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
APA
Chicago
ICMJE
MLA
NLM
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