PERFORMANCE OF A REGULATOR DESIGN FOR VIBRATION CONTROL OF BEAMS SUBJECTED TO MULTIPLE MOVING LOADS

Abstract

ABSTRACT Performance of a regulator design for vibration control of simply supported beams subjected to multiple moving loads with constant velocity is examined. An optimal linear quadratic regulator is used in designing the control system, which can be considered as sub-optimal since the magnitudes and positions of the moving forces are not tracked at every time instant in the control process in consideration of the difficulties in actual implementation. Steady state control is considered due to continuous excitations of the moving forces on the support beam. An independent modal space control technique is applied to effectively suppress the excessive modal vibration and to reduce the computation time required to synthesize the control action. The non-linear Riccati matrix equations are solved in closed form and exact expressions for both the control input and controlled system response are given to enable swift performance evaluation of the control system. It is observed that excessive vibration of the system can be effectively suppressed using the proposed regulator design.