Nonlinear Vibration of Thin Elastic Plates, Part 2: Internal Resonance by Amplitude-Incremental Finite Element

[+] Author and Article Information
S. L. Lau

Department of Civil and Structural Engineering, Hong Kong Polytechnic, Hong Kong

Y. K. Cheung, S. Y. Wu

Department of Civil Engineering, University of Hong Kong, Hong Kong

J. Appl. Mech 51(4), 845-851 (Dec 01, 1984) (7 pages) doi:10.1115/1.3167735 History: Received February 01, 1984; Online July 21, 2009


The simple amplitude-incremental triangular plate element derived in Part 1 of this paper is applied to treat the large-amplitude periodic vibrations of thin elastic plates with existence of internal resonance. A simply supported rectangular plate with immovable edges (b/a = 1.5) and having linear frequencies ω13 = 3.45 ω11 is selected as a typical example. The frequency response of free vibration as well as forced vibration under harmonic excitation are computed. To the best knowledge of the authors, these very interesting results for such plate problems have not appeared in literature previously. Some special considerations to simplify and to speed up the numerical process are also discussed.

Copyright © 1984 by ASME
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