Active damping of structures by application of the piezoelectric elements is a very useful method for reduction of vibration of the beam and plates structures. The authors simulated by finite element method possibility of application of the method in active and passive formulation for reduction of vibration for the given mode or series of modes for beams and plates. The general idea of active method for beams vibrations reduction is to put the energy to the system, which generate the suitable anti-generalized force. If the vibrations of beam is assumed, the distributed moments should be put in the regions with the maximum curvatures due to the vibrations. When vibrations are the type of single-mode one, the positions of the putting of the moments are easy to determinate (analytical or experimental methods). For multimodal response of the beam distribution and number of anti-moments can be optimized assuming different criterion's. One of practical methods for generation of anti-moments for beams is using the piezoelectric elements. If the pair of piezoelectric actuators are considered, their action can be modelled by a set of two moments. Amplitudes of the moments are determinate by the values of input voltage and piezoelectric material properties. The authors will presents the analytical formulation of the problem for the research structure which can be applied for analytical simulation of control of bending excited vibrations of a beam. Those results can be used for testing the suitable control procedures for simulation done by finite element method. Furthermore, the current stage of testing of control algorithms using finite elements method simulations will be presented.
展开▼
