Abstract:Analytic conditions and frequency for targeted energy transfer are investigated in a 2-dof system comprising of a linear oscillator coupled to a nonlinear energy sink. The vibration equations are formulated as a dimensionless form, then the dynamic flow and Hamiltonian function for the underlined conservative system are derived by complex-averaging method. Based on the Hamiltonian and discrete breather theory in phase dynamics, the mass ratio and initial value condition linked to a completely energy transfer in the conservative system are determined, and the frequency of the targeted transfer is calculated by Jacobian elliptic integral. As a result of numerical simulation, the irreversibility of targeted energy transfer in damped system is demonstrated.
李海勤,孔宪仁,叶东,刘萌. 基于离散呼吸子理论的靶能量传递研究[J]. 振动与冲击, 2016, 35(22): 86-91.
LI Hai-qin KONG Xian-ren YE Dong LIU Meng. Investigation of targeted energy transfer based on discrete breather theory. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(22): 86-91.