 | | 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
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| In English (Mech. Solids): | | 4760 |
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| S.S. Gavryushin and A.S. Nikolaeva, "Method of Change of the Subspace of Control Parameters and Its Application to Problems of Synthesis of Nonlinearly Deformable Axisymmetric Thin-Walled Structures," Mech. Solids. 51 (3), 339-348 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
3 |
Pages |
339-348 |
| DOI |
10.3103/S0025654416030110 |
| Title |
Method of Change of the Subspace of Control Parameters and Its Application to Problems of Synthesis of Nonlinearly Deformable Axisymmetric Thin-Walled Structures |
| Author(s) |
S.S. Gavryushin (Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, Moscow, 105005 Russia, gss@bmstu.ru)
A.S. Nikolaeva (Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, Moscow, 105005 Russia) |
| Abstract |
The theoretical foundations, methods, and algorithms developed to analyze the stability and postbuckling behavior of thin elastic axisymmetric shells are discussed. The algorithm for numerically studying the processes of nonlinear deformation of thin-walled axisymmetric shells by the solution parametric continuation method is generalized to solving the practical problem of design of mechanical actuators of discrete action. The synthesis algorithm is based on the method of changing the subspace of control parameters, which is supplemented with the procedure of smooth transition in changing the subspaces. The efficiency of the proposed algorithm is illustrated by an example of synthesis of a thermobimetallic actuator of discrete action. The procedure of determining an isolated solution, whose existence was predicted by V. I. Feodosiev, is considered in the framework of studying the process of nonlinear deformation of a corrugated membrane loaded by an external pressure. |
| Keywords |
nonlinear deformation, synthesis problem, thin-walled axisymmetric shell, actuator, postbuckling behavior, discrete switching, numerical algorithm, parametric continuation, changing the subspace of parameters, smooth transition procedure |
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|
| Received |
05 February 2016 |
| Link to Fulltext |
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