Hydroelastic Vibration of Free-Edge Annular Plates

[+] Author and Article Information
M. K. Kwak

Department of Mechanical Engineering, Dongguk University, 26 Pil-Dong 3-Ga, Joong-Gu, Seoul 100-715, KOREA

M. Amabili

Department of Industrial Engineering, University of Parma, Parma 43100, Italy

J. Vib. Acoust 121(1), 26-32 (Jan 01, 1999) (7 pages) doi:10.1115/1.2893944 History: Received October 01, 1996; Online February 26, 2008


This paper is concerned with the virtual mass effect due to the presence of water on the natural frequencies of free-edge annular plates resting on free surface or completely submerged, which has never been studied theoretically. Experiments were carried out for free-edge annular plates to find the so-called nondimensionalized added virtual mass incremental factors. In this paper, theoretical nondimensional added virtual mass incremental factors are obtained by employing the Hankel transformation technique in conjunction with the Fourier-Bessel series approach. It is found that the theoretical nondimensionalized added virtual mass incremental factors for free-edge annular plates resting on free-surface agree well with experimental ones. The proposed method can be applied to different boundary conditions of plates.

Copyright © 1999 by The American Society of Mechanical Engineers
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