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
APA
Chicago
ICMJE
MLA
NLM
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