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Analysis of stressed Timoshenko beams on two parameter foundations

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Abstract

In the present work, the static and dynamic behaviors of a Timoshenko beam subjected to a static axial compression load and a dynamic lateral load resting on a two parameter foundation have been studied using Adomian Decomposition Method (ADM). After verifying the obtained expressions by comparing its results with those found in literature, it is used to calculate the critical loads in the static case, natural frequencies for free vibration and beam response in forced vibrations. Parametric study is conducted to investigate the influences of different beam and foundation parameters on the critical loads, the natural frequencies and the response of the beam.

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Correspondence to Mohamed Taha Hassan.

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Hassan, M.T., Nassar, M. Analysis of stressed Timoshenko beams on two parameter foundations. KSCE J Civ Eng 19, 173–179 (2015). https://doi.org/10.1007/s12205-014-0278-8

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