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A driven system of impacting pendulums: Experiments and simulations

Publication ,  Journal Article
Witelski, T; Virgin, LN; George, C
Published in: Journal of Sound and Vibration
March 17, 2014

This paper studies a system composed of two pendulums attached to a common base that is oscillated horizontally. The pendulums share a common pivot line, but move independently and are only coupled together through collisions. Impact dynamics for the collisions of the pendulums with each other and with fixed barriers yield complex nonlinear behaviors. Careful numerical simulation of the equations of motion demonstrates a close correlation with experimental data collected from the system. There are many independent parameters in this system, and one of the motivations for the present study is to establish the extent to which we can capture observed behavior with a relatively simple hybrid differential equation model in the face of several independent energy dissipation mechanisms coming from friction and impact. Comparison between experiments and simulations is based on the standard nonlinear dynamical system analyses of time series, phase projections, time-lag embedding, Poincaré sections, and frequency content. Grazing bifurcations and co-existence of impacting/non-impacting periodic/chaotic states are observed. © 2013 Elsevier Ltd.

Duke Scholars

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

March 17, 2014

Volume

333

Issue

6

Start / End Page

1734 / 1753

Related Subject Headings

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

Citation

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Witelski, T., Virgin, L. N., & George, C. (2014). A driven system of impacting pendulums: Experiments and simulations. Journal of Sound and Vibration, 333(6), 1734–1753. https://doi.org/10.1016/j.jsv.2013.11.004
Witelski, T., L. N. Virgin, and C. George. “A driven system of impacting pendulums: Experiments and simulations.” Journal of Sound and Vibration 333, no. 6 (March 17, 2014): 1734–53. https://doi.org/10.1016/j.jsv.2013.11.004.
Witelski T, Virgin LN, George C. A driven system of impacting pendulums: Experiments and simulations. Journal of Sound and Vibration. 2014 Mar 17;333(6):1734–53.
Witelski, T., et al. “A driven system of impacting pendulums: Experiments and simulations.” Journal of Sound and Vibration, vol. 333, no. 6, Mar. 2014, pp. 1734–53. Scopus, doi:10.1016/j.jsv.2013.11.004.
Witelski T, Virgin LN, George C. A driven system of impacting pendulums: Experiments and simulations. Journal of Sound and Vibration. 2014 Mar 17;333(6):1734–1753.
Journal cover image

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

March 17, 2014

Volume

333

Issue

6

Start / End Page

1734 / 1753

Related Subject Headings

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