Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Dynamic Analysis of a Cantilever Beam with the Payametric Excitation in Rotation

회전 방향으로 매개 가진되는 외팔보의 동적 해석

  • 임형빈 (한양대학교 대학원 정밀기계공학과) ;
  • 정진태 (한양대학교 공학대학 기계공학과)
  • Published : 2002.11.01
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Abstract

Dynamic stability of a rotary oscillating cantilever beam is presented in this study. Using the stretch deformation instead of the conventional axial deformation, three linear partial differential equations are derived from Hamilton's principle and transformed into dimensionless forms. Stability diagrams of the first order approximate solutions are obtained by using the multiple scale perturbation method. The stability diagrams show that relatively large unstable regions exist near the combination of the first chordwise bending natural frequency and the first stretch natural frequency. This result is verified by using the generalized -$\alpha$ method.

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References

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