Coupled thermo-electro-elastic forced vibrations of piezoelectric laminated beams by means of Green's functions

Increased interest in thermo-electro-elastic during the last decades can be assigned to the fact that the study of thermo-electro-elastic mechanical coupled behavior in smart structure. For instance, the coupled thermo-electroelastic dynamic factors are meaningful in designing process of some sensors and energy harvesting products. This paper presents the steady-state analytical solutions for the coupled thermo-electro-elastic forced vibrations of piezoelectric laminated beams. Two types of damping, material damping and air damping, are introduced to the coupled vibration system. Based on Erturk and Inman' work, a novel electric circuit model is developed. Thus, for this model, the electric factor is introduced into the classical coupled thermoplastic vibration problems for the piezoelectric laminated beams. Using the decoupled method solve the three fields of coupling problems by developing a generalized form of Green's functions. The interactions between the thermal and electric factors are obtained analytically. The convergence of the present solutions is firstly verified in the numerical section followed by the FEM results used to validate the achieved solutions. From the sample numerical calculations, it is seen that the two-dimensional temperature field presents different distributions for different electric conditions. Moreover, the optimum heat transfer coefficient is furnished for the energy harvesting problem of the laminated beam.