On the Free and Forced Vibration of a Plate Supporting a Freely Sloshing Surface Liquid

✍ Scribed by S.M. Soedel; W. Soedel

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 322 KB
• Volume: 171
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1994.1111

✦ Synopsis

The coupled equations of motion of plates carrying liquids, the free surfaces of which are parallel to the plate, are developed. The liquid is treated as incompressible, with free surface oscillations. For a simply supported rectangular plate, carrying liquid with reservoir conditions at its edges, a closed form solution of the natural frequencies and modes of the plate-liquid combination is developed. For each wavenumber set ((m, n)), two natural frequencies exist. The first corresponds to a liquid motion dominated natural mode, and the second, higher one to a plate motion dominated mode. The harmonic response of the plate-liquid system to a dynamic pressure distribution (and also point load) on the plate is expressed in terms of the orthogonal plate-liquid modes. Numerical examples are given.