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Horizontal pendulum with sudden changes in platform tilt

Publication ,  Journal Article
McGehee, CC; Ballard, ZC; Mann, BP
Published in: Proceedings of the ASME Design Engineering Technical Conference
December 1, 2011

The equations of motion for a horizontal pendulum mounted to a rocking platform are developed. Equilibrium conditions are found as a function of the platform tilt angle. The equations are transformed to describe motion about the shifting equilibrium point, and an approximation for the amplitude and phase correction of the solution is developed using the method of averaging. This approximation is used to construct an iterative map that describes the pendulum angle and rotational velocity between each instance of platform rocking. Approximate analytical solutions are compared to numerical and experimental results, and ongoing work is discussed. © 2011 by ASME.

Duke Scholars

Published In

Proceedings of the ASME Design Engineering Technical Conference

DOI

Publication Date

December 1, 2011

Volume

1

Issue

PARTS A AND B

Start / End Page

439 / 448
 

Citation

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McGehee, C. C., Ballard, Z. C., & Mann, B. P. (2011). Horizontal pendulum with sudden changes in platform tilt. Proceedings of the ASME Design Engineering Technical Conference, 1(PARTS A AND B), 439–448. https://doi.org/10.1115/DETC2011-48423
McGehee, C. C., Z. C. Ballard, and B. P. Mann. “Horizontal pendulum with sudden changes in platform tilt.” Proceedings of the ASME Design Engineering Technical Conference 1, no. PARTS A AND B (December 1, 2011): 439–48. https://doi.org/10.1115/DETC2011-48423.
McGehee CC, Ballard ZC, Mann BP. Horizontal pendulum with sudden changes in platform tilt. Proceedings of the ASME Design Engineering Technical Conference. 2011 Dec 1;1(PARTS A AND B):439–48.
McGehee, C. C., et al. “Horizontal pendulum with sudden changes in platform tilt.” Proceedings of the ASME Design Engineering Technical Conference, vol. 1, no. PARTS A AND B, Dec. 2011, pp. 439–48. Scopus, doi:10.1115/DETC2011-48423.
McGehee CC, Ballard ZC, Mann BP. Horizontal pendulum with sudden changes in platform tilt. Proceedings of the ASME Design Engineering Technical Conference. 2011 Dec 1;1(PARTS A AND B):439–448.

Published In

Proceedings of the ASME Design Engineering Technical Conference

DOI

Publication Date

December 1, 2011

Volume

1

Issue

PARTS A AND B

Start / End Page

439 / 448