 | | 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
|
| In English (Mech. Solids): | | 4810 |
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| K.Sh. Mkrtchyan, "Study of Forced Transverse Vibrations of Elastic Hinge-Operated Rod Taking Into Account Rotative Movement," Mech. Solids. 54 (1), 112-121 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
1 |
Pages |
112-121 |
| DOI |
10.3103/S0025654419010096 |
| Title |
Study of Forced Transverse Vibrations of Elastic Hinge-Operated Rod Taking Into Account Rotative Movement |
| Author(s) |
K.Sh. Mkrtchyan (Institute of Geophysics and Engineering Seismology after A. Nazarov NASRA, ul. V. Sargsyan 5, Gyumri, 3115 Republic of Armenia, karush.mkrtchyan.57@mail.ru) |
| Abstract |
The forced transverse oscillations of an elastic hinge-supported rod under the action of a normal concentrated time-periodic force are investigated. The problem is solved by the method proposed in [1] using combined conditions, including the dynamic impact on the rod and the rotational motion relative to the bending wave front. In the framework of the linear theory of thin rectilinear inextensible rods the equation of motion and the system of equations of transverse vibrations of an elastic rod are obtained using the Hamilton-Ostrogradsky principle. The solution of the problem is built in the form of a number of own forms of vibrations. Two types of forced transverse oscillations and new resonant frequencies were obtained. Numerical results of calculations are given in the form of tables, graphs; the analysis of the results is provided. |
| Keywords |
rod, cross section, gravity, transverse oscillations, natural frequencies, natural forms |
| Received |
22 June 2017 |
| Link to Fulltext |
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