Free In-Plane Vibration Analysis of Annular Plates with General Boundary Conditions

Abstract:

An analytical method is derived for the free in-plane vibration analysis of annular plates with general boundary conditions. Under this framework, all the classical homogeneous boundary conditions can be treated as the special cases when the stiffness for each restraining springs is equal to either zero or infinity. The improved Fourier series solutions for the in-plane vibrations are obtained by employing the Rayleigh-Ritz method. A numerical example is presented to demonstrate the accuracy and reliability of the current method.

• Periodical: Key Engineering Materials (Volume 572)
• Pages: 189-192
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.572.189
• Online since: September 2013
• Authors: Dong Yan Shi, Xian Jie Shi, Wen L. Li, Zheng Rong Qin
• Keywords: Annular Disk, Free In-Plane Vibration, General Boundary Conditions, Improved Fourier Series Method

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