| | 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: | | 12804 |
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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In English (Mech. Solids): | | 4760 |
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<< Previous article | Volume 49, Issue 1 / 2014 | Next article >> |
L.D. Akulenko and S.V. Nesterov, "Mass Defect Influence on the Longitudinal Vibration Frequencies and Mode Shapes of a Beam," Mech. Solids. 49 (1), 104-111 (2014) |
Year |
2014 |
Volume |
49 |
Number |
1 |
Pages |
104-111 |
DOI |
10.3103/S0025654414010129 |
Title |
Mass Defect Influence on the Longitudinal Vibration Frequencies and Mode Shapes of a Beam |
Author(s) |
L.D. Akulenko (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, gavrikov@ipmnet.ru)
S.V. Nesterov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia) |
Abstract |
The problem of the influence of complicated-shape defects on the natural frequencies and mode shapes of elastic systems is considered. The beam is considered as an example to discover the general properties of defects of various physical nature such as of mass, elasticity, and cross-section. Some notions of damage and a criterion that permits defectoscopy by nondestructive inspection techniques are introduced. The problem is solved in more detail for a free beam with a mass defect. The resonance method is used experimentally to determine the mass defect with high accuracy. The efficiency of the developed numerical-analytic and experimental approaches to studying the properties of elastic systems with defects is confirmed. |
Keywords |
elastic system, defect, beam, mass defect, natural frequencies and mode shapes, resonance method, experimental defectoscopy, damage criterion |
References |
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Mechanics of Deformable Solids
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and Vibration Shapes of Rods,"
Vestnik Nizhegorod. Univ.,
No. 4(2), 32-33 (2011). |
3. | L. D. Akulenko and S. V. Nesterov,
High-Precision Methods in Eigenvalue Problems and Their Applications
(CRC Press Co., Boca Raton, 2005). |
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[J. Comp. Syst. Sci. Int. (Engl. Transl.)
41 (2), 207-212 (2002)]. |
|
Received |
21 September 2013 |
Link to Fulltext |
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