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On the stability of forced radial oscillations of an experimental spring pendulum

Publication ,  Journal Article
Bayly, PV; Virgin, LN
Published in: American Society of Mechanical Engineers, Design Engineering Division (Publication) DE
December 1, 1993

The elastic pendulum is a 2-degree-of-freedom, non-linear device in which the pendulum bob may slide up and down the pendulum arm subject to the restoring force of a linear spring. In this study, radial motion (motion along the arm) is excited directly. Responses to this excitation include purely radial oscillations as well as swinging motion due to a 2:1 internal resonance. Changes in the behavior of the nonlinear spring pendulum occur when, under the control of a parameter, radial oscillations become unstable and are replaced by radial plus swinging motion. This bifurcation is explored analytically, numerically and experimentally, using the basic ideas of Floquet theory. Poincare sampling is used to reduce the problem of describing the stability of a limit cycle to the easier task of defining the stability of the fixed point of a Poincare map.

Duke Scholars

Published In

American Society of Mechanical Engineers, Design Engineering Division (Publication) DE

Publication Date

December 1, 1993

Volume

56

Start / End Page

229 / 236

Related Subject Headings

  • Acoustics
 

Citation

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Bayly, P. V., & Virgin, L. N. (1993). On the stability of forced radial oscillations of an experimental spring pendulum. American Society of Mechanical Engineers, Design Engineering Division (Publication) DE, 56, 229–236.
Bayly, P. V., and L. N. Virgin. “On the stability of forced radial oscillations of an experimental spring pendulum.” American Society of Mechanical Engineers, Design Engineering Division (Publication) DE 56 (December 1, 1993): 229–36.
Bayly PV, Virgin LN. On the stability of forced radial oscillations of an experimental spring pendulum. American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. 1993 Dec 1;56:229–36.
Bayly, P. V., and L. N. Virgin. “On the stability of forced radial oscillations of an experimental spring pendulum.” American Society of Mechanical Engineers, Design Engineering Division (Publication) DE, vol. 56, Dec. 1993, pp. 229–36.
Bayly PV, Virgin LN. On the stability of forced radial oscillations of an experimental spring pendulum. American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. 1993 Dec 1;56:229–236.

Published In

American Society of Mechanical Engineers, Design Engineering Division (Publication) DE

Publication Date

December 1, 1993

Volume

56

Start / End Page

229 / 236

Related Subject Headings

  • Acoustics