Geodesic
Action of moving loads on the Bernoulli--Euler and Timoshenko beams
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2019), pp. 61-65

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A dynamic behavior of Bernoulli–Euler and Timoshenko beams subjected to a moving concentrated load is considered. A solution of this problem is found and analyzed in the form of a convergent series in the case of a stretched beam and a beam lying on an elastic foundation. The parameter ranges where the results of these two models are coincident are found. It is shown that, under certain conditions, a resonance is possible in such a system. 
@article{VMUMM_2019_5_a12,
     author = {T. I. Zhdan},
     title = {Action of moving loads on the {Bernoulli--Euler} and {Timoshenko} beams},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {61--65},
     publisher = {mathdoc},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_5_a12/}
}
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T. I. Zhdan. Action of moving loads on the Bernoulli--Euler and Timoshenko beams. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2019), pp. 61-65. http://geodesic.mathdoc.fr/item/VMUMM_2019_5_a12/