanghai Institute of Applied Mathematics
and Mechanics,
Shanghai University,
Shanghai 200072, China
and Mechanics,
Shanghai University,
Shanghai 200072, China
Search for other works by this author on:
Hu Ding,
Hu Ding
Shanghai Institute of Applied Mathematics
and Mechanics,
Shanghai University,
149 Yan Chang Road,
Shanghai 200072, China;
Shanghai Key Laboratory of Mechanics in
Energy Engineering,
Shanghai University,
Shanghai 200072, China
e-mail: dinghu3@shu.edu.cn
and Mechanics,
Shanghai University,
149 Yan Chang Road,
Shanghai 200072, China;
Shanghai Key Laboratory of Mechanics in
Energy Engineering,
Shanghai University,
Shanghai 200072, China
e-mail: dinghu3@shu.edu.cn
Search for other works by this author on:
Li-Qun Chen
Li-Qun Chen
Shanghai Institute of Applied Mathematics
and Mechanics,
Shanghai University,
Shanghai 200072, China;
Shanghai Key Laboratory of Mechanics in
Energy Engineering,
Shanghai University,
Shanghai 200072, China;
Department of Mechanics,
Shanghai University,
Shanghai 200072, China
and Mechanics,
Shanghai University,
Shanghai 200072, China;
Shanghai Key Laboratory of Mechanics in
Energy Engineering,
Shanghai University,
Shanghai 200072, China;
Department of Mechanics,
Shanghai University,
Shanghai 200072, China
Search for other works by this author on:
Xiao-Ye Mao
Shanghai Institute of Applied Mathematics
and Mechanics,
Shanghai University,
Shanghai 200072, China
and Mechanics,
Shanghai University,
Shanghai 200072, China
Hu Ding
Shanghai Institute of Applied Mathematics
and Mechanics,
Shanghai University,
149 Yan Chang Road,
Shanghai 200072, China;
Shanghai Key Laboratory of Mechanics in
Energy Engineering,
Shanghai University,
Shanghai 200072, China
e-mail: dinghu3@shu.edu.cn
and Mechanics,
Shanghai University,
149 Yan Chang Road,
Shanghai 200072, China;
Shanghai Key Laboratory of Mechanics in
Energy Engineering,
Shanghai University,
Shanghai 200072, China
e-mail: dinghu3@shu.edu.cn
Li-Qun Chen
Shanghai Institute of Applied Mathematics
and Mechanics,
Shanghai University,
Shanghai 200072, China;
Shanghai Key Laboratory of Mechanics in
Energy Engineering,
Shanghai University,
Shanghai 200072, China;
Department of Mechanics,
Shanghai University,
Shanghai 200072, China
and Mechanics,
Shanghai University,
Shanghai 200072, China;
Shanghai Key Laboratory of Mechanics in
Energy Engineering,
Shanghai University,
Shanghai 200072, China;
Department of Mechanics,
Shanghai University,
Shanghai 200072, China
1Corresponding author.
Manuscript received September 11, 2018; final manuscript received November 15, 2018; published online December 7, 2018. Assoc. Editor: Ahmet S. Yigit.
J. Appl. Mech. Feb 2019, 86(2): 021006 (11 pages)
Published Online: December 7, 2018
Article history
Received:
September 11, 2018
Revised:
November 15, 2018
Citation
Mao, X., Ding, H., and Chen, L. (December 7, 2018). "Nonlinear Torsional Vibration Absorber for Flexible Structures." ASME. J. Appl. Mech. February 2019; 86(2): 021006. https://doi.org/10.1115/1.4042045
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