TRANSVERSE VIBRATION OF THICK ANNULAR SECTOR PLATES

This paper investigates the free vibration of thick sector plates with different supporting edge conditions. The Rayleigh-Ritz procedure is used in the energy functional, which includes the effect of shear defo rmation and rotatory inertia in deriving the governing eigenvalue equa tion. Sets of mathematically complete two-dimensional polynomials (P-2 ) are used as the admissible displacement and rotational functions. A basic function (B) is introduced to satisfy the prescribed free, simpl y supported and clamped supporting edge conditions. This resulting PB- 2 Rayleigh-Ritz method is applied to obtain solutions for thick sector plates of different radii (cutout ratios), sector angles, relative th ickness ratios and with various end conditions along the radial and ci rcumferential edges. The present results, wherever possible, are compa red with existing published values from the open literature.