Complete Bifurcation Analysis of a Pendulum with a Vibrating Support

16th US National Congress of Theoretical and Applied Mechanics (USNCTAM2010): Proceedings on CD 2010
Mihails Zakrževskis, Aleksejs Klokovs

It is known, that behavior of a periodically driven damped pendulum may be very complex and sometimes with the unexpected phenomena such as stable hilltop vibrations, complex subharmonical and quasi-periodical vibrations, and different rotations [1-6]. In this paper we investigate global dynamics of a more common model then the models used in the usual previous investigations. Three cases are under consideration: a) with horizontal excitation of the vibrating support, b) with vertical excitation, c) with excitation under some angle α from the horizontal direction.

Keywords
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Zakrževskis, M., Klokovs, A. Complete Bifurcation Analysis of a Pendulum with a Vibrating Support. In: 16th US National Congress of Theoretical and Applied Mechanics (USNCTAM2010): Proceedings on CD, United States of America, Pennsylvania, 26 Jun-2 Jul., 2010. Pennsylvania: The Pennsylvania State University, 2010, pp.1-2.

Publication language
English (en)