(1)A unified solution method for free vibration analysis of functionally graded rotating type plates with elastic boundary condition
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Poknam Hana, Gangchol Lib, Kwanghun Kimc,∗, Kwangil And, Hoyong Yund
a Technology College of Ship and Ocean Technology, Kim Chaek University of Technology, Pyongyang 950003, Democratic People’s Republic of Korea
b Department of Light Industry Machinery Engineering, Pyongyang University of Mechanical Engineering, Pyongyang 999093, Democratic People’s Republic
of Korea
c Department of Mechanical Engineering, Pyongyang University of Mechanical Engineering, Pyongyang, 999093, Democratic People’s Republic of Korea
d Information Center, Kim Chaek University of Technology, Pyongyang 950003, Democratic People’s Republic of Korea
Received 25 May 2020; received in revised form 19 June 2020; accepted 19 June 2020
Available online 18 July 2020
Abstract
In this paper, a unified solution method for analyzing the free vibration characteristics of functionally graded rotating type plate (FGRTP)
of which the distribution of material is defined by four parameters is presented. It is assumed that the considered functionally graded
materials (FGM) are distributed in the thickness direction according to four parameters. The displacement fields of any point on the FGRTP
are determined by the first order shear deformation theory (FSDT), and all displacement functions are extended by ultraspherical polynomial.
By applying the Ritz method to the energy function of the whole system, the constitutive equation of FGRTP is obtained and the natural
frequencies are obtained by solving the eigenvalue problem. The boundary conditions are generalized to arbitrary boundary conditions by
artificial elastic technique. The accuracy of the proposed method is verified by comparing with the previous literatures. The effects of different
parameters on the free vibration characteristics of FGRTP are studied through some numerical examples.
© 2020 Shanghai Jiaotong University. Published by Elsevier B.V.
This is an open access article under the CC BY-NC-ND license(http://creativecommons.org/licenses/by-nc-nd/4.0/)
Keywords: Functionally graded rotating-type plate; Free vibration; Unified solution method; Numerical analysis.