회전하는 링의 비선형 진동해석

Abstract

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 qpproximation method, we obtain the linearlized equation by using the perubation method. The analysis results from the linearlized equations show that the in-plane displacement has effects on the natural frequencies of the out-of-plane displacement.