A method for vibration control of a Timoshenko, beam by artificial neural networks

The paper presents a control method for the vibration of a Timoshenko beam by virtue of artificial neural networks. Firstly, the paper analyzes vibration characters of Timoshenko beam and gives a simple model for it. Secondly, the effect of piezoelectric materials PZT mounted in the Timoshenko beam is analyzed and the transfer function of the beam vibration control system is developed in the context of control theory. Thirdly a method of the artificial neural network is used to control the vibration of beam([1,2]). The neural network identification (NNI) is designed to fit the function between the force and the beam vibration, and the neural network control (NNC) is designed to fit the function between the piezoelectric materials PZT and the beam vibration. When the force acts on the beam, the neural network identification (NNI) gives the output of beam vibration, and the control system takes it as the input of the neural network control (NNC), with the output of NNC as the control signal. At last, the characteristics of the system are simulated numerically by MATLAB.