Abstract

Through the extension of Carrera unified formulation (CUF), the vibration equation of functionally graded material (FGM) beams in different temperature distributions is established, and the free vibration characteristics are analyzed. The material properties of FGM beams are defined by four-parameter power-law distribution and Voigt mixture law. The different temperature distributions are considered as functions of thickness. Utilizing CUF, the displacement function is constructed by Taylor polynomials and Fourier series. The vibration equation is solved by state-space method. The convergence and accuracy of the proposed method are verified by comparing with the simulation results of finite element software. The variation of material properties under different temperature distributions, as well as the influence of different factors on the vibration characteristics of FGM beams are studied.

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