An Analytical and Numerical Study of the Forced Vibration of a Spherical Cavity

Forbes L.K. (1994) An Analytical and Numerical Study of the Forced Vibration of a Spherical Cavity. Journal of Sound and Vibration, 172 4: 471-489. doi:10.1006/jsvi.1994.1190


Author Forbes L.K.
Title An Analytical and Numerical Study of the Forced Vibration of a Spherical Cavity
Journal name Journal of Sound and Vibration   Check publisher's open access policy
ISSN 0022-460X
Publication date 1994-05-12
Sub-type Article (original research)
DOI 10.1006/jsvi.1994.1190
Volume 172
Issue 4
Start page 471
End page 489
Total pages 19
Subject 2200 Engineering
2210 Mechanical Engineering
Abstract Forced motion of a spherical bubble in an incompressible viscous fluid is considered. The system is assumed to be governed by the Rayleigh-Plesset equation, and the forcing occurs by means of a harmonically varying pressure field at infinity. A perturbation solution is presented, which extends previously published results in that it gives a complete qualitative description of the behaviour near the primary resonance, as well as for all the superharmonic and subharmonic resonances. These low order results are confirmed and extended to large amplitude motion by means of a numerical shooting algorithm. The method is capable of computing stable and unstable periodic solutions with equal ease, and it determines the stability automatically by using a numerical implementation of Floquet theory. The application of this numerical method to a non-analytical model of bubble behaviour is briefly discussed.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
 
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