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Free Vibration Analysis of Orthotropic Thin Plates in General Boundary Conditions |
SHI Dongyan,WANG Qingshan,SHI Xianjie,ZHUANG Zhong |
(College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China) |
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Abstract In this paper, the free vibration characteristics of orthotropic thin plates were investigated using improved Fourier series method (IFSM). The displacement functions of flexural vibration were expressed as an improved form of Fourier series, and the sine Fourier series was introduced to eliminate all the boundary discontinuities or jumps. The expansion coefficients of the displacement function were treated as the generalized coordinates, and determined using the RayleighRitz method. The results of orthotropic thin plates in different boundary conditions were presented and checked against the results published in the literature to demonstrate the efficiency and accuracy of the present method.
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Received: 26 August 2013
Published: 26 August 2013
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