Proceedings of the Korean Society for Noise and Vibration Engineering Conference (한국소음진동공학회:학술대회논문집)
- 2000.06a
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- Pages.441-448
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- 2000
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- 1598-2548(pISSN)
Analysis of Nonplanar Free Vibrations of a Beam by Nonlinear Normal Mode
비선형 정규모드를 이용한 보의 비평면 자유진동해석
- Published : 2000.06.22
Abstract
An investigation into the nonlinear free vibrations of a cantilever beam which can have not only planar motion but also nonplanar motion is made. Using Galerkin's method based on the first mode in each motion, we transform the boundary and initial value problem into an initial value problem of two-degree-of-freedom system. The system turns out to have two normal modes. By Synge's stability concept we examine the stability of each mode. In order to check validity of the stability we obtain the numerical Poincare map of the motions neighboring on each mode.