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Nonlinear Response of Clamped Circular Plates Subjected to Transverse Excitation Load

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Abstract:

Based on the von Kármán classical nonlinear plate theory, nonlinear axisymmetric vibrations of a clamped thin circular plate subjected to transverse harmonic load are investigated. Effects of static deformation on the vibration responses are considered. Harmonic motion is assumed. The time variable is eliminated and the partial differential equations are converted into a system of nonlinear ordinary differential equations by employing a Kantorovich time averaging method. The resulting nonlinear ordinary differential boundary-value problem is solved numerically by using shooting method. Effects of static-dynamic load on the transverse deflection, frequencies and amplitudes are examined in details. The resonance phenomenon is discussed emphatically.

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Periodical:

Key Engineering Materials (Volumes 353-358)

Pages:

2720-2723

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.353-358.2720

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Online since:

September 2007

Authors:

Yong Gang Zhao, Wei Dong Zhao, Shi Rong Li, Lian Sheng Ma

Keywords:

Circular Plate, Natural Frequency, Non-Linear Forced Vibration, Resonance

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© 2007 Trans Tech Publications Ltd. All Rights Reserved

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