Open AccessBernoulli-Euler beam under action of a moving thermal source: characteristics of the dynamic behavior
Author(s) -
Н. Ф. Морозов,
Д. А. Индейцев,
А. В. Лукин,
I. A. Popov,
O. V. Privalova,
Б. Н. Семенов,
L. V. Shtukin
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524855579-582
Subject(s) - deflection (physics) , mechanics , beam (structure) , boundary value problem , bernoulli's principle , thermal , physics , classical mechanics , conjugate beam method , euler's formula , bending stiffness , mathematics , optics , mathematical analysis , thermodynamics , quantum mechanics
The problem of a heating source acting on a certain part of a beam surface and moving along it with given speed is solved. It is shown that the most significant role in formation of the beam deflection under loading by a compression force is played by concentrated moments occurring at the moving boundary of the heating source. It is noted that for a source speed less than some critical value, the beam deflection is essentially nonmonotonic. In this case, the largest beam bending deflection occurs when the source speed reaches a value corresponding to the Euler critical force.