Transient analytic and numerical results for the fluid-solid interaction of prolate spheroidal shells

Journal of the Acoustical Society of America

Volumn 99, Issue 1, 1996, Pages 392-407

  Jones Oliveira, Janet B ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ARTICLE; FORCE; FREQUENCY ANALYSIS; GEOMETRY; KINETICS; LIQUID; MATHEMATICAL ANALYSIS; MATHEMATICAL PARAMETERS; PHYSICS; PRIORITY JOURNAL; SHOCK WAVE; SOLID; STRUCTURE ANALYSIS; VIBRATION;

EID: 0030052546     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.414551     Document Type: Article

References (35)

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30. The initial conditions are implicit in the Laplace transform; they require that the normal and tangential displacements and velocities are zero for t=0, and that the incident and scattered/radiated fluid pressure fields and their first t derivatives are zero for t=0. Recall that the Laplace transform is particularly well suited to initial-value problems involving linear differential equations with constant coefficients.
31. It should be noted that this trimming procedure had little effect on the accuracy of the solution roots for the example problems presented hereafter. It was verified that the roots are quite stable against the trimming procedure. For the smaller problem, which models the most significant cross coupling, specifically that associated with the lowest modes, the roots moved by less than 1% with these simplifications. This smaller problem could be solved exactly and the results were used for verification.
32. 0 and μ=E/2(1+v). The required conversion is Ω = C(ca)√(1-v)/2.
33. The author would like to thank the Defense Nuclear Agency (DNA) for their encouragement in the pursuit of this research; the numerical work was supported in part by the DNA under Contact No. DNA001-89-C-0006 while the author worked on her dissertation at the Massachusetts Institute of Technology and was employed at the Draper Laboratory.
34. 0, which for this example is Ω = √26λ.
35. 0/2, which for this example is Ω = √13λ/2