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Nonlinear Modelling for the Vibration Analysis of a Rotating Ring with the In-Plane/Out-of-Plane Deformations

면내/면외 변형이 있는 회전 링의 진동해석을 위한 비선형 모델링

  • 김원석 (한양대학교 BK21 기계분야 사업단) ;
  • 정진태 (한양대학교 공과대학 기계공학과)
  • Published : 2003.01.01

Abstract

Nonlinear models for a thin ring rotating at a constant speed are developed. The geometric nonlinearity of displacements is considered by adopting the Lagrange strain theory for the circumferential strain. By using Hamilton’s principle, the coupled nonlinear partial differential equations are derived, which describe the out-of-plane and in-plane bending, extensional and torsional motions. The natural frequencies are calculated from the linearized equations at various rotational speeds. Finally, the computation results from the nonlinear models are compared with those from a linear model. Based on the comparison, this study recommends which model is appropriate to describe the behavior of the rotating ring.

Keywords

Rotating Ring;Geometric Nonlinearity;In-Plane Flexural Vibration;Out-of-Plane Flexural Vibration;Stiffening Effect

References

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