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, cilt.209, ss.845-856, 1998 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 209 Konu: 5
  • Basım Tarihi: 1998
  • Doi Numarası: 10.1006/jsvi.1997.1290
  • Dergi Adı: JOURNAL OF SOUND AND VIBRATION
  • Sayfa Sayıları: ss.845-856

Özet

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.