Free Vibration Analysis of Multi-span Timoshenko Beams on Elastic Foundation Using Dynamic Stiffness Method

Year 2019, Volume: 3 Issue: 2, 74 - 80, 10.10.2019

Baran Bozyigit , Yusuf Yesilce

Abstract

In this study, the exact
first five natural frequencies of three-span Timoshenko beams on Winkler
foundation are calculated using dynamic stiffness formulation. Different
elastic foundation spring constants and different beam cross-sections are used
to reflect their effects on natural frequencies. Moreover, the natural
frequencies are also calculated via structural analysis software SAP2000 and
tabulated with exact results. It is seen that the influence of elastic
foundation spring stiffness in inner span is high in comparison with outer
spans. The cross-section of the beam plays an important role on natural
frequencies of multi-span Timoshenko beams on Winkler foundation.

Keywords

Dynamic stiffness, free vibration, multi-span Timoshenko beam, Winkler foundation

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