Open and Closed Loop Dynamic Response Analysis of Flexible Core Sandwich Beam With Piezoelectric Actuator and Sensors

In this paper, the response of simply supported flexible core sandwich beam with piezoelectric patch, under uniform harmonic loading with and without the control is analyzed. Sandwich beam is modeled using three-layer sandwich beam theory. Governing equations of motion are obtained using Hamilton’s principle, based on Euler–Bernoulli beam theory for face-sheets and linear displacement field theory for soft core. By defining suitable state variables in time domain and using Galerkin’s method, the state space equations of system are derived from governing equations of motion. Controller is designed using LQR technique. Dynamic response and frequency response of beam in open and closed loop configuration are obtained and the effect of flexible core on the control of dynamic response is investigated. The obtained results show that the controller can play an important role toward damping out the vibration of the sandwich beam. Also, it is shown that the %18 difference between vibration amplitudes of top and bottom face sheets, because of the flexibility of the core, affects the position of piezo actuator and sensor.