• 제목/요약/키워드: 굽힘 진동

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회전 외팔보의 면외방향 굽힘진동 해석 (Flapwise Bending Vibration of Rotating Cantilever Beams)

  • 유홍희
    • 대한기계학회논문집
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    • 제19권2호
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    • pp.348-353
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    • 1995
  • When cantilever beams rotate, their bending stiffnesses change due to the stretching caused by centrifugal inertia forces. Such phenomena result in variations of natural frequencies and mode shapes associated with constant speed rotational motions of the beams. These variations are important in many practical applications such as helicopter blades, turbomachines, and space structures. This paper presents the formulation of a set of linear equations governing the flapwise bending vibration of rotating cantilever beams. These equations can be used to provide accurate predictions of the variations of natural frequencies and mode shapes due to rotation.

복합재 회전 외팔보의 면외방향 굽힘진동 해석 (Flapwise Bending Vibration Analysis of Rotating Composite Cantilever Beams)

  • 이승현;신상하;유홍희
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.887-892
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    • 2003
  • A modeling method for the modal analysis of a rotating composite beam is presented in this paper. Linear differential equations of motion are derived by using the assumed mode method. For the modeling, hybrid deformation variables are employed and approximated to derive the equations of motion Symmetrical laminated layers are considered for the composite beam. The effects of the dimensionless angular velocity, the hub radius and the fiber orientation angle parameter on the variations of modal characteristics are investigated.

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면내/면외 변형이 있는 회전 링의 진동해석을 위한 비선형 모델링 (Nonlinear Modelling for the Vibration Analysis of a Rotating Ring with the In-Plane/Out-of-Plane Deformations)

  • 김원석;정진태
    • 대한기계학회논문집A
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    • 제27권1호
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    • pp.42-47
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    • 2003
  • Nonlinear models for a thin ring rotating at a constant speed are developed. The geometric nonlinearity of displacements is considered by adopting the Lagrange strain theory for the circumferential strain. By using Hamilton’s principle, the coupled nonlinear partial differential equations are derived, which describe the out-of-plane and in-plane bending, extensional and torsional motions. The natural frequencies are calculated from the linearized equations at various rotational speeds. Finally, the computation results from the nonlinear models are compared with those from a linear model. Based on the comparison, this study recommends which model is appropriate to describe the behavior of the rotating ring.

집중 질량을 갖는 폭 변단면 외팔보의 굽힘 진동 해석 (Bending Vibration Analysis of Width Tapered Beams with Concentrated Tip Mass)

  • 이정우;곽종훈;이정윤
    • 한국소음진동공학회논문집
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    • 제25권12호
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    • pp.822-829
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    • 2015
  • A transfer matrix method has been developed to determine the more accurate natural frequencies for the bending vibration of Bernoulli-Euler beam with linearly reduced width and a concentrated tip mass. The proposed method can be computed an infinite number of the natural frequencies using a single element. Using the differential equation, shear force, and bending moment in which can be deduced by the diverse variational principles, a transfer matrix is formulated. The roots of the differential equation are computed by the Frobenius method. The effect of the concentrated mass for the natural frequencies of width-tapered beams is examined through a parametric study, and to show the accuracy of the proposed method, the computed results compared with those obtained from commercial finite element analysis program(ANSYS).