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Planar free vibrations of horseshoe elliptic arch

  • Structural Engineering
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KSCE Journal of Civil Engineering Aims and scope

Abstract

This paper deals with planar free vibrations of the horseshoe elliptic uniform arch. Simultaneous differential equations governing free vibrations of such arch are derived, in which the axial extensional deformation is included and the radial and tangential deformations are normalized by the intercept of the horizontal axis. The differential equations are numerically solved for calculating natural frequencies with their corresponding mode shapes. In parametric studies, effects of the rotatory inertia, aspect ratio, subtended angle and slenderness ratio on frequency parameters are extensively discussed. Typical mode shapes of the radial and tangential deformations are presented in figures.

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Authors and Affiliations

  1. Dept. of Civil and Environmental Engineering, Wonkwang University, Iksan, 570-749, Korea

    Byoung Koo Lee & Tae Eun Lee

  2. Dept. of Civil Engineering, Daejeon University, Daejeon, 300-716, Korea

    Kwang Kyou Park

  3. Dept. of Civil and Environmental Engineering, Jeonnam Provincial College, Jeonnam, 517-802, Korea

    Sang Jin Oh

Authors
  1. Byoung Koo Lee
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  2. Kwang Kyou Park
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  3. Sang Jin Oh
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  4. Tae Eun Lee
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Correspondence to Tae Eun Lee.

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Lee, B.K., Park, K.K., Oh, S.J. et al. Planar free vibrations of horseshoe elliptic arch. KSCE J Civ Eng 20, 1411–1418 (2016). https://doi.org/10.1007/s12205-015-0582-y

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  • DOI: https://doi.org/10.1007/s12205-015-0582-y

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