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Russian Academy of Sciences
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IssuesArchive of Issues2009-6pp.692-695

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
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 http://www.sciencedirect.com/science/journal/00218928
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