 | | 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 (ÏÌÌ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| V.A. Buzhinskii, "The equations of the perturbed motion of a rocket as a thin-walled structure with a liquid," J. Appl. Math. Mech. 73 (6), 692-695 (2009) |
| Year |
2009 |
Volume |
73 |
Issue |
6 |
Pages |
692-695 |
| Title |
The equations of the perturbed motion of a rocket as a thin-walled structure with a liquid |
| Author(s) |
V.A. Buzhinskii (Korolev, Russia, valery-buzhinsky@yandex.ru) |
| Abstract |
The perturbed motion of a rocket as an elastic thin-walled structure with compartments partially filled with liquid propellant is considered. It is assumed that the normal modes of the hydroelastic oscillations of the rocket are determined under the condition that the velocity potential on the free surface of the liquid is equal to zero and with standard remaining conditions. Certain features of these modes with zero fundamental frequencies are pointed out and the “loss” of mass effect associated with this is explained. Equations are derived for the perturbed motion of a rocket taking account of the hydroelastic oscillations of its structure and the oscillations of the liquid with deviations of the free surface from the equilibrium position under the action of mass forces. The coefficients of these equations, characterizing the relation between the different type of oscillations, are expressed in terms of known hydrodynamic parameters and the values of the oscillation modes at certain points. |
| Keywords |
Inertia tensor; sloshing modes; sloshing frequencies; finite element method |
| Received |
19 August 2008 |
| Link to Fulltext |
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