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http://dx.doi.org/10.12989/sem.2005.20.4.465

Free vibration of orthotropic functionally graded beams with various end conditions  

Lu, Chao-Feng (Department of Civil Engineering, Zhejiang University)
Chen, W.Q. (State Key Lab of CAD & CG, Zhejiang University, Department of Civil Engineering, Zhejiang University)
Publication Information
Structural Engineering and Mechanics / v.20, no.4, 2005 , pp. 465-476 More about this Journal
Abstract
Free vibration of orthotropic functionally graded beams, whose material properties can vary arbitrarily along the thickness direction, is investigated based on the two-dimensional theory of elasticity. A hybrid state-space/differential quadrature method is employed along with an approximate laminate model, which allows us to obtain the semi-analytical solution easily. With the introduction of continuity conditions at each fictitious interface and boundary conditions at the top and bottom surfaces, the frequency equation for an inhomogeneous beam is derived. A completely exact solution of an FGM beam with material constants varying in exponential way through the thickness is also presented, which serves a benchmark to verify the present method. Numerical results are performed and discussed.
Keywords
functionally graded beams; differential quadrature; state space method; approximate laminate model; exact solution;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By Web Of Science : 16  (Related Records In Web of Science)
Times Cited By SCOPUS : 14
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