Journal of KSNVE (소음진동)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Dynamic Modeling and Analysis for an Axially moving String

축방향 이송속도를 갖는 현의 모델링 및 진동해석

  • 신창호 (한양대학교 정밀기계공학과 대학원) ;
  • 정진태 (한양대학교 공학대학 기계공학과) ;
  • 한창수 (한양대학교 공학대학 기계공학과)
  • Published : 2000.10.01
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Abstract

The vibration of an axially moving string is studied when the string has geometric non-linearity and translating acceleration. Based upon the von karman strain theory, the equations of motion are derived considering the longitudinal and transverse deflection. The equation for the longitudinal vibration is linear and uncoupled, while the equation for the transverse vibration is non-linear and coupled between the longitudinal and transverse deflections. These equations are discretized by using the Galerkin approximation after they are transformed into the variational equations, i.e. the weak forms so that the admissible and comparison functions can be used for the bases of the longitudinal and transverse deflections respectively. With the discretized nonlinear equations, the time responses are investigated by using the generalized-$\alpha$ method.

Keywords

References

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