 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 58, Issue 7 / 2023 | Next article >> |
| M.Z. Dosaev, "On the Flexibility of a Sliding Vertical Support of a Flat Design," Mech. Solids. 58 (7), 2563-2573 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
7 |
Pages |
2563-2573 |
| DOI |
10.3103/S0025654423070075 |
| Title |
On the Flexibility of a Sliding Vertical Support of a Flat Design |
| Author(s) |
M.Z. Dosaev (Institute of Mechanics, Lomonosov Moscow State University, Moscow, Russia, dosayev@imec.msu.ru) |
| Abstract |
A flat body on hinged supports is considered. One of the supports is connected to the body
by means of a sliding attachment. The flexibility of the support rods is modeled by a hinge with a helical spring of sufficient stiffness to prevent relative rotation. It is shown that the linearization of the
equilibrium equations makes it impossible to estimate the equilibrium position. The equilibrium position is sought in the form of a series in terms of the reciprocal of the helical spring stiffness coefficient.
It is shown that as the helical spring stiffness coefficient tends to infinity and the helical spring
moment, which models the internal bending forces in the rods, tends to infinity. For the case of vertical
equilibrium, an estimate is given of the tangential reaction in the support hinge, which occurs when
additional loads are introduced and in the case of small oscillations. In all the cases considered, the
reaction that occurs in the supports is much greater than the body’s weight. |
| Keywords |
sliding attachment, elastic spring, equilibrium position, reaction in the support |
| Received |
05 April 2023 | Revised |
15 June 2023 | Accepted |
20 June 2023 |
| Link to Fulltext |
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