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In-plane Vibration Analysis for an Axially Moving Membrane

축방향으로 움직이는 박막의 면내 진동해석

  • 정진태 (한양대학교 기계공학) ;
  • 신창호 (한양대학교 정밀기계공학과) ;
  • 김원석 (한양대학교 BK21 기계분야사업단)
  • Published : 2002.03.01

Abstract

The longitudinal and lateral in-plane vibrations of an axially moving membrane are investigated when the membrane has translating acceleration. By extended Hamilton's principle, the governing equations are derived. The equations of motion for the in-plane vibrations are linear and coupled. These equations are discretized by using the Galerkin approximation method after they are transformed into the variational equations, j.e., the weak forms so that the admissible functions can be used for the bases of the in-plane deflections. With the discretized equations for the in-plane vibrations, the natural frequencies and the time histories of the deflections are obtained.

Keywords

References

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