• 제목/요약/키워드: 다중시간척도 섭동법

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회전 방향으로 매개 가진하는 외팔보의 동적 해석 (Dynamic Analysis of a Cantilever Beam with the Parametric Exitation in Rotation)

  • 임형빈;정진태
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 추계학술대회논문집 I
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    • pp.335-340
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    • 2001
  • 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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