RESEARCH PAPER
Transient Vibrations of an Elastic Cylinder Inserted in the Elastic Medium
1
Faculty of Mechanical Engineering, Bialystok University of Technology, Wiejska Str., 45C, 15-351 Bialystok, Poland
2
Faculty of Engineering, University of Pannonia, Egyetem str., 10, H-8200 Veszprem, Hungary
3
Pidstryhach IAPMM, NANU, Naukova str., 3b, 79060 Lviv, Ukraine
Submission date: 2015-05-04
Acceptance date: 2016-05-16
Online publication date: 2016-06-08
Publication date: 2016-06-01
Acta Mechanica et Automatica 2016;10(2):133-136
KEYWORDS
ABSTRACT
Using method of Laguerre polynomials we have obtained the solution of the dynamic problem of the theory of elasticity for elastic cylinder inserted into massive body modeled as a space. The source of non-stationary processes in composite is high intensity force load of the inner surface of the cylinder. On the surface separation of materials of space and cylinder the conditions of ideal mechanical contact are satisfied. The solution is obtained as series of Laguerre polynomials, which coefficients are found from recurrent relations. The results of numerical analysis of transient stress-strain state in elastic space with cylindrical insertion might be used for the technological process of hydraulic fracturing during shale gas extraction.
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| eISSN: | 2300-5319 |
| ISSN: | 1898-4088 |
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