Structural Engineering and Mechanics

  • 제2권4호
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  • Pages.345-357
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  • 1994
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Free vibrations of circular arches with variable cross-section

  • Wilson, James F. (Department of Civil Engineering, Duke University) ;
  • Lee, Byoung Koo (Department of Civil Engineering, Wonkwang University) ;
  • Oh, Sang Jin (Department of Civil Engineering, Wonkwang University)
  • 발행 : 1994.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

The differential equations governing free, in-plane vibrations of linearly elastic circular arches with variable cross-sections are derived and solve numerically for quadratic arches with three types of rectangular cross sections. Frequencies, mode shapes, cross-sectional load distributions, and the effects of rotatory inertia on frequencies are reported. Experimental measurements of frequencies and their corresponding mode shapes agree closely with those predicted by theory. The numerical methods presented here for computing frequencies and mode shapes are efficient and reliable.

키워드

참고문헌

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피인용 문헌

  1. Free vibrations of inclined arches using finite elements vol.13, pp.6, 2002, https://doi.org/10.12989/sem.2002.13.6.713
  2. Free vibrations of tapered piles embedded partially in Winkler type foundations vol.3, pp.2, 1999, https://doi.org/10.1007/BF02829059
  3. Free vibration and elastic analysis of shear-deformable non-symmetric thin-walled curved beams: A centroid-shear center formulation vol.21, pp.1, 2005, https://doi.org/10.12989/sem.2005.21.1.019
  4. Static, stability and free vibration analysis of arches using a new differential transformation-based arch element vol.77, 2013, https://doi.org/10.1016/j.ijmecsci.2013.09.012
  5. Application of Numerical Differentiation Using Differential Quadrature (DQ) to Curved Member-like Structural Analysis vol.17, pp.2, 2007, https://doi.org/10.5050/ksnvn.2007.17.2.185
  6. Series solutions for spatially coupled buckling anlaysis of thin-walled Timoshenko curved beam on elastic foundation vol.33, pp.4, 1994, https://doi.org/10.12989/sem.2009.33.4.447
  7. Free vibration of tapered arches made of axially functionally graded materials vol.45, pp.4, 1994, https://doi.org/10.12989/sem.2013.45.4.569