研究了一个具有非线性能量阱的两自由度线性振子耦合系统，确定了其产生靶能量传递的条件和传递频率。建立了无量纲形式的振动方程，利用复变量—平均法推导了保守系统的慢变动力流和哈密顿函数。基于哈密顿力学和相空间中的离散呼吸子理论确定了系统产生靶能量传递的质量比条件和初值条件，并采用椭圆积分计算得到靶能量传递的频率。通过数值仿真验证了有阻尼系统中靶能量传递的不可逆性。

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.