한국소음진동공학회논문집 (Transactions of the Korean Society for Noise and Vibration Engineering)

  • 제20권9호
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  • Pages.849-855
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  • 2010
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  • 1598-2785(pISSN)
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  • 2287-5476(eISSN)
한국소음진동공학회 (The Korean Society for Noise and Vibration Engineering)
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조합공진 영역에서 감쇠의 영향을 고려한 비선형 진동 응답 특성

Nonlinear Oscillation Characteristics in Combination Resonance Region Considering Damping Effects

  • 정태건 (건국대학교 기계공학부)
  • 투고 : 2010.08.04
  • 심사 : 2010.08.31
  • 발행 : 2010.09.20
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초록

Damping may change the response characteristics of nonlinear oscillations due to the parametric excitation of a thin cantilever beam. When the natural frequencies of the first bending and torsional modes are of the same order of magnitude, we can observe the one-to-one combination resonance in the perturbation analysis depending on the characteristic parameters. The nonlinear behavior about the combination resonance reveals a chaotic motion depending on the natural frequencies and damping ratio. We can analyze the chaotic dynamics by using the eigenvalue analysis of the perturbed components. In this paper, we derived the equations for autonomous system and solved them to obtain the characteristic equation. The stability analysis was carried out by examining the eigenvalues. Numerical integration gave the physical behavior of each mode for given parameters.

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참고문헌

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