In this paper, the energy phase method is applied to analysis the multipulse orbits and homoclinic trees of the nonlinear vibration absorber model under 1〖DK〗∶0 internal resonance and the first order primary resonance. Firstly, the nonlinear governing equations are transformed to the standard form of nearintegrable Hamiltonian systems. Moreover, the unperturbed dynamics and perturbed dynamics are examined. The influence of dissipative factor and the phase shift on the pulse number and layer radii of the multipulse orbits of system are analyzed. The results show that energy is transferred from the highfrequency mode to the lowfrequency mode in these systems.
周莎,张伟,于天俊.非线性减震器的多脉冲轨道和同宿树研究[J].动力学与控制学报,2016,14(4):328~331; Zhou Sha, Zhang Wei, Yu Tianjun. Multipulse orbits and homoclinic trees of nonlinear vibration absorber[J]. Journal of Dynamics and Control,2016,14(4):328-331.