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Static stability analysis of a floating rectangular prism

Publication ,  Conference
Sequeira, D; Mann, BP
Published in: Proceedings of the ASME Design Engineering Technical Conference
January 1, 2016

This paper examines the static stability of a floating rectangular prism. A nonlinear model is developed to determine the stability of the upright and tilted equilibria positions as a function of the vertical location of the prism's center of mass. These equilibria positions are defined by an angle of rotation and a vertical position where rotational motion is restricted to a two dimensional plane. Numerical investigations are conducted using path following continuation methods to determine equilibria solutions and evaluate stability. Bifurcation diagrams are generated that illustrate the stability of the equilibrium positions as a function of the vertical location of the center of mass. The bifurcation diagrams show complex stability behavior with many coexisting solutions.

Duke Scholars

Published In

Proceedings of the ASME Design Engineering Technical Conference

DOI

ISBN

9780791850206

Publication Date

January 1, 2016

Volume

8
 

Citation

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ICMJE
MLA
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Sequeira, D., & Mann, B. P. (2016). Static stability analysis of a floating rectangular prism. In Proceedings of the ASME Design Engineering Technical Conference (Vol. 8). https://doi.org/10.1115/DETC201659766
Sequeira, D., and B. P. Mann. “Static stability analysis of a floating rectangular prism.” In Proceedings of the ASME Design Engineering Technical Conference, Vol. 8, 2016. https://doi.org/10.1115/DETC201659766.
Sequeira D, Mann BP. Static stability analysis of a floating rectangular prism. In: Proceedings of the ASME Design Engineering Technical Conference. 2016.
Sequeira, D., and B. P. Mann. “Static stability analysis of a floating rectangular prism.” Proceedings of the ASME Design Engineering Technical Conference, vol. 8, 2016. Scopus, doi:10.1115/DETC201659766.
Sequeira D, Mann BP. Static stability analysis of a floating rectangular prism. Proceedings of the ASME Design Engineering Technical Conference. 2016.

Published In

Proceedings of the ASME Design Engineering Technical Conference

DOI

ISBN

9780791850206

Publication Date

January 1, 2016

Volume

8