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Structural Engineering and Mechanics Volume 57, Number 6, March25 2016 , pages 969-988 DOI: https://doi.org/10.12989/sem.2016.57.6.969 |
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Comparative dynamic analysis of axially loaded beams on modified Vlasov foundation |
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Caglayan Hizal and Hikmet Huseyin Ctal
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Abstract | ||
Vibration analysis of the beams on elastic foundation has gained the great interest of many researchers. In the literature, there are many studies that focus on the free vibration analysis of the beams on one or two parameter elastic foundations. On the other hand, there are no sufficient studies especially focus on the comparison of dynamic response including the bending moment and shear force of the beams resting on Winkler and two parameter foundations. In this study, dynamic response of the axially loaded Timoshenko beams resting on modified Vlasov type elastic soil was investigated by using the separation of variables method. Governing equations were obtained by assuming that the material had linear elastic behaviour and mass of the beam was distributed along its length. Numerical analysis were provided and presented in figures to find out the differences between the modified Vlasov model and conventional Winkler type foundation. Furthermore, the effect of shear deformation of elastic soil on the dynamic response of the beam was investigated. | ||
Key Words | ||
Vlasov type foundation; Timoshenko beam; forced vibration; separation of variables method | ||
Address | ||
Caglayan Hizal: Department of Civil Engineering, Engineering Faculty of Izmir Institute of Technology, 35430, Urla, Izmir, Turkey Hikmet Huseyin Ctal: Department of Civil Engineering, Engineering Faculty of Dokuz Eylul University, 35160, Buca, Izmir, Turkey | ||