 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 49, Issue 5 / 2014 | Next article >> |
| A.I. Moshinskii, "Equation of Longitudinal Vibrations of a Beam with Coefficients Periodically Depending on the Coordinate," Mech. Solids. 49 (5), 518-530 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
5 |
Pages |
518-530 |
| DOI |
10.3103/S0025654414050045 |
| Title |
Equation of Longitudinal Vibrations of a Beam with Coefficients Periodically Depending on the Coordinate |
| Author(s) |
A.I. Moshinskii (St. Petersburg Chemical-Pharmaceutical Academy, ul. Professora Popova 14, St. Peterburg, 197376 Russia, alex-moshinskij@yandex.ru) |
| Abstract |
The equation of small longitudinal vibrations of a beam is considered for the case in which the coefficients are periodic and have "gaps" (sharp decreases in the value) at some point in the space inside the periodicity interval. We suggest to describe the process locally in the domain of minimum of the coefficients by an equation of the boundary layer approximation. Attention is mainly paid to the analysis of this equation. A time hierarchy of simplified models for describing this process is established. |
| Keywords |
homogenization, asymptotics, model hierarchy, effective coefficients |
| References |
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|
| Received |
25 July 2011 |
| Link to Fulltext |
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