Wave propagation in piezoelectric doubly-curved panels considering thermal effects: Piezoelectricity-based synergistic effect analysi

Abstract

Doubly curved panels are widely applied in the spacecraft structural system. In the impact environment, the damage phenomenon may appear in doubly curved panels. The studies of wave propagation of piezoelectric structures effectively promote nondestructive testing technology intelligently. The wave propagation of piezoelectric doubly curved panels assembled on the visco-Pasternak foundation is investigated for the first time. Under the plane bending assumption, the reduced constitutive equations considering piezoelectric effects and thermal effects are established for the FGM core and piezoelectric layers. Within the framework of first-order shear deformation theory, the displacement fields and strain fields of spherical panels and hyperbolic parabolic panels are modeled respectively. The dynamic governing equations are derived through Hamilton's variational principle. By extending the harmonic method to the construction of displacement fields and potential fields, the dispersion relations of doubly curved panels are obtained analytically. Subsequently, the multi-order phase velocities of the spherical panels and hyperbolic parabolic panels are solved. Ultimately, the synergistic effects of piezoelectricity under different temperatures, material properties, and geometric characteristics on the first three order phase velocities are systematically discussed. In the first-order phase velocity curves, the contribution of the piezoelectric effect interacts with that of material parameters, geometric parameters, viscoelastic foundation and temperature variation, respectively. From the perspective of energy transfer, the synergistic effect mechanism induced by the piezoelectric effect is revealed. Moreover, the attenuation of flexural wave induced by the higher temperature and viscous coefficient results in the cutoff wave number of the hyperbolic parabolic panel.