Techno Press
Techno Press

Structural Engineering and Mechanics   Volume 6, Number 8, December 1998, pages 939-953
DOI: http://dx.doi.org/10.12989/sem.1998.6.8.939
 
Vibration, buckling and dynamic stability of a cantilever rectangular plate subjected to in-plane force
K. Takahashi, M. Wu and S. Nakazawa

 
Abstract     [Full Text]
    Vibration, buckling and dynamic stability of a cantilever rectangular plate subjected to an in-plane sinusoidally varying load applied along the free end are analyzed. The thin plate small deflection theory is used. The Rayleigh-Ritz method is employed to solve vibration and buckling of the plate. The dynamic stability problem is solved by using the Hamilton principle to drive time variables. The resulting time variables are solved by the harmonic balance method. Buckling properties and natural frequencies of the plate are shown at first. Unstable regions are presented for various loading conditions. Simple parametric resonances and combination resonances with sum type are obtained for various loading conditions, static load and damping.
 
Key Words
    dynamic stability, cantilever rectangular plate, vibration, buckling.
 
Address
Takahashi K, Nagasaki Univ, Dept Civil Engn, 1-14 Bunkyo Machi, Nagasaki 8528131, Japan
Nagasaki Univ, Dept Civil Engn, Nagasaki 8528131, Japan
 

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