Exact solution of in-plane vibrations of circular arches with account taken of axial extension, transverse shear and rotatory inertia effects

Tufekci E. , ARPACI A.

JOURNAL OF SOUND AND VIBRATION, vol.209, no.5, pp.845-856, 1998 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 209 Issue: 5
  • Publication Date: 1998
  • Doi Number: 10.1006/jsvi.1997.1290
  • Title of Journal : JOURNAL OF SOUND AND VIBRATION
  • Page Numbers: pp.845-856

Abstract

Exact solution of free in-plane vibrations of circular arches of uniform cross-section is given by considering axial extension, transverse shear and rotatory inertia effects. In contrast with Kirchhoffs beam theory the restrictions of perpendicular cross-section and inextensible are length are removed. The principal axes of the cross-section are assumed to coincide with the principal normal and binormal vectors of the centerline of the beam. A solution procedure is applied to obtain the fundamental matrix for various end conditions. Natural frequencies and mode shapes are given in figures and tables. (C) 1998 Academic Press Limited.