Analysis of Nonlinear Normal Modes by Extended Normal Form Method

@article{Shih2006AnalysisON,
  title={Analysis of Nonlinear Normal Modes by Extended Normal Form Method},
  author={Ta-Ming Shih and Tso-Liang Teng and Ching-Yu Hsu},
  journal={2006 IEEE Conference on Robotics, Automation and Mechatronics},
  year={2006},
  pages={1-7}
}
An extended normal form method is developed here to study the nonlinear normal mode. The method is based on the traditional normal form method in nonlinear dynamics analysis. It will be shown that the concept of linear modal space can be extended to nonlinear modal space and the linear modal space is tangent to the nonlinear modal space. Therefore, the purpose of this paper is to provide a framework of nonlinear coordinate transformation that can transform a nonlinear system into nonlinear… CONTINUE READING

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