Rigid-flexible coupling dynamic characteristics of a FGM thin plate undergoing large overall motions in thermal environment

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (18) : 79-88.

WANG Linjie1，LI Liang1，ZHANG Dingguo1，QIAN Zhenjie2

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Abstract

Based on the rigid-flexible coupling dynamics and thermodynamics, the dynamic model of a functional gradient material(FGM) thin plate undergoing large overall motions in thermal environment was proposed via employing Lagrange’s equations of the second kind.The deformation was discretized by the assumed mode method, and the effects of thermal strain were included in the elastic potential energy of the plate.The influences of different temperature environments and different volume fraction exponent of the FGM thin plate in the temperature field were analyzed.The simulation results with the presented dynamic equations show that the FGM plate oscillation phenomenon becomes more obvious as the temperature gradient increases.As the volume fraction increases, the amplitude of the oscillation of the FGM plate and the dimensionless natural frequency increase.

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functional gradient material plates / thermal effect / rigid-flexible coupling / dynamic modeling

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WANG Linjie1，LI Liang1，ZHANG Dingguo1，QIAN Zhenjie2. Rigid-flexible coupling dynamic characteristics of a FGM thin plate undergoing large overall motions in thermal environment[J]. Journal of Vibration and Shock, 2019, 38(18): 79-88

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