Effects of Thickness Variation for the Dynamic Characteristics of Annular Plates Including the Shear Deformation and Rotary Inertia

概要

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The effects of thickness variation, shear deformation and rotary inertia of annular plates are studied by deriving the equations of motion. To solve the differential equation governing the motion of annular plates the Chebyshev collocation method is employed. The dimensionless frequencies are evaluated for different values of taper constant, thickness ratio, radii ratio and power. The results of an experimental investigation are also presented, and the agreement between the experimental values and the predicted values in theory is remarkably good. As a result of this study, it is found that the effects of rotatory inertia and shear deformation reduce the natural frequencies of annular plates for three boundary conditions. This study also showed that the natural frequencies of annular plates with thickness expressed by the nth power function are higher than those by the (n-1) th power function for positive values of taper constant, and vice versa for negative values of taper constant for three boundary conditions.
一般社団法人日本機械学会の論文
2001-03-15