CONTROL OF A MULTI-CRACKED TIMOSHENKO BEAM SUBJECT TO A MOVING MASS USING PIEZOELECTRIC ACTUATORS

In this paper, the dynamic modeling and control of a multi cracked beam subject to a moving mass is presented. The beam equations of motion are obtained based on the Timoshenko beam theory by including the dynamic effect of a moving mass traveling along a vibrating path. The equations of motion are first discretized by using the assumed modes method. The cracked beam is modeled as numbers of segments connected by two massless springs at the crack locations (one extensional and another one rotational). Considering the compatibility requirements on the crack section, the relationships between any two spans can be obtained. One piezoelectric actuator is then attached along the bottom of the beam. In order to reduce the vibration of the beam under a moving mass, a controller with full state feedback is designed based on linearized equations of motion. Finally, numerical simulations are performed with respect to different conditions such as crack size, type of the beam, and velocities. The controller with a piezoelectric actuator shows excellent performance under a moving mass

کلیدواژه ها:

Open cracks ، Timoshenko beams ، Piezoactuator ، Moving mass ، Transfer matrix method