Modal Analysis of Thin Circular Plate with Elastic Edge Supports

概要

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This paper describes about a natural frequency and a mode of vibration of a circular plate with various boundary conditions. The circular plate is supported by linear and torsional springs uniformly distributed around its edge, and the boundary conditions can be changed by variable spring stiffness. An analysis is achieved by using the Rayleigh-Ritz method assuming that an admissible function for the plate can be expressed by a polynomial expression about a surface displacement. The natural frequency of the plate decreases with relaxing restraint to the clamped condition. The variation of the natural frequency and the range of the spring stiffness are enlarged in the higher order mode. These tendencies are influenced by linear stiffness greater than by torsional stiffness. Next, the mode of vibration depends on the behavior near the edge. Locations of nodal circles are shifted to the edge by relaxing restraint, so that the shifts and the differences between the modes are related to the natural frequency. However, the magnitudes of the shifts don't depend on the absolute variation of the natural frequency but on the variation rate.
東海大学の論文