Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-18T22:15:24.120Z Has data issue: false hasContentIssue false

Resonant sloshing near a critical depth

Published online by Cambridge University Press:  26 April 2006

D. D. Waterhouse
Affiliation:
Mathematical Institute, University of Oxford, 24–29 St. Giles’, Oxford, OX1 3LB, UK

Abstract

Oscillations of a tank at a near-resonant frequency have been shown to produce a response which changes from a ‘hard-spring’ to a ‘soft-spring’ response as the depth passes through a critical value. This paper investigates the transition region and it is shown, using a symbolic manipulator, that in fact the large-amplitude response is that of a soft spring on either side of this critical depth.

Type
Research Article
Copyright
© 1994 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Fultz, D. 1962 An experimental note on finite-amplitude standing gravity waves. J. Fluid Mech. 13, 193212.Google Scholar
Jordan, D. W. & Smith, P. 1977 Nonlinear Ordinary Differential Equations. Oxford University Press.
Moiseyev, N. N. 1958 On the theory of nonlinear vibrations of a liquid. Prikl. Mat. Mech. 22, 612621.Google Scholar
Ockendon, J. R. & Ockendon, H. 1973 Resonant surface waves. J. Fluid Mech. 59, 397413.Google Scholar
Tadjbakhsh, I. & Keller, J. B. 1960 Standing surface waves of finite amplitude. J. Fluid Mech. 8, 442451.Google Scholar
Supplementary material: PDF

Waterhouse supplementary material

Supplementary Material

Download Waterhouse supplementary material(PDF)
PDF 3.1 MB