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Keywords = slope inertia-based Timoshenko beam

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16 pages, 3296 KB  
Article
Dynamic Response of Slope Inertia-Based Timoshenko Beam under a Moving Load
by Tuo Lei, Yifei Zheng, Renjun Yu, Yukang Yan and Ben Xu
Appl. Sci. 2022, 12(6), 3045; https://doi.org/10.3390/app12063045 - 16 Mar 2022
Cited by 8 | Viewed by 4219
Abstract
In this paper, the dynamic response of a simply supported beam subjected to a moving load is reinvestigated. Based on a new beam theory, slope inertia-based Timoshenko (SIBT), the governing equations of motion of the beam are derived. An analytical solution is presented [...] Read more.
In this paper, the dynamic response of a simply supported beam subjected to a moving load is reinvestigated. Based on a new beam theory, slope inertia-based Timoshenko (SIBT), the governing equations of motion of the beam are derived. An analytical solution is presented by using a coupled Fourier and Laplace–Carson integral transformation method. The finite element solution is also developed and compared with the analytical solution. Then, a comparative study of three beam models based on the SIBT, Euler–Bernoulli and Timoshenko, subjected to a moving load, is presented. The results show that for slender beams, the dynamic responses calculated by the three theories have marginal differences. However, as the ratio of the cross-sectional size to beam length increases, the dynamic magnification factors for the mid-span displacement obtained by the SIBT and Timoshenko beams become larger than those obtained by the Euler–Bernoulli beams. Furthermore, until the ratio is greater than 1/3, the difference between the calculated results of the SIBT and Timoshenko beams becomes apparent. Full article
(This article belongs to the Topic Advances in Dynamics of Building Structures)
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