3-D vibration analysis of annular sector plates using the Chebyshev–Ritz method

Three-dimensional transient analysis of functionally graded material annular sector plate under various boundary conditions

“…It is noted that the present method and Tahouneh and Yas[31]'s method are the same when calculating fundamental frequencies. The results obtained by these methods are given in It is shown that the results obtained by Zhou, et al[50]'s method, Tahouneh and Yas[31]'s method and the present method are in an excellent agreement with each other for different plate thicknesses. However, as the plate thickness increases, the difference between Mindlin solution and other solutions increases, especially for Clamped-Clamped plates.…”

“…Mcgee, et al[49] gave the fundamental frequency parameters for annular sector plates with two simply supported radial edges by classical plate theory (CPT) and Mindlin plate theory. Zhou, et al[50] and Tahouneh and Yas[31] provided the fundamental frequency parameters by employing Chebyshev-Ritz method and SSM-DQM, respectively. It is noted that the present method and Tahouneh and Yas[31]'s method are the same when calculating fundamental frequencies.…”

Free vibration analysis of laminated composite and functionally graded sector plates with general boundary conditions

“…For functionally graded sector plates of a mixture of ceramic and metal, the effective material properties are estimated by Voigt's rule of mixture: (12) where the power-law exponent p and the material parameters a, b and c determinate the material variation profile through the thickness of plate. The variation of volume fraction for different values of power-law exponent and the material parameters are illustrated in Fig.…”

“…The higher-order shear deformation theory (HSDT) [9] and three-dimensional (3-D) elasticity theory [10][11][12] can provide highly accurate solution for thick plates. In this work, the FSDT is employed to analyze the free vibration of moderately thick laminated composite and functionally graded sector plates.…”

Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation

“…As far as thick annular sector plates are concerned, free vibration analysis [78] and dynamic response [79] of thick laminated annular sector plates were studied based on a layerwise theory. Three-dimensional elasticity solutions for vibration analysis of thick homogenous isotropic [80], laminated [81], through-thickness FG [82] and 2-D FG [17] annular sector plates were presented. Another threedimensional elasticity solution for biaxial buckling analysis of FG annular sector plates fully or partially resting on foundation was recently presented by Asemi et al [83].…”