ACTIVE CONTROL OF A CANTILEVER BEAM SUBJECT TO PARAMETRIC EXCITATION VIA NEGATIVE FEEDBACK VELOCITY

Yasser Amer, Sabry El-Shourbagy
2016 unpublished
The dynamical behavior of a cantilever beam subject to parametric excitation is investigated. The method of multiple scale perturbation technique is applied to obtain the solution up to the second order approximation. At first we studied the system behavior without control and the effect of parameters at this case. The active control of negative feedback with linear and cubic velocity is used to vibration control. It can be seen that the linear control is more effective than the cubic control.
more » ... the cubic control. All resonance cases are studied numerically to obtain the worst case. Stability of the steady state solution for the selected resonance case is studied applying Rung-Kutta fourth method and frequency response equation via Matlab 7.0 and Maple 16.
fatcat:uifoj2avdnapxhrtswrsdhm67u