Structural Engineering and Mechanics

  • 제36권6호
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  • Pages.679-695
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  • 2010
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

In-plane vibrations of cracked slightly curved beams

  • Oz, H. Ridvan (Department of Genetics and Bioengineering, Engineering Faculty, Fatih University)
  • 투고 : 2009.10.21
  • 심사 : 2010.08.10
  • 발행 : 2010.12.20
⟨ 이전 논문 다음 논문 ⟩

초록

In-plane vibrations of slightly curved beams having cracks are investigated numerically and experimentally. The curvature of the beam is circular and stays in the plane of vibration. Specimens made of steel with different lengths but with the same radius of curvature are used in the experiments. Cracks are opened using a hand saw having 0.4 mm thickness. Natural frequencies depending on location and depth of the cracks are determined using a Bruel & Kjaer 4366 type accelerometer. Then the beam is assumed as a Rayleigh type slightly curved beam in finite element method (FEM) including bending, extension and rotary inertia. A flexural rigidity equation given in literature for straight beams having a crack is used in the analysis. Frequencies are obtained numerically for different crack locations and depths. Experimental results are presented and compared with the numerical solutions. The natural frequencies are affected too much due to larger moments when the crack is around nodes. The effect can be neglected when it is at the location of maximum displacements. When the crack is close to the clamped end, the decrease in the frequencies in all modes is very high. The consistency of the results and validity of the equations are discussed.

키워드

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피인용 문헌

  1. Exact solution for free vibration of curved beams with variable curvature and torsion vol.47, pp.3, 2013, https://doi.org/10.12989/sem.2013.47.3.345
  2. Crack modeling and identification in curved beams using differential evolution vol.131-132, 2017, https://doi.org/10.1016/j.ijmecsci.2017.07.014
  3. A statistics and optimization-based approach for crack parameter identification in curved beams 2018, https://doi.org/10.1177/1475921717732026
  4. Modal characteristics of cracked thin walled unsymmetrical cross-sectional steel beams curved in plan vol.108, 2016, https://doi.org/10.1016/j.tws.2016.08.006
  5. Vibration analysis of a cracked beam with axial force and crack identification vol.9, pp.4, 2010, https://doi.org/10.12989/sss.2012.9.4.355
  6. Nonlinear vibration of a slightly curved beam with quasi-zero-stiffness isolators vol.95, pp.3, 2010, https://doi.org/10.1007/s11071-018-4697-9