Vibration and stability of an aircraft tail under simultaneous primary-combined and internal resonance

作     者：Y.S.Hamed W.A.A.El-Ganaini 

作者机构：Department of Engineering MathematicsFaculty of Electronic EngineeringMenouf 32952Egypt Department of Mathematics and StatisticsFaculty of ScienceTaif UniversityTaifEl-HaweiahP.O.Box 88821974Kingdom of Saudi Arabia(KSA) 

出 版 物：《Theoretical & Applied Mechanics Letters》 (力学快报（英文版）)

年 卷 期：2011年第1卷第4期

页      面：68-73页

学科分类：08[工学] 0825[工学-航空宇航科学与技术] 

基　　金：the support of the author community in using REVTEX  offering suggestions and encouragement  testing new versions 

主　　题：aircraft tail stability response active vibration control 

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