Nonlinear vibration analysis of a novel moving mass flight vehicle

Abstract

In view of the control authority and configuration, a novel configuration of moving mass with large mass ratio is proposed and its nonlinear dynamics is investigated. The coupling dynamic equations between angle of attack and deflection of moving mass are established. An analysis of these equations indicates that the moving mass with large mass ratio will result in dynamic equations having nonlinearities and the occurrence of internal resonances in such system. Multiple-scale method is used in the analysis of the primary resonances of the external excitation and internal resonances. The steady-state solutions and the effects of different parameters of moving mass on the frequency response have been investigated. Numerical results show that the proposed system is of hardening spring characteristic when excitation frequency is near to different natural frequencies. The mass ratio and the relative position also lead to the occurrence of a jump phenomenon and multi-valued regions. The reasonable design for parameters of the moving mass system can ensure stability and high performance of flight vehicle.