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Pendulum models of ponytail motion during walking and running

Publication ,  Journal Article
Plaut, RH; Virgin, LN
Published in: Journal of Sound and Vibration
August 5, 2013

Steady-state motions of a woman's ponytail during level, straight, walking and running are examined. Based on reported data, formulas have been developed for the relationship of the forward speed to the frequencies of vertical and sideways motion of the head, and of the form of that motion. The ponytail is modeled as a compound pendulum or a multi-bar pendulum with 2, 3, or 5 rigid bars. Motions in the vertical plane perpendicular to the direction of progression are analyzed. Rotational springs and dashpots are placed at the joints, and aerodynamic damping (air drag) is included. Attention is focused on the variation of the amplitudes of the bars as the woman's walking speed and then running speed increase. An example of three-dimensional motions of a spherical-pendulum model also is included. Experiments were conducted on a double pendulum with parabolic applied motion at the top. The damping is modeled by rotational friction (i.e., a constant resisting moment at the top and internal joints), and the numerical results agree well with the test data. © 2013 Elsevier Ltd.

Duke Scholars

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

August 5, 2013

Volume

332

Issue

16

Start / End Page

3768 / 3780

Related Subject Headings

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

Citation

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Plaut, R. H., & Virgin, L. N. (2013). Pendulum models of ponytail motion during walking and running. Journal of Sound and Vibration, 332(16), 3768–3780. https://doi.org/10.1016/j.jsv.2013.02.016
Plaut, R. H., and L. N. Virgin. “Pendulum models of ponytail motion during walking and running.” Journal of Sound and Vibration 332, no. 16 (August 5, 2013): 3768–80. https://doi.org/10.1016/j.jsv.2013.02.016.
Plaut RH, Virgin LN. Pendulum models of ponytail motion during walking and running. Journal of Sound and Vibration. 2013 Aug 5;332(16):3768–80.
Plaut, R. H., and L. N. Virgin. “Pendulum models of ponytail motion during walking and running.” Journal of Sound and Vibration, vol. 332, no. 16, Aug. 2013, pp. 3768–80. Scopus, doi:10.1016/j.jsv.2013.02.016.
Plaut RH, Virgin LN. Pendulum models of ponytail motion during walking and running. Journal of Sound and Vibration. 2013 Aug 5;332(16):3768–3780.
Journal cover image

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

August 5, 2013

Volume

332

Issue

16

Start / End Page

3768 / 3780

Related Subject Headings

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