Yuto Nakaya, Yuto
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Vibrational analysis of Levy type plates by using SEM Nakaya, Yuto; Kiryu, Shota; Sthenly Gan, Buntara
Journal of Advanced Civil and Environmental Engineering Vol 1, No 1 (2018)
Publisher : Universitas Islam Sultan Agung

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Abstract

The use of the frequency-dependent spectral method in structural dynamics related problems is known to provide very accurate solutions while reducing the number of degree-of-freedom to resolve the computational and cost setbacks.This paper investigated the vibrational characteristics of a rigid rectangular pavement road which is modeled by an orthotropic Levy type rectangular thick plates. The Spectral Element Method (SEM) in the frequency domain is developed to formulate the free vibration problems of the plate. Transcendental stiffness matrices are well established in vibration, having been derived from the exact analytical solutions of the differential equations for plate element. The present spectral element model has four line-type degree-of-freedoms (DOF) on each edge of the Levy-type rectangular plate. Natural frequencies are found using the Wittrick-Williams algorithm.Numerical examples are given to show the effectiveness, efficiency and accuracy of the SEM, unlike the FEM, the SEM gives exact solutions of the natural frequencies of plates without element discretization procedures.