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Bifurcations of a planar pendulum driven at a tilted angle

Publication ,  Journal Article
Koplow, MA; Mann, BP
Published in: Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005
January 1, 2005

This paper examines the bifurcation behavior of a planar pendulum subjected to high-frequency parametric excitation along a tilted angle. Analytical and numerical results show that small deviations from either a perfectly vertical or horizontal excitation will result in symmetry breaking bifurcations. This behavior is confirmed through a series of experimental tests. Additionally, a multiple scales analysis is used to obtain an approximate solution for the free oscillations of a viscously damped planar pendulum. System identification is performed by comparing the approximate solution to transient experimental data. Copyright © 2005 by ASME.

Duke Scholars

Published In

Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005

DOI

Publication Date

January 1, 2005

Volume

6 B

Start / End Page

1111 / 1121
 

Citation

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Koplow, M. A., & Mann, B. P. (2005). Bifurcations of a planar pendulum driven at a tilted angle. Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005, 6 B, 1111–1121. https://doi.org/10.1115/detc2005-84583
Koplow, M. A., and B. P. Mann. “Bifurcations of a planar pendulum driven at a tilted angle.” Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005 6 B (January 1, 2005): 1111–21. https://doi.org/10.1115/detc2005-84583.
Koplow MA, Mann BP. Bifurcations of a planar pendulum driven at a tilted angle. Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005. 2005 Jan 1;6 B:1111–21.
Koplow, M. A., and B. P. Mann. “Bifurcations of a planar pendulum driven at a tilted angle.” Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005, vol. 6 B, Jan. 2005, pp. 1111–21. Scopus, doi:10.1115/detc2005-84583.
Koplow MA, Mann BP. Bifurcations of a planar pendulum driven at a tilted angle. Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005. 2005 Jan 1;6 B:1111–1121.

Published In

Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005

DOI

Publication Date

January 1, 2005

Volume

6 B

Start / End Page

1111 / 1121