• ACTIVE VIBRATION CONTROL OF AN AIRCRAFT TAIL SUBJECTED TO MULTI-HARMONIC AND MULTI-TUNED EXCITATIONS WITH MULTI-SIMULTANEOUS RESONANCE

Abstract

In this paper, a negative velocity feedback is added to the dynamical system of twin-tail aircraft to suppress the vibration. The system is represented by two coupled second-order nonlinear differential equations having both quadratic and cubic nonlinearities. The system describes the vibration of an aircraft tail subjected to both multi-harmonic and multi-tuned excitations. The method of multiple time scale perturbation is applied to solve the nonlinear differential equations and obtain approximate solutions up to the second order approximations. The stability of the proposed analytic solution near the simultaneous primary, combined and internal resonance is studied and its conditions are determined. The effect of different parameters on the steady state response of the vibrating system is studied and discussed using frequency response equations. Some different resonance cases are investigated numerically.