Active Vibration Suppression of Laminated Composite Structures Integrated with Magnetorheological Fluid Segments

Abstract- This study exhibits synthesis of full-state LQR controllers for suppression of free and forced vibration of a cantilever plate fully and partially treated with the magneto-rheological (MR) fluid. The governing equations of motion of the three layer MR sandwich composite plate are showed in the state variable form containing a function of the control magnetic field. An optimal control elaboration based on the linear quadratic regulator (LQR) developed to conquer the vibration of the plate under limited magnetic field intensity. The free-and forced vibration control performances of LQR control strategies are assessed for the fully as well as partially treated MR-fluid sandwich composite plates. The results demonstrate that the full-state observer-based LQR control can considerably reduce the tip deflection responses and the settling time of the free vibration oscillations. The partially-treated plate with MR-fluid concentration near the free end also yields vibration responses comparable to the fully treated plate, while the natural frequencies of the partially treated beams are considerably higher. Keywords- composite layered plate, active vibration control, MR fluid I