In this paper, the nonlinear mode correspondence principle in nonlinear vibration theory is proposed and proved.

提出了非线性振动理论中的非线性模态对应原理，并给出了该原理的证明。

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Firstly, fundamental conceptions of dynamic system and linear theory of cutting vibration are mentioned, which is used as the mainstay of nonlinear theory in the dissertation.

首先，本文讲述动态系统的一些基本概念和切削颤振的线性理论，作为非线性理论方面的研究成果的基础。

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Because of the nonlinear foundation of nonlinear vibration systems, the linear controller used in nonlinear vibration active control based on traditional control theory can not work very effectively.

由于非线性振动系统的非线性本质，基于传统控制理论的线性控制器用于非线性振动控制效果不佳。

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