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| NONLINEAR DYNAMIC RESPONSE OF SIMPLY-SUPPORTED FUNCTIONALLY GRADED RECTANGULAR PLATES |
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Abstract The nonlinear dynamic response of simply-supported functionally graded rectangular plates subjected to a transverse harmonic excitation is studied. Equivalent material properties of functionally graded material are described as power-law distribution functions. The ordinary differential governing equation for generalized coordinate of system is deduced based on the Galerkin method. Using averaging method, the amplitude-frequency response of system is obtained, and the nonlinear principal resonance of functionally graded rectangular thin plates is analyzed. Numerical example validates the averaging method; the multivaluedness and jump phenomenon in principal resonance response of functionally graded plates are revealed. Meanwhile, it is found that the initial conditions may change the response amplitude of principal resonance of functionally graded plates. Finally, the effect of power-law exponent of functionally graded material on the response amplitude of system is discussed.
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Received: 16 May 2012
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2013, Vol. 34 
