In this paper, time-delayed feedback (TD-FB) control is introduced for a nonlinear vibration isolator (NL-VI), and the isolation effectiveness features are investigated theoretically and experimentally. In the feedback control loop, compound control with constant and variable time delays is considered. First, a stability analysis is conducted to determine the range of control parameters for stable zero equilibrium without excitation. Next, the nonlinear resonance frequency and the nonlinear vibration attenuation are studied by the method of multiple scales (MMS) to demonstrate the mechanism of TD-FB control. The results of the nonlinear vibration performances show that large variable time delays can improve the vibration suppression. Additionally, the mechanism for the time delay is not only to tune the equivalent stiffness and damping but also to induce effective isolation bandgap at high frequency. Therefore, the variable time delay is assumed as the function of frequency to meet different requirements at different frequency bands. The relevant experiment verifies the improvement of designed variable time delay on isolation performances in different frequency bands. Due to the improvement of isolation performances by compound time delay feedback control on nonlinear systems, it can be applied in the fields of ships, flexible structure in aerospace and aviation.
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April 2019
Research-Article
Dynamics and Realization of a Feedback-Controlled Nonlinear Isolator With Variable Time Delay
Xiuting Sun,
Xiuting Sun
School of Mechanical Engineering,
University of Shanghai for Science and
Technology,
516 JunGong Road,
Shanghai 200093, China
e-mail: sunxiuting@usst.edu.cn
University of Shanghai for Science and
Technology,
516 JunGong Road,
Shanghai 200093, China
e-mail: sunxiuting@usst.edu.cn
Search for other works by this author on:
Feng Wang,
Feng Wang
School of Aerospace Engineering and
Applied Mechanics,
Tongji University,
Shanghai 200092, China
e-mail: 15wangfeng@tongji.edu.cn
Applied Mechanics,
Tongji University,
1239 Siping Road
,Shanghai 200092, China
e-mail: 15wangfeng@tongji.edu.cn
Search for other works by this author on:
Jian Xu
Jian Xu
School of Aerospace Engineering and
Applied Mechanics,
Tongji University,
Shanghai 200092, China
e-mail: xujian@tongji.edu.cn
Applied Mechanics,
Tongji University,
1239 Siping Road
,Shanghai 200092, China
e-mail: xujian@tongji.edu.cn
Search for other works by this author on:
Xiuting Sun
School of Mechanical Engineering,
University of Shanghai for Science and
Technology,
516 JunGong Road,
Shanghai 200093, China
e-mail: sunxiuting@usst.edu.cn
University of Shanghai for Science and
Technology,
516 JunGong Road,
Shanghai 200093, China
e-mail: sunxiuting@usst.edu.cn
Feng Wang
School of Aerospace Engineering and
Applied Mechanics,
Tongji University,
Shanghai 200092, China
e-mail: 15wangfeng@tongji.edu.cn
Applied Mechanics,
Tongji University,
1239 Siping Road
,Shanghai 200092, China
e-mail: 15wangfeng@tongji.edu.cn
Jian Xu
School of Aerospace Engineering and
Applied Mechanics,
Tongji University,
Shanghai 200092, China
e-mail: xujian@tongji.edu.cn
Applied Mechanics,
Tongji University,
1239 Siping Road
,Shanghai 200092, China
e-mail: xujian@tongji.edu.cn
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 19, 2018; final manuscript received August 28, 2018; published online October 23, 2018. Assoc. Editor: Stefano Lenci.
J. Vib. Acoust. Apr 2019, 141(2): 021005 (13 pages)
Published Online: October 23, 2018
Article history
Received:
June 19, 2018
Revised:
August 28, 2018
Citation
Sun, X., Wang, F., and Xu, J. (October 23, 2018). "Dynamics and Realization of a Feedback-Controlled Nonlinear Isolator With Variable Time Delay." ASME. J. Vib. Acoust. April 2019; 141(2): 021005. https://doi.org/10.1115/1.4041369
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