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Planar free vibrations of horseshoe elliptic arch

Lee, Byoung Koo / Park, Kwang Kyou / Oh, Sang Jin / Lee, Tae Eun

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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Planar free vibrations of horseshoe elliptic arch

Lee, Byoung Koo / Park, Kwang Kyou / Oh, Sang Jin / Lee, Tae Eun

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.

Planar free vibrations of horseshoe elliptic arch

Lee, Byoung Koo / Park, Kwang Kyou / Oh, Sang Jin / Lee, Tae Eun

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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Title:

Planar free vibrations of horseshoe elliptic arch

Contributors:

Lee, Byoung Koo (author) / Park, Kwang Kyou (author) / Oh, Sang Jin (author) / Lee, Tae Eun (author)

Published in:

KSCE Journal of Civil Engineering ; 20 ; 1411-1418

Publication date:

2015-10-01

Size:

8 pages

ISSN:

1976-3808 , 1226-7988

DOI:

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

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

horseshoe arch , elliptic arch , free vibration , natural frequency , mode shape Engineering , Civil Engineering , Industrial Pollution Prevention , Geotechnical Engineering & Applied Earth Sciences

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