Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/15260
Title: Chaotic responses of curved plate under sinusoidal loading
Authors: Poon, WY
Ng, CF
Lee, YY
Keywords: Chaotic response
Sinusoidal loading
Issue Date: 2003
Publisher: Korean Soc Mechanical Engineers
Source: KSME international journal, 2003, v. 17, no. 1, p. 85-96 How to cite?
Journal: KSME International Journal 
Abstract: In the present investigation, the nonlinear dynamic buckling of a curved plate subjected to sinusoidal loading is examined. By the theoretical analyses, a highly nonlinear snap-through motion of a clamped-free-clamped-free plate and its effect on the overall vibration response are investigated. The problem is reduced to that of a single degree of freedom system with the Rayleigh-Ritz procedure. The resulting nonlinear governing equation is solved using Runge-Kutta (RK-4) numerical integration method. The snap-through boundaries, which vary with different damping coefficient and linear circular frequency of the flat plate are studied and given in terms of force and displacement. The relationships between static and dynamic responses at the start of a snap-through motion are also predicted. The analysis brings out various characteristic features of the phenomenon, i.e. 1) small oscillation about the buckled position-softening spring type motion, 2) chaotic motion of intermittent snap-through, and 3) large oscillation of continuous snap-through motion crossing the two buckled positions-hardening spring type. The responses of buckled plate were found to be greatly affected by the snap-through motion. Therefore, better understanding of the snap-through motion is needed to predict the full dynamic response of a curved plate.
URI: http://hdl.handle.net/10397/15260
ISSN: 1226-4865
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