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Bernoulli-Euler beam under action of a moving thermal source: characteristics of the dynamic behavior
- Authors: Morozov N.F.1,2, Indeitsev D.A.1,3,2, Lukin A.V.3, Popov I.A.3, Privalova O.V.3, Semenov B.N.1,2, Shtukin L.V.1,3
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Affiliations:
- Institute of Problems in Mechanical Engineering of Russian Academy of Siences
- Saint-Petersburg State University
- Peter the Great St.Petersburg Polytechnic University
- Issue: Vol 485, No 5 (2019)
- Pages: 579-582
- Section: Mechanics
- URL: https://journals.eco-vector.com/0869-5652/article/view/14302
- DOI: https://doi.org/10.31857/S0869-56524855579-582
- ID: 14302
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Abstract
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.
About the authors
N. F. Morozov
Institute of Problems in Mechanical Engineering of Russian Academy of Siences; Saint-Petersburg State University
Author for correspondence.
Email: o.privalova@mail.ru
Academician of the Russian Academy of Sciences
Russian Federation, V.O., Bol'shoy prospect, 61, St. Petersburg, 199178; 7/9, Universitetskaya embankment, Saint-Petersburg, 199034D. A. Indeitsev
Institute of Problems in Mechanical Engineering of Russian Academy of Siences; Peter the Great St.Petersburg Polytechnic University; Saint-Petersburg State University
Email: o.privalova@mail.ru
Corresponding Member of the Russian Academy of Sciences
Russian Federation, V.O., Bol'shoy prospect, 61, St. Petersburg, 199178; 29, Polytechnitcheskaya street, St.-Petersburg, 195251; 7/9, Universitetskaya embankment, Saint-Petersburg, 199034A. V. Lukin
Peter the Great St.Petersburg Polytechnic University
Email: o.privalova@mail.ru
Russian Federation, 29, Polytechnitcheskaya street, St.-Petersburg, 195251
I. A. Popov
Peter the Great St.Petersburg Polytechnic University
Email: o.privalova@mail.ru
Russian Federation, 29, Polytechnitcheskaya street, St.-Petersburg, 195251
O. V. Privalova
Peter the Great St.Petersburg Polytechnic University
Email: o.privalova@mail.ru
Russian Federation, 29, Polytechnitcheskaya street, St.-Petersburg, 195251
B. N. Semenov
Institute of Problems in Mechanical Engineering of Russian Academy of Siences; Saint-Petersburg State University
Email: semenov@bs1892.spb.edu
Russian Federation, V.O., Bol'shoy prospect, 61, St. Petersburg, 199178; 7/9, Universitetskaya embankment, Saint-Petersburg, 199034
L. V. Shtukin
Institute of Problems in Mechanical Engineering of Russian Academy of Siences; Peter the Great St.Petersburg Polytechnic University
Email: o.privalova@mail.ru
Russian Federation, V.O., Bol'shoy prospect, 61, St. Petersburg, 199178; 29, Polytechnitcheskaya street, St.-Petersburg, 195251
References
- Sun Y., Liu S., Rao Z., Li Y., Yang Y. // Symmetry. 2018. V. 10. № 8. P. 328-341.
- Fang D., Soh A. K. // Int. J. Solids and Struct. 2008. V. 45. P. 1993-2013.
- Sun Y., Ma J., Yang X., Liu S., Yang J. // Canad. J. Phys. 2017. V. 95. № 10. P. 1012-1022.
- Морозов Н. Ф., Индейцев Д. А., Лукин А. В., Попов И. А., Привалова О. В., Штукин Л. В. // Изв. вузов. Северо-Кавказский регион. Сер. Техн. науки. 2018. № 2 (198). С. 35-44.
- Морозов Н.Ф., Индейцев Д.А., Лукин А.В., Попов И.А., Привалова О.В., Штукин Л.В. // ДАН. 2018. Т. 481. № 6. С. 619-624.
- Морозов Н. Ф., Товстик П. Е. // ДАН. 2013. Т. 453. № 3. С. 282-285
- Слепян Л. И. Нестационарные упругие волны. Л.: Судостроение, 1972. 376 с.
- Нелинейные волны / Под ред. С. Лейбовица, А. Сибаса. М.: Мир, 1977. 319 с.
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