Abstract
An instantaneous optimal closed loop control approach incorporating a general numerical procedure is developed in this work for suppressing the excessive vibration of Timoshenko beams due to the severe dynamic impact of a moving mass load. The geometric nonlinearity due to large deformations of the support beam is taken into account by applying the approach of fictitious loads for kinematic corrections. The complex nonlinear strain‐displacement relationship is alleviated by solving a set of linear differential equations and transforming the coordinates successively until the solution converges to a specified small quantity. The effect of actuator location on the performance of the control system designed is examined. The saturation effect of the control input is also addressed. This study shows that excessive vibration of the beam structure traversed by a moving mass load can be effectively suppressed by using the approach developed.
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