Dynamic behavior of piezoelectric composite beams under moving loads

In this paper, dynamic behavior of multilayered beams integrated with a transducer layer of piezoelectric fiber-reinforced composite under moving oscillator of mass-spring-damper is investigated. The theoretical formulations are based on Euler-Bernoulli beam theory, and the governing equations of motion of the system are derived using the Hamilton principle. A semi-analytical method is introduced to solve the problem. First, in order to obtain time-dependent ordinary differential equations (ODE) from the governing equations, the modal expansion method is employed. Then, to solve the ODE set, the differential quadrature method is used. Results for a simply supported beam are compared with previous studies and good agreements are found. Moreover, the effects of different boundary conditions, thickness of layers, and mass, stiffness, and damping of the moving oscillator as well as fiber volume fraction on dynamic behavior of the beam are studied. Dynamic structural behavior of the beam is investigated through practical figures, which can be helpful for structural design purposes.