Abstract
This paper describes wave control of cantilevered beam by controlling the bending moment near free end boundary. The basic fact the equation of motion of beam is the balance of distributed force per unit length and the second derivative of bending moment is equivalent to the distributed force is used. The equation of motion is approximated by finite difference (FD) method. The equations of boundary node are compensated to be same as that of interior nodes in terms of bending moment where virtually existing bending moments are realized as no boundary exists. The wave traveling characteristics between the adjacent FD bending moment is same as that of the adjacent FD displacement when the bending moment is expressed by three adjacent FD displacements. The control bending moments are calculated by the convolution integral of the sensing moment. The numerical bending moment simulates piezoelectric elements. We have conducted numerical simulation of control and found that our method has vibration suppression effect.
