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 Kirchhoff's beam theory the restrictions of perpendicular cross-section and inextensible arc 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.
| Original language | English |
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| Pages (from-to) | 845-856 |
| Number of pages | 12 |
| Journal | Journal of Sound and Vibration |
| Volume | 209 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 5 Feb 1998 |