Nonlinear normal modes in damped - forced systems

机译：阻尼强迫系统的非线性正常模

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In the previous chapters of this volume, the nonlinear normal modes (NNMs) were defined and explored in conservative systems. In current chapter, the notion is extended for dynamical systems with viscous damping, as well as for the systems with external forcing. We start with a discussion about normal modes in linear damped systems. Then, we discuss an effect of the damping on the NNMs in nonlinear models. Finally, it is demonstrated that the problem of targeted energy transfer (TET) may be efficiently treated with the help of the NNM concept with account of possible time scale separation - both in autonomous and in forced systems.

机译：在本卷的前几章中，在保守系统中定义和探索了非线性法线模式（NNM）。在本章中，该概念已扩展到具有粘性阻尼的动态系统以及具有外部强制的系统。我们首先讨论线性阻尼系统中的正常模式。然后，我们讨论了非线性模型中阻尼对NNM的影响。最后，证明了在自主系统和强制系统中，考虑到可能的时标分离，可以借助NNM概念有效地解决目标能量转移（TET）问题。

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《Modal analysis of nonlinear mechanical systems》|2012年|161-213|共53页
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O.V.Gendelman;
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Faculty of Mechanical Engineering, Technion - Israel Institute of Technology, Haifa, Israel;

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Nonlinear normal modes in damped - forced systems

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