Analysis on the high-frequency vibration response of a functionally graded plate based on the radiative energy transfer method

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (22) : 40-48.

XU Ailin1,2，DAI Chenghao1,2，CHEN Haibo1,2

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Abstract

The purpose of this study is to generalize the radiative energy transfer method (RETM) to the functionally graded plate model to predict the high-frequency vibration response of structures. Based on the first-order shear deformation theory, the vibration governing equation of functionally graded plate is derived and the wave propagation characteristics are obtained. In this method, the energy inside the structure can be obtained by the superposition of the direct field generated by the real source and the reflection field generated by the boundary virtual sources. Below the critical frequency, the energy response is controlled by a propagating wave; while above the critical frequency, the energy response is controlled by three propagating waves. Numerical results are compared with those calculated by the modal superposition method and power flow analysis (PFA) to verify the accuracy of RETM in calculating the high-frequency vibration response of functionally graded plate under different physical parameters. The influence of shear deformation and rotational inertia on the energy response under different thickness is studied. The effects of material graded factor, structural damping and excitation frequency on high frequency vibration energy are discussed. The study shows that the change of material graded factor will lead to the change of mechanical properties of the plate, and the higher the is, the faster the energy attenuation rate and the greater the attenuation range will be.

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functionally graded plate / first-order shear deformation theory / material graded factor / radiative energy transfer method / energy flow field

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XU Ailin1,2，DAI Chenghao1,2，CHEN Haibo1,2. Analysis on the high-frequency vibration response of a functionally graded plate based on the radiative energy transfer method[J]. Journal of Vibration and Shock, 2023, 42(22): 40-48

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