 | | 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: | | 10482 |
| In Russian (ΟΜΜ): | | 9683
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| In English (J. Appl. Math. Mech.): | | 799 |
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| S.V. Morgunov, "The use of splitting of the equations of motion in the numerical solution of problems of the dynamics of elastic systems," J. Appl. Math. Mech. 76 (2), 250-252 (2012) |
| Year |
2012 |
Volume |
76 |
Issue |
2 |
Pages |
250-252 |
| Title |
The use of splitting of the equations of motion in the numerical solution of problems of the dynamics of elastic systems |
| Author(s) |
S.V. Morgunov (Dubna, Russia, smorgunow@rambler.ru) |
| Abstract |
Linear elastic systems with a finite number of degrees of freedom, the initial equations of motion of which are constructed using the finite element method or other discretization methods, are considered. Since, in applied dynamics problems, the motions are usually investigated in a frequency range with an upper bound, the degrees of freedom of the initial system of equations are split into dynamic and quasi-dynamic degrees. Finally, the initial system of equations is split into a small number of differential equations for the dynamic degrees of freedom and into a system of algebraic equations for determining the quasi-static displacements, represented in the form of a matrix series. The number of terms of the series taken into account depends on the accuracy required. |
| Received |
25 January 2011 |
| Link to Fulltext |
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