Static and Dynamic Analysis of Annular Sector Plates Subjected to Arbitrary Boundary Conditions


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In this investigation, an improved Fourier series method (IFSM) is employed to predict the static and dynamic characteristics of annular sector plates with arbitrary boundary conditions. Regardless of boundary supports, the displacement function is invariantly expressed as a modified two-dimensional Fourier series containing sine and cosine function. It is capable of dealing with the possible discontinuities at elastic boundary edges. The unknown Fourier coefficients are treated as generalized coordinates, and determined using Rayleigh-Ritz method. Unlike most of the existing solution techniques, the current approach can be universally applied to a variety of edge restraints including all classical cases and their combinations. The accuracy and reliability of the current method are fully illustrated through all the numerical examples.



Edited by:

Li Qiang




K. P. Zhang et al., "Static and Dynamic Analysis of Annular Sector Plates Subjected to Arbitrary Boundary Conditions", Applied Mechanics and Materials, Vol. 624, pp. 240-244, 2014

Online since:

August 2014




* - Corresponding Author

[1] A. W. Leissa, Vibration of plates, U. S. Government Printing Office, Washington, D C, (1973).

[2] M G Qian, Solution of annular sector plate resting on two-parameter foundation by Fourier series, J. Beijing Institute of Civil Eng. and Arch. 20 (1973) 57-60.

[3] M M Aghdam, M Mohammadi, V Erfanian, Bending analysis of thin annular sector plates using extended Kantorovich method, Thin-Walled Struct. 45 (2007) 983-990.


[4] W. L. Li, Free vibrations of beams with general boundary conditions, J. Sound Vib. 237 (2000) 709-725.

[5] D. Y. Shi, X. J. Shi, W. L. Li, Q. S. Wang, Free transverse vibrations of orthotropic rectangular plates with arbitrary elastic boundary conditions, J. Vibroeng. 16 (2014) 389-398.

[6] W. L. Li, Vibrations of circular cylindrical shells with general elastic boundary restraints, J. Vib. Acoust. –Trans. ASME. 135 (2013) 024501-1-12.


[7] D. Y. Shi, X. J. Shi, Q. S. Wang, W. L. Li, J. J. Gu, Vibration analysis of a T-coupled plate structure, J. Vib. Shock. 33 (2014) 185-189+198.