VIBRATIONS OF CIRCULAR TUBES AND SHELLS FILLED AND PARTIALLY IMMERSED IN DENSE FLUIDS

✍ Scribed by M. Amabili

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 206 KB
• Volume: 221
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1998.2050

✦ Synopsis

Free vibrations of circular cylindrical shells and tubes completely ®lled with a dense ¯uid and partially immersed in a dierent ¯uid (liquid) having a free surface are studied. Elastic shell constraints, varying from simply supported to clamped ends are assumed. Fluids are assumed to be stationary, inviscid and incompressible. The ¯uid outside the shell is assumed to be unlimited in the radial direction and limited in the vertical direction by a rigid bottom and a free surface. The eect of free surface waves is considered, so that both sloshing and bulging modes of the system are investigated. A velocity potential is used to describe the ¯uid oscillations, and the Rayleigh±Ritz method has been extended to the case of ¯uid±structure interaction to obtain the solution of the coupled system.