Nonlinear Vibration Analysis of a Rotating Ring

회전하는 링의 비선형 진동해석

  • Published : 2001.07.01


Nonlinear Vibration of a flexible circular ring is studied in this paper. Based upon the von Karman strain theory, the nonlinear governing equations are derived, in which the in-plane bending and extension displacements as well as the out-of-plane bending displacement are fully coupled. After discretizing the governing equations by the Galerkin approximation method, we obtain the linearlized equation by using the pertubation method. The results from the linearlized equations show that the in-plane displacement has effects on the natural frequencies of the out-of-plane displacement.


Rotaing Ring;Natural Frequency;Perturbation Method


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