Radiative energy transfer model for high-frequency vibration analysis of functionally graded saturated porous beams

Abstract

This paper presents an efficient approach for the high-frequency response prediction of finite functionally graded (FG) saturated porous beams based on the radiative energy transfer method (RETM). So far, although extensive research has been conducted on the dynamic analysis of FG saturated porous beams, study on the high-frequency vibration characteristics remains unreported. In this paper, we fill this gap in two main aspects. First, to consider the pore pressure, we use Biot theory instead of Hook’s law to derive the motion-governing equations of FG saturated porous beam, and based on which we analyse the wave propagation characteristics of FG saturated porous beam which are important for high-frequency vibration analysis. Second, based on the RETM, we establish an energy flow model suitable for high-frequency vibration analysis of FG saturated porous beams. Numerical examples show that the proposed approach can accurately predict the energy distributions of saturated porous beams, and the effects of porosity distribution patterns, the porosity coefficient, and the Skempton coefficient on vibration responses are observed.