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

Publication ,  Conference
Bayly, PV; Virgin, LN
Published in: Proceedings of the ASME Design Engineering Technical Conference
January 1, 1993

The elastic pendulum is a 2-degree-of-freedom, nonlinear 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

Proceedings of the ASME Design Engineering Technical Conference

DOI

Publication Date

January 1, 1993

Volume

Part F167972-5

Start / End Page

229 / 236
 

Citation

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Bayly, P. V., & Virgin, L. N. (1993). On the stability of forced radial oscillations of an experimental spring pendulum. In Proceedings of the ASME Design Engineering Technical Conference (Vol. Part F167972-5, pp. 229–236). https://doi.org/10.1115/DETC1993-0110
Bayly, P. V., and L. N. Virgin. “On the stability of forced radial oscillations of an experimental spring pendulum.” In Proceedings of the ASME Design Engineering Technical Conference, Part F167972-5:229–36, 1993. https://doi.org/10.1115/DETC1993-0110.
Bayly PV, Virgin LN. On the stability of forced radial oscillations of an experimental spring pendulum. In: Proceedings of the ASME Design Engineering Technical Conference. 1993. p. 229–36.
Bayly, P. V., and L. N. Virgin. “On the stability of forced radial oscillations of an experimental spring pendulum.” Proceedings of the ASME Design Engineering Technical Conference, vol. Part F167972-5, 1993, pp. 229–36. Scopus, doi:10.1115/DETC1993-0110.
Bayly PV, Virgin LN. On the stability of forced radial oscillations of an experimental spring pendulum. Proceedings of the ASME Design Engineering Technical Conference. 1993. p. 229–236.

Published In

Proceedings of the ASME Design Engineering Technical Conference

DOI

Publication Date

January 1, 1993

Volume

Part F167972-5

Start / End Page

229 / 236