A radiative energy transfer model for functionally graded coupled beams

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (12) : 178-187.

WANG Xing,ZHONG Qiang,LI Ao,CHEN Haibo

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Abstract

The purpose of this study is to extend the radiative energy transfer method (RETM) to the analysis of high-frequency vibration response of functionally graded material (FGM) coupled beams. In RETM theory, the vibration response of FGM coupled beams is expressed by the energy density and power flow intensity. The vibration wave field is composed of the direct field generated by the real source of the excitation point and the reflection field generated by the virtual sources at the boundary. The kernel functions of energy density and power flow intensity are derived from the energy balance of the FGM beam element. The energy transfer coefficients between the FGM coupled beams are derived from the force balance and displacement continuity at the coupling point. The intensities of the boundary virtual sources are determined by the boundary power flow balances. Numerical results are compared with the analytical solutions calculated by the wave propagation analysis method (WPA) to verify the correctness of the proposed model. Furthermore, the influence of the gradient index n on the energy transfer coefficients and high-frequency vibration response is discussed. Simulation results show that the influence of n is mainly concentrated in the range of 0 to 1.

Key words

radiative energy transfer method / functionally graded materials / coupled beams / high-frequency vibration / energy transfer coefficients

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WANG Xing,ZHONG Qiang,LI Ao,CHEN Haibo. A radiative energy transfer model for functionally graded coupled beams[J]. Journal of Vibration and Shock, 2022, 41(12): 178-187

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