 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| Yu.I. Vinogradov, "A multiplicative method of solving boundary value problems of shell theory," J. Appl. Math. Mech. 77 (4), 445-451 (2013) |
| Year |
2013 |
Volume |
77 |
Issue |
4 |
Pages |
445-451 |
| Title |
A multiplicative method of solving boundary value problems of shell theory |
| Author(s) |
Yu.I. Vinogradov (Moscow, Russia, vino.yuri@rambler.ru) |
| Abstract |
The boundary conditions are transferred to an arbitrarily chosen point by multiplication of matrices (multiplicatively). The transfer matrices of the boundary conditions are an analytic solution of a system of first-order linear ordinary differential equations in canonical form of the mechanics of the deformation of shells in the form of values of Cauchy-Krylov functions. At an arbitrarily chosen point, the boundary conditions are combined in a system of algebraic equations in matrix form, columns of the unknown quantities of which are parameters of the required values of the problem. The effectiveness of the method – the simplicity with which it can be realized on a computer, the low costs of computer time and the RAM - is based on the multiplicative transfer of the boundary conditions into matrix form. The class of problems is limited by the possibilities of the Fourier method of separation of the variables in partial differential equations. |
| Received |
10 October 2012 |
| Link to Fulltext |
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