 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| V. A. Buzhinskiy and S. Yu. Gaev, "Optimal Suspension System for Modal Beam Testing with Ultra-Low Elastic Oscillation Frequencies," Mech. Solids. 57 (2), 333-339 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
2 |
Pages |
333-339 |
| DOI |
10.3103/S0025654422020042 |
| Title |
Optimal Suspension System for Modal Beam Testing with Ultra-Low Elastic Oscillation Frequencies |
| Author(s) |
V. A. Buzhinskiy (Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region, 141701 Russia, buzhinsky.valery@yandex.ru)
S. Yu. Gaev (Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region, 141701 Russia, gaev.syu@phystech.edu) |
| Abstract |
The results of a theoretical study of the influence of string and spring-string suspension systems during modal tests of a beam with ultra-low frequencies of elastic oscillations are presented. The purpose of the tests is to determine the natural frequencies and forms of elastic oscillations of the beam under weightless conditions. The traditional way of hanging with suspension points in the center of mass or at the ends of the selected homogeneous sections of the beam is considered. A string suspension is proposed, the stiffness matrix of which is proportional to the mass matrix of the beam for a linear approximation of the oscillation modes in selected sections of the suspension. In this case, the determination of natural frequencies and forms of elastic oscillations of the beam under weightlessness conditions is based on the property of conservation of eigenvectors and the shift of eigenvalues of linear systems by a constant value. Numerical experiments have established that such a suspension system provides high accuracy of reproduction of natural modes of oscillations under weightless conditions with a small number of suspension points. The natural frequency is determined from the results of modal tests using a simple equation with an error an order of magnitude smaller than with the traditional suspension method. |
| Keywords |
modal testing, gravity effect, ultra-low oscillation frequencies, optimal weightless system, numerical experiment |
| Received |
28 July 2021 | Revised |
04 September 2021 | Accepted |
05 September 2021 |
| Link to Fulltext |
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