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Primary resonance suppression of a base excited oscillator using a spatially constrained system: Theory and experiment

Publication ,  Journal Article
Zhou, JW; Zhang, W; Wang, XS; Mann, BP; Dowell, EH
Published in: Journal of Sound and Vibration
March 31, 2021

This paper studies the dynamic behaviors of a magnetically coupled oscillator with two-degrees-of-freedom. For the certain parameter combinations, the target component (TC), which is excited by a base movement, enters the saturated steady-state responses. Another component, which is called as the spatially constrained system (SCS), is considered as an energy absorber pumping out of the energy from the TC under 1:3 internal resonance. The governing equations of motion are derived using a magnetic dipole model and then are solved with the method of multiple scales. The energy distributions between the TC and SCS can vary with the base movement amplitude and excitation frequency. The saturation behavior is found and used for constraining the moving amplitude of an excited system. The bifurcation diagrams reveal the complex and interesting responses when the excitation frequency and amplitude change. The results include the comparisons among the analytical predictions, numerical simulations, and experimental tests. For the purpose of suppressing the primary resonance, the present system effectively transfer the energy from the excited component. The jumping and saturation phenomena are found in the experiments and the changes in the spectrum of two steady-state responses are also observed.

Duke Scholars

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

March 31, 2021

Volume

496

Related Subject Headings

  • Acoustics
  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
 

Citation

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Zhou, J. W., Zhang, W., Wang, X. S., Mann, B. P., & Dowell, E. H. (2021). Primary resonance suppression of a base excited oscillator using a spatially constrained system: Theory and experiment. Journal of Sound and Vibration, 496. https://doi.org/10.1016/j.jsv.2020.115928
Zhou, J. W., W. Zhang, X. S. Wang, B. P. Mann, and E. H. Dowell. “Primary resonance suppression of a base excited oscillator using a spatially constrained system: Theory and experiment.” Journal of Sound and Vibration 496 (March 31, 2021). https://doi.org/10.1016/j.jsv.2020.115928.
Zhou JW, Zhang W, Wang XS, Mann BP, Dowell EH. Primary resonance suppression of a base excited oscillator using a spatially constrained system: Theory and experiment. Journal of Sound and Vibration. 2021 Mar 31;496.
Zhou, J. W., et al. “Primary resonance suppression of a base excited oscillator using a spatially constrained system: Theory and experiment.” Journal of Sound and Vibration, vol. 496, Mar. 2021. Scopus, doi:10.1016/j.jsv.2020.115928.
Zhou JW, Zhang W, Wang XS, Mann BP, Dowell EH. Primary resonance suppression of a base excited oscillator using a spatially constrained system: Theory and experiment. Journal of Sound and Vibration. 2021 Mar 31;496.
Journal cover image

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

March 31, 2021

Volume

496

Related Subject Headings

  • Acoustics
  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences