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

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (1) : 150-155.

论文

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

张也弛; 孔宪仁; 张红亮

作者信息 +

Targeted energy transfer in coupled nonlinear oscillators I: complete energy exchange in conservative system

Zhang Y C; Kong X R; Zhang H L

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文章历史 +

摘要

研究了两自由度非线性耦合振子间的靶能量传递现象。第一部分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，本部分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。

Abstract

Targeted energy transfer in a system of two-degree-of-freedom coupled nonlinear oscillators is investigated. Based on the slow-flow dynamics of the original system, the relation between complete energy change and the initial conditions is derived in the first part of the research. Numerical simulation shows 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.

导出引用

张也弛;孔宪仁;张红亮. 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[J]. 振动与冲击, 2012, 31(1): 150-155

Zhang Y C;Kong X R;Zhang H L. Targeted energy transfer in coupled nonlinear oscillators I: complete energy exchange in conservative system[J]. Journal of Vibration and Shock, 2012, 31(1): 150-155