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Structural Engineering and Mechanics
  Volume 65, Number 1, January10 2018 , pages 9-17

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

    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.
Key Words
    dynamic stiffness; multi-bay frame; multi-storey frame; natural frequency; single variable shear deformation
Baran Bozyigit and Yusuf Yesilce: Department of Civil Engineering, Dokuz Eylul University, 35160, Buca, Izmir, Turkey

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