非线性耦合振子间的靶能量传递研究:保守系统中的完全能量传递

摘要

Targeted energy transfer in a system of 2-DOF coupled nonlinear oscillators was investigated. Based on the slow-flow dynamics of the original system, the relation between complete energy exchange and initial conditions was derived. Numerical simulation showed that the initial energy required for complete energy exchange between the two oscillators can be calculated precisely using the formula derived; and the initial energy required for optimal targeted energy transfer also can be approximately estimated under the assumption of small damping.%研究了两自由度非线性耦合振子间的靶能量传递现象.基于非线性耦合振子内在保守系统的慢变动力学方程,推导出了该结构的保守系统中两振子间完全能量传递所需要的条件.经数值仿真验证,所推导的方程可准确计算两振子间完全能量传递所需的初始能量,并适用于强非线性系统.