nonlinear vibration theory

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。

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。

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。