 | | 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: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| << Previous article | Volume 58, Issue 7 / 2023 | Next article >> |
| A.A. Bityurin, "Modeling the Amplitude of Transverse Oscillations of a Rod System upon Impact of a Falling Load, Taking into Account Deformation in the Contact Area," Mech. Solids. 58 (7), 2640-2648 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
7 |
Pages |
2640-2648 |
| DOI |
10.3103/S002565442307004X |
| Title |
Modeling the Amplitude of Transverse Oscillations of a Rod System upon Impact of a Falling Load, Taking into Account Deformation in the Contact Area |
| Author(s) |
A.A. Bityurin (Ulyanovsk State Technical University (UlSTU), Ulyanovsk, Ulyanovsk Oblast, Russia, sntk_2015@maul.ru) |
| Abstract |
An oscillatory process of a rod system of arbitrary shape is considered in the course of
impact interaction with a falling load. The system may consist of a large number of rods rigidly or
hingedly connected to each other, the impact occurring on one of the rod elements, thus causing a
complex oscillatory process. As an example, vibrations of a rigidly embedded statically indeterminate
flat twin-pillar frame are simulated, which experiences a drop of a load of a given mass and pre-shock
velocity. One of the vertical frame legs has an initial curvature, the presence of which affects the maximum amplitude of transverse vibrations that occur during impact. The impact of the load on the
frame crossbar is modeled taking into account the deformation in the contact area, which is justified
from the point of view of the accuracy of calculations, since otherwise the impact force magnitude will
be overestimated. When modeling the load impact interaction and the considered rod system, it is
assumed that the falling load has the shape of a cylinder with a certain generatrix length. Linearization
of the relationship between the force and deformation of cylindrical surfaces is used. The proposed
technique for modeling the amplitude of transverse oscillations makes it possible to further study the
oscillatory process characteristics depending on the falling load mass and its pre-impact velocity, as
well as on the rod system configuration. The relevance of the work for the calculation of structural elements of various purposes that are subject to impact is emphasized, since the presented model can be
used for engineering calculations of a wide class of bar systems. |
| Keywords |
rod system, frame, rack, crossbar, deflection, oscillatory process, load, speed, mass, deformation, modeling |
| Received |
11 November 2022 | Revised |
18 May 2023 | Accepted |
20 June 2023 |
| Link to Fulltext |
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