Investigation of natural frequencies of multi-bay and multi-storey frames using a single variable shear deformation theory

BOZYİĞİT B., YEŞİLCE Y.

STRUCTURAL ENGINEERING AND MECHANICS, cilt.65, sa.1, ss.9-17, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 65 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.12989/sem.2018.65.1.009
  • Dergi Adı: STRUCTURAL ENGINEERING AND MECHANICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.9-17
  • Anahtar Kelimeler: dynamic stiffness, multi-bay frame, multi-storey frame, natural frequency, single variable shear deformation, DYNAMIC STIFFNESS MATRIX, FREE-VIBRATION ANALYSIS, BEAMS
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

This study concerns about calculating exact natural frequencies of frames using a single variable shear deformation theory (SVSDT) which considers the parabolic shear stress distribution across the cross section. Free vibration analyses are performed for multi-bay, multi-storey and multi-bay multi-storey type frame structures. Dynamic stiffness formulations are derived and used to obtain first five natural frequencies of frames. Different beam and column cross sections are considered to reveal their effects on free vibration analysis. The calculated natural frequencies are tabulated with the results obtained using Euler-Bernoulli Beam Theory (EBT) and Timoshenko Beam Theory (TBT). Moreover, the effects of inner and outer columns on natural frequencies are compared for multi-bay frames. Several mode shapes are plotted.