Potential well metamorphosis of a pivoting fluid-filled container

Journal Article (Journal Article)

This paper investigates the stability of a pivoting cylindrical container that is slowly filled with fluid. The action of filling the container with fluid causes the system's potential energy to evolve and modify the stability of equilibria. We analyze the stability behavior of this system and find distinct regions where edge and spill conditions require alternative expressions for the system's potential energy. The stability of the upright and tilt angle equilibria are studied using the Lagrange-Dirichlet theorem. We provide exact expressions for the potential energy of the system and bifurcation diagrams that compactly represent the stability behavior of the upright equilibria and additionally predict the presence of non-trivial or tilted equilibria. Theoretical investigations are then compared with a series of experimental tests that validate the container upright and tilted equilibria stability. © 2012 Elsevier B.V. All rights reserved.

Full Text

Duke Authors

Cited Authors

  • Sah, SM; Mann, BP

Published Date

  • October 1, 2012

Published In

Volume / Issue

  • 241 / 19

Start / End Page

  • 1660 - 1669

International Standard Serial Number (ISSN)

  • 0167-2789

Digital Object Identifier (DOI)

  • 10.1016/j.physd.2012.07.001

Citation Source

  • Scopus