 | | 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: | | 13205 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8140
|
| In English (Mech. Solids): | | 5065 |
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| << Previous article | Volume 60, Issue 2 / 2025 | Next article >> |
| A.A. Burov, "On the Sensitivity of Equilibria to the Method of Realization of Unilateral Constraints with Piecewise Smooth Boundaries," Mech. Solids. 60 (2), 795-811 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
2 |
Pages |
795-811 |
| DOI |
10.1134/S0025654424604373 |
| Title |
On the Sensitivity of Equilibria to the Method of Realization of Unilateral Constraints with Piecewise Smooth Boundaries |
| Author(s) |
A.A. Burov (Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, 119333 Russia, jtm@narod.ru) |
| Abstract |
Two ways of implementing unilateral holonomic constraints with piecewise smooth bound-aries are considered. Examples are given that testify both in favor of the proposed methods and against
them. The sensitivity of the equilibria of a system subjected to holonomic constraints with piecewise
smooth boundaries to the way these constraints are implemented is also discussed using examples.
Two problems from the mechanics of systems constrained by a pair of inextensible weightless tethers
are considered. In one of these problems, which is most likely academic in nature, equilibria are found
and small oscillations near these equilibria are studied. Another problem relates to tethered systems
deployed near a uniformly rotating celestial body. For it, the relative equilibria of a load suspended on
a pair of tethers are found, and sufficient conditions for the stability of these relative equilibria are studied. |
| Keywords |
equilibria of mechanical systems subjected to constraints, holonomic constraints, ways of implementing constraints, unilateral constraints, piecewise smooth constraints |
| Received |
22 June 2024 | Revised |
30 July 2024 | Accepted |
12 August 2024 |
| Link to Fulltext |
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