Hygrothermoelastic damping of beam resonators with non-Fourier and non-Fick effects

Abstract

In heat and moisture environments, the coupling effects of temperature and moisture on the vibration of structures play a significant role. In this paper, a coupled hygrothermoelastic model with non-Fourier and non-Fick effects is established by introducing relaxation times or phase lags of heat flux and moisture flux. The hygrothermoelastic damping behaviors and hygrothermal distributions of an Euler–Bernoulli beam with rectangular cross-section are analyzed and an explicit formula is derived by mode analysis. The distribution of hygrothermal fields are also obtained in time domain. Numerical results are analyzed for various aspect ratios and different end supports. The effects of relaxation times of both heat and moisture flux on the damping and frequency shift of slender hygrothermoelastic beams are illustrated graphically. The obtained numerical results imply that the presence of moisture enlarges the damping of the beams and leads to more energy dissipation. Compared with the non-Fourier effect, the non-Fick effect or the relaxation time of moisture flux nearly does not affect the damping and frequency shift.