Abstract
Dynamic behavior of variable cross section Timoshenko beams resting on elastic foundation and subjected to two travelling loads is investigated. The vibrating system of beam structure and the simultaneous equations were treated using Galerkin and integral transform techniques. Closed form solution was obtained for both the transverse displacement response and the rotation the variable cross section Timoshenko beams under the travelling loads. From the analytical and numerical results, as the magnitude of foundation stiffness increases, the deflection profile of the Timoshenko beam decreases. Likewise, amplitude of deflection diminishes as the distance between the loads increases. The state at which the structure-load system experience resonance condition is established.
Reference18 articles.
1. Adedowole, A. & Famuwagun, K.S. (2017). Simply supported non prismatic beam resting on variable elastic foundation carrying travelling harmonic loads. Journal of Emerging Trends in Engineering and Applied Sciences (JETEAS), 8(2), 98-103.
2. Adedowole, A. (2019). On the response of non-prismatic rotating Timoshenko beam under the actions of concentrated loads travelling at time dependent speeds. Iconic Research and Engineering Journals, 3(3), 102-114. Adedowole, A. & Jimoh, S.A., (2018). Dynamics analysis of a damped non uniform beam subjected to loads moving with variable velocity. Archives of Current Research International, 13(2), 1-16. https://doi.org/10.9734/ACRI/2018/35919
3. Arboleda-Monsalve, L.G., Zapata-Medina, D.G. & Aristizabal-Ochoa, J.D. (2007). Stability and natural frequencies of a weakened Timoshenko beam-column with generalized end conditions under constant axial load. Journal of Sound and Vibration, 307(1-2), 89–112. https://doi.org/10.1016/j.jsv.2007.06.059
4. Bennett, J.A. & Eisley, J.G. (1970). A multiple degree-of-freedom approach to nonlinear beam vibrations. AIAA Journal, 8, 734-739. https://doi.org/10.2514/3.5749
5. Das, D., Sahoo, P. & Saha, K.N. (2007). Large amplitude forced vibration analysis of thin beams for different boundary conditions and loading pattern. Proceedings of 52nd Congress of The Indian Society of Theoretical and Applied Mechanics, 2007, Bangalore, pp. 43-50.