Transient analytic and numerical results for the fluid–solid interaction of prolate spheroidal shells
作者:
Janet B. Jones‐Oliveira,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1996)
卷期:
Volume 99,
issue 1
页码: 392-407
ISSN:0001-4966
年代: 1996
DOI:10.1121/1.414551
出版商: Acoustical Society of America
关键词: ANALYTICAL SOLUTION;FLUID−STRUCTURE INTERACTIONS;LAGRANGE EQUATIONS;MECHANICAL VIBRATIONS;SHELLS;SHOCK WAVES;SOUND WAVES;SPHEROIDS
数据来源: AIP
摘要:
A transient solution is presented which models the fluid–solid interaction of a thin elastic prolate spheroidal shell loaded end‐on by a nonconservative acoustic shock wave. Solutions to the Lagrangian equations of motion are provided for the normal and tangential shell displacement fields, as well as for the incident, scattered, and radiated fluid pressure fields. The explicit analytic solutions converge uniformly and absolutely to the exact solution of the actual coupled differential equations over the entire temporal and spatial domains both in the structure and in the fluid. Numerical results for the free vibrations and for the transient fluid–solid interactions of a fluid‐loaded prolate spheroidal shell are presented. As in the case for the spherical geometry, the fluid loading is shown to down shift the frequencies and to introduce additional proliferant structural frequencies. Long time history plots of the shell displacements are presented for the submerged shock‐loaded low aspect ratio case. Insights into the qualitative and quantitative effects of the fluid on the structural response are revealed.DOE−MACSYMAwas used extensively to develop and verify the solutions.
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