Papers by Alexandr Zakrzhevskii
ABSTRACT The cable-suspension method is used to simulate weightlessness on Earth in the general c... more ABSTRACT The cable-suspension method is used to simulate weightlessness on Earth in the general case. By an example of mathematical simulation of a system of rigid bodies connected via hinged joints and suspended from a special facility, it is shown that the method developed provides realistic simulation of orbital processes under earth conditions. The validation criterion for the simulation is the closeness of the values of the forces and moments in joints and the attitude and angular velocities to their theoretical values in orbital motion
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International Applied Mechanics, 1999
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International Applied Mechanics, 2004
The dynamics of a system of rigid bodies with program-variable configuration is analyzed. A mathe... more The dynamics of a system of rigid bodies with program-variable configuration is analyzed. A mathematical model is constructed using methods of analytical mechanics. The behavior of a microsatellite with a deployable gravity-gradient boom is analyzed as a numerical example
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International Applied Mechanics, 2007
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International Applied Mechanics, 2006
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Journal of Modeling, Simulation, Identification, and Control, 2014
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Acta Astronautica, 2009
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Int Appl Mech Engl Tr, 1979
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Int Appl Mech Engl Tr, 1980
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Int Appl Mech Engl Tr, 1973
lengthwise forces with a resultant force P(t). The motion starts from the state of rest. The forc... more lengthwise forces with a resultant force P(t). The motion starts from the state of rest. The force P(t) increases from a quantity equal to the weight of the reservoir with liquid, smoothly approaching a constant quantity P0 at some time instant t = T. It is required that at this instant the mass center of the system be at a point specified in advance.
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International Applied Mechanics, 2001
A mechanical and mathematical model of the pneumatic controller (reducer) of a spacecraft instrum... more A mechanical and mathematical model of the pneumatic controller (reducer) of a spacecraft instrumentation module is considered. This model accounts for the interaction between the gas, the moving parts of the reducer, and the environment. A method is proposed to construct stationary solutions of the relevant system of differential equations. An algorithm for realization of the method is developed. The
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Journal of Spacecraft and Rockets, 2013
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Journal of Guidance, Control, and Dynamics, 2008
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1998
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International Applied Mechanics, 2000
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International Applied Mechanics, 1994
In programming the angular motion of a rigid body with attached elastic elements about the center... more In programming the angular motion of a rigid body with attached elastic elements about the center of mass, a key step is determination of the law governing changes over time in that part of the kinetic moment of the object which is connected with the dynamics of the elastic elements. Such a determination entails the summation of infinite series and the solution of an infinite system of differential equations. The approach traditionally employed here is to keep a finite number of terms in the series and examine a finite number of equations of motion by discarding all generalized coordinates except for a few chosen either intuitively or on the basis of certain truncation criteria. The size of the truncation error remains open to question in the latter case and is at best no smaller than the error of asymptotic methods. Below, we will assume that the character of the motions to be studied is such that, as in [3], terms higher than the first order relative to the generalized coordinates and the rates of elastic displacement can be ignored in the expression for the kinetic moment. Then the expression for the kinetic moment of the system relative to the center of mass takes the form
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International Applied Mechanics, 1993
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International Applied Mechanics, 2010
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International Applied Mechanics, 1996
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Soviet Applied Mechanics, 1982
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Papers by Alexandr Zakrzhevskii