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

The purpose of this study is to generalize the radiative energy transfer method (RETM) to a 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 the functionally graded plate was derived and the wave propagation characteristics were obtained. In the method, the energy inside the structure was obtained by 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 was controlled by a propagating wave; while above the critical frequency, the energy response was controlled by three propagating waves. The numerical results were compared with those calculated by the modal superposition method and power flow analysis to verify the accuracy of RETM in calculating the high-frequency vibration response of the functionally graded plate with different physical parameters. The influences of shear deformation and rotational inertia of the plates with different thickness on the energy response were studied. The effects of material graded factor, structural damping and excitation frequency on high frequency vibration energy were discussed. The study shows that the change of material graded factorwill lead to the change of mechanical properties of the plate, and the higher theis, the faster the energy attenuation rate and the greater the attenuation range will be. © 2023 Chinese Vibration Engineering Society. All rights reserved.