Structural Engineering and Mechanics

  • 제3권5호
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  • Pages.511-525
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  • 1995
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

In-plane free vibrations of catenary arches with unsymmetric axes

  • Wilson, James F. (Department of Civil Engineering, Duke University) ;
  • Lee, Byoung Koo (Department of Civil Engineering, Wonkwang University)
  • 발행 : 1995.09.25
⟨ 이전 논문 다음 논문 ⟩

초록

The differential equations governing in-plane free vibrations of the elastic, catenary arch with rotatory inertia are derived in Cartesian coordinates. Frequencies and mode shapes are computed numerically for such arches with unsymmetric axes, for both clamped-clamped and hinged-hinged end constraints. The lowest four natural frequency parameters are reported, with and without rotatory inertia, as a function of three nondimensional system parameters; the span to cord length ratio e, the slenderness ratio s, and the rise to cord length ratio f. Experimental measures of frequencies and mode shapes for several laboratory-scale catenary models serve to validate the theoretical results.

키워드

참고문헌

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  2. Free Vibration Analysis of Parabolic Arches in Cartesian Coordinates vol.03, pp.03, 2003, https://doi.org/10.1142/S021945540300094X
  3. Free vibrations of non-circular arches with non-uniform cross-section vol.37, pp.36, 2000, https://doi.org/10.1016/S0020-7683(99)00194-8
  4. Free vibrations of arches with general boundary condition vol.6, pp.4, 2002, https://doi.org/10.1007/BF02842001
  5. Thin-walled curved beam theory based on centroid-shear center formulation vol.19, pp.2, 2005, https://doi.org/10.1007/BF02916181
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  7. In-plane Free Vibrations of Horseshoe Circular Arch vol.34, pp.4, 2014, https://doi.org/10.12652/Ksce.2014.34.4.1043
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  9. Free vibrations of arches with inclusion of axial extension, shear deformation and rotatory inertia in Cartesian coordinates vol.8, pp.1, 2004, https://doi.org/10.1007/BF02829079
  10. Free vibrations of inclined arches using finite elements vol.13, pp.6, 2002, https://doi.org/10.12989/sem.2002.13.6.713
  11. 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
  12. 중공단면을 갖는 포물선형 아치의 면내 자유진동 해석 vol.18, pp.2, 1995, https://doi.org/10.5050/ksnvn.2008.18.2.215
  13. Series solutions for spatially coupled buckling anlaysis of thin-walled Timoshenko curved beam on elastic foundation vol.33, pp.4, 1995, https://doi.org/10.12989/sem.2009.33.4.447
  14. Free Vibrations of Tapered Horseshoe Circular Arch with Constant Volume vol.10, pp.16, 1995, https://doi.org/10.3390/app10165431