Vibration power flow analysis of functionally graded rectangular plates

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (16) : 187-191.

ZHANG Ling, ZHU Xiang, LI Tian-yun, YIN Xue-ji

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Abstract

According to the basic dynamic equation of FGM rectangular plate, the transverse vibration response under harmonic excitation force was obtained based on modal superposition method. Combined with structural vibration power flow equation, the power flow analysis of the FGM rectangular plate was carried out.In the numerical example, the natural frequency of a FGM rectangular plate was firstly calculated, the theoretical solution was comparied with the FEM solution, which shows a good agreement. Then the input power flow of a FGM rectangular plate was analyzed, and the effect of different gradient indexs on the input power flows was discussed. And the propagation characteristics of the power flow in a FGM plate was analyzed through the visualization method, a FGM plate was described by the power flow vector and flow chart.

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/ functionally graded materials / rectangular plate / vibration power flow / modal superposition

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ZHANG Ling, ZHU Xiang, LI Tian-yun, YIN Xue-ji. Vibration power flow analysis of functionally graded rectangular plates[J]. Journal of Vibration and Shock, 2016, 35(16): 187-191

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