Optimal Analysis and Design Controller for Suppressing Vibration Smart Timoshenko Beam by Using Various Intervals

The subject of this study was vibration damping of Timoshenko beam based on finding optimal place and number of piezoelectric sensor and actuator using LQR controller and MOPSO algorithm. Today, researchers make a lot of effort to make a structure have optimized reliable life, manufacturing cost, and power consumption. One of the researches on optimized and controlled smart structure is through using piezoelectric sensor and actuator so that the sensor and actuator can adopt the best controlling interest based on the type of approach to design the controller upon receipt of a vibration by sensor and with the transfer of vibration signals to the controller. Then, it can transfer a proper signal to the actuator. In fact, it is the actuator that tries to neutralize the vibrations of the structure in order to have a structure with longer life and lower failure and can meet the designer's objective in the best way. In this study, using MOPSO algorithm and defining the design variables, the best number and location to place the piezoelectric sensor and actuator at the bottom and top the bottom and top cantilever beam in in a specified range can be searched and then an optimal model of smart structure was suggested.