In:
Journal of Fluid Mechanics, Cambridge University Press (CUP), Vol. 183 ( 1987-10), p. 543-565
Abstract:
Surface waves in a rectangular container subjected to vertical oscillations are studied. Effects of energy dissipation along the lines of Miles (1967) and the effect of surface tension are included. Sufficient conditions, for two modes to dominate the motion, are given. The analysis is along the lines of Miles (1984a) and Holmes (1986). A complete bifurcation analysis is performed, and the modal amplitudes and phases are shown to have chaotic behaviour. This result is obtained under assumptions different from those of Holmes (1986). The conclusions regarding chaotic motions are based on a theorem of šilnikov (1970).
Type of Medium:
Online Resource
ISSN:
0022-1120
,
1469-7645
DOI:
10.1017/S0022112087002751
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
1987
detail.hit.zdb_id:
1472346-3
detail.hit.zdb_id:
218334-1
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