DYNAMICS OF A CONCENTRICALLY OR ECCENTRICALLY SUBMERGED CIRCULAR CYLINDRICAL SHELL IN A FLUID-FILLED CONTAINER

✍ Scribed by KYEONG-HOON JEONG

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 258 KB
• Volume: 224
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1999.2209

✦ Synopsis

A theoretical study is presented on the natural frequencies of a circular cylindrical shell concentrically or eccentrically submerged in a #uid-"lled rigid cylindrical container. In this analysis, it is assumed that the shell is clamped at both ends, and an annulus between the shell and the rigid container is "lled with a non-viscous and compressible #uid. The velocity potential for #uid motion is formulated in terms of Fourier series expansion, and the modal displacements of the shell are expanded with the "nite Fourier series using the "nite Fourier transformation. Along the contacting surface between the shell and #uid, the compatibility requirement is applied for #uid}structure interaction. In order to consider eccentricity between the axes of the shell and the container, an additional shifted co-ordinate system is introduced. Graf's additional theorem and Beltrami's theorem are used for the translated forms of the Bessel functions in the shifted co-ordinate system. The proposed analytical method for the concentrically submerged shell is veri"ed by observing an excellent agreement with the "nite-element analysis results. In order to evaluate the dynamic characteristics of the #uid-coupled system, the e!ects of annular #uid gap and eccentricity of the shell on the natural frequencies are investigated.