A numerical approach to the static analysis of an annular sector mindlin plate with applications to bevel gear design

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

“…Thrust bearing pads are simulated as annular sector plates on foundation [3]. Spur and helical gear teeth are studied by using variable thickness rectangular plates, while bevel gear teeth are idealized as annular sector plates [4]. Highway and airfield pavement systems are analyzed by employing rectangular plates on elastic foundation [5].…”

A load distribution model for hypoid gears using ease-off topography and shell theory

“…All of these analytical compliance methods were valid for teeth having constant height along its face width and either constant or linearly varying thickness along its profile, which is not the case for hypoid gears. Vaidyanathan et al [36,37] proposed an analytical compliance model for a tooth with linearly varying thickness in the profile and lengthwise directions as well as linearly varying tooth height along the face width. His Rayleigh-Ritz based formulation used polynomial shape functions and was applied to both sector and shell geometries.…”

Free vibration of thick annular sector plate on Pasternak foundation with general boundary conditions

“…Liew and Liu [20] studied the free vibration analysis of moderately thick annular sector plates with classical boundary conditions by the differential quadrature method based on the first-order shear deformation theory. Vaidyanathan et al [21] applied the Rayleigh-Ritz method to study the static analysis of the annular sector mindlin plate. Mizusawa [22] used the finite element method to study the natural frequencies of thick annular sector plates.…”