IN-PLANE VIBRATION OF CIRCULAR ARCHES WITH VARYING CROSS-SECTIONS

Tüfekci E., Yigit O. O.

INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, cilt.13, sa.1, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1142/s021945541350003x
  • Dergi Adı: INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Curved beam, free vibration, in-plane, varying cross-section, analytical solution, GENERALIZED DIFFERENTIAL QUADRATURE, CURVED BEAMS
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

The in-plane free vibration of circular arches with continuously varying cross-sections is studied by means of the exact solution. The exact solution can be obtained only for a circular arch with constant cross-section. As an approximation, the circular arch with varying cross-sections is divided into a number of arch elements with constant cross-sections. The cross-section of each arch element is determined by averaging the upper and lower cross-sections. Then, the exact solution of free vibrations for each arch element can be obtained by using the initial value method. The axial extension, transverse shear deformation and rotatory inertia effects are included in the analysis. As the number of the arch elements increases, the fast convergence of the frequencies to those of the original arch is observed. Clamped-clamped (CC), hinged-hinged (HH), hinged-clamped (HC), clamped-free (CF) and free-free (FF) boundary conditions are studied for different opening angles, taper types and taper ratios. A detailed parametric study is performed, by which the mode transition phenomenon is observed. The results obtained are compared with those available in the literature.