 | | 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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| << Previous article | Volume 51, Issue 2 / 2016 | Next article >> |
| V.N. Voronkov, "Method for Determining the Coupling Parameters for Complex Linear Systems with Discrete Couplings between Subsystems," Mech. Solids. 51 (2), 216-222 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
2 |
Pages |
216-222 |
| DOI |
10.3103/S0025654416020096 |
| Title |
Method for Determining the Coupling Parameters for Complex Linear Systems with Discrete Couplings between Subsystems |
| Author(s) |
V.N. Voronkov (Central Scientific Research Institute for Engineering (TsNIIMash), ul. Pionerskaya 4, Korolev, Moscow Oblast, 141070 Russia, vnvoron@mail.ru) |
| Abstract |
Complex systems whose subsystems interact at finitely many points are considered. The couplings are given by linear homogeneous differential relations.
The problem of determining the coupling parameters is solved. To this end, the system oscillations are represented as linear combinations of harmonic responses of the subsystems. For each point of coupling, one can construct a system of linear algebraic equations for the parameters (rigidities) of this coupling.
The method is intended for determining the values of rigidities of the couplings between blocks of spacecraft carriers. The analytic model of a simplest structure is carried out as an example. |
| Keywords |
system, subsystem, harmonic response, coupling, system of algebraic equations |
| References |
| 1. | V. N. Grishin and V. V. Kirenkov,
"Solution of a Typical Inverse Problem
in Tests of Rocket Space Technology Products,"
Kosmonavtika Raketostr.,
No. 3 (60), 148-157 (2010). |
| 2. | A. N. Tikhonov,
"On the Solution of Ill-Posed Problems
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Dokl. Akad. Nauk SSSR
151 (3), 501-504 (1963)
[Sov. Math. Dokl. (Engl. Transl.)
4, 1035-1038 (1963)]. |
| 3. | L. D. Akulenko and S. V. Nesterov,
"Oscillations of Interacting Systems with
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Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 15-25 (1999)
[Mech. Solids (Engl. Transl.)]. |
| 4. | V. N. Voronkov,
"A Method for Solving Eigenvalue Problems
for Complex Linear Systems,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 178-187 (2005)
[Mech. Solids (Engl. Transl.)
40 (4), 141-148 (2005)]. |
| 5. | V. N. Voronkov,
"On a Method for Solving Eigenvalue Problems for Systems of
One-Dimensional Subsystems with Discrete Constraints,"
Zh. Vych. Mat. Mat. Fiz.
52 (8), 1437-1456 (2012). |
| 6. | L. D. Akulenko and S. V. Nesterov, "Accelerated Convergence Method
for Solving the Periodic Boundary Value Problem," Izv. Akad. Nauk.
Mekh. Tverd. Tela, No. 4, 56-68 (1999) [Mech. Solids (Engl.
Transl.)]. |
| 7. | V. A. Postnov,
"Use of Tikhonov's Regularization Method
for Solving Identification Problem for Elastic Systems,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 64-71 (2010)
[Mech. Solids (Engl. Transl.)
45 (1), 51-56 (2010)]. |
|
| Received |
15 January 2014 |
| Link to Fulltext |
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