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