Dynamic Analysis of a Flexible Spinning Disk with Angular Acceleration Considering Nonlinearity

비선형성을 고려한 각가속도를 갖는 유연 회전원판의 동적 해석

  • 정진태 (한양대학교 공과대학 기계공학과) ;
  • 정두한 (한양대학교 대학원 정밀기계공학과(현재 한국중공업))
  • Published : 1999.08.01

Abstract

Dynamic behaviors are analyzed for a flexble spinning disk with angular acceleration, considering geometric nonlinearity. Based upon the Kirchhoff plate theory and the von Karman strain theory, the nonlinear governing equations are derived which are coupled equations with the in-plane and out-of-planedisplacements. The governing equations are discretized by using the Galerkin approximation. With the discretized nonlinear equations, the time responses are computed by using the generalized-$\alpha$ method and the Newton-Raphson method. The analysis shows that the existence of angular acceleration increases the displacements of the spinning disk and makes the disk unstable.

Keywords

References

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