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Stability of a pivoting fluid-filled container

Publication ,  Journal Article
Sah, SM; Mann, BP
Published in: Proceedings of the ASME Design Engineering Technical Conference
December 1, 2011

This paper investigates the stability of a pivoting cylindrical container that is slowly filled with fluid. The stability of the upright and tilt angle equilibria is studied by using the Lagrange-Dirichlet theorem. The potential energy of the system is given for two regions that are delimited by an edge angle, and two spill angles. A bifurcation diagram is obtained showing the stability of the upright and tilt angle equilibria as function of both the fluid height in the container and the pivot location. In particular, it is shown that the upright angle equilibrium undergoes a pitchfork bifurcation and it is also found that two stable equilibria may coexist for some fluid heights and pivot point location. © 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

747 / 754
 

Citation

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ICMJE
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Sah, S. M., & Mann, B. P. (2011). Stability of a pivoting fluid-filled container. Proceedings of the ASME Design Engineering Technical Conference, 1(PARTS A AND B), 747–754. https://doi.org/10.1115/DETC2011-47997
Sah, S. M., and B. P. Mann. “Stability of a pivoting fluid-filled container.” Proceedings of the ASME Design Engineering Technical Conference 1, no. PARTS A AND B (December 1, 2011): 747–54. https://doi.org/10.1115/DETC2011-47997.
Sah SM, Mann BP. Stability of a pivoting fluid-filled container. Proceedings of the ASME Design Engineering Technical Conference. 2011 Dec 1;1(PARTS A AND B):747–54.
Sah, S. M., and B. P. Mann. “Stability of a pivoting fluid-filled container.” Proceedings of the ASME Design Engineering Technical Conference, vol. 1, no. PARTS A AND B, Dec. 2011, pp. 747–54. Scopus, doi:10.1115/DETC2011-47997.
Sah SM, Mann BP. Stability of a pivoting fluid-filled container. Proceedings of the ASME Design Engineering Technical Conference. 2011 Dec 1;1(PARTS A AND B):747–754.

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

747 / 754