EXACT SOLUTION OF IN-PLANE VIBRATIONS OF CIRCULAR ARCHES WITH ACCOUNT TAKEN OF AXIAL EXTENSION, TRANSVERSE SHEAR AND ROTATORY INERTIA EFFECTS

✍ Scribed by E. Tüfekçi; A. Arpaci

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 176 KB
• Volume: 209
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1997.1290

✦ Synopsis

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.