SCIENTIFIC ABSTRACT KREMENTULO, V.V. - KREMENTULO, V.V.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000826330004-5
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 11
• Document Creation Date: November 2, 2016
• Sequence Number: 4
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

L61705-65 r~,EO-2/EEG(k)-2/EWO(v)/E:90-2/9-A(c)/W(d)/T/EP-C(J)/FSS-2
ACCESSION HR- AP501624i UR/0373/65/000/003/01
56/0M!
AUMORS Kramentulot V. V, (xas"W)
VITISt 1.12he stability of the notion of a arioscW in aCard= suspensionin -the.
-axis
Wesence of a moment about the rotor
L SOURM AN SSSR. Izveetlya~*-~#~ o 90#_ 3i_1 _65t _159-
2,
'TOPIC
VAGS i
!ABSMCTt The stability of -aertairi'motions of a heavy gyroscope in aCaxdaa
-sion was. studied with-the- holo-of the- --chowtv method in the bounds of IL
100MMOnly applied model. rn -66 xodel. selected it is aasymod that the mount acting
'about - the - z axis is such -a iewtaft__ iteady motion a constant)
The solution is carried out for two conditions; 1) the moment is external to the
mechanical systen studied; 2) the moment is internal* * In the internal approach, the'_~'
ring and rotors together form an elantrio wLtor (synchronous or nonsyAchronous) &a&
Ahe M=eUt 14Z Is internal In respect.to the system. TX the moment XA is crGated
xith the help of it device not appearing in the system, (rotor + i=er ring + Outer
ring) 0 then Itz is external in respaot to tho system. The internal moment case WSA
a ied for a he gyroscope with the &tie of the mter ring Vertical# With +
Card

1-92222-6-6 EWT(d)/M.!~Z/BEC(.04
:ACCESSION NR: AP5013132
AUTHOR: Krementulo4 V. V. (Hoscow)
TITLE.- On the stability of motion of
a movable base
BC
UR/0373/65/000/002/0069/0075
q
43
some adjustable gyroscopic instruments on
SOURCE: All SSSR. Izvestiya. Mekhanikaj no. 2, 1965, 69-75
TOPIC TAGS: gyroscope., gyroscope stability, gyroscope motion, approximation mBthod,
stability criterion
The stability of a spherical gyro-vertical compass with aerodynamic
suspension and of a gyro-horizontal compass in the prosence of dissipative forces
was studied analytically,, The equations of motion of the gyro-vertical are
written first, and are followed by the particular solution
The angular moment& are exprf)ssed by
Afv(')-Av*, Afx(2) C (cd + 0).
where A is the equatorial moment of inertia of the gyroscope) 0 is the axial

.-L 209W
ACCESSION NR: AP5013132
moment of inertiaj and (A) is the angular velocity around the z-axis. From these)
perturbatig~ t, equations are obtained and the following Lyapunov function is defined
12V -.A (y I + y2') + Cilas + I(C - A) (Q' v') + HUI x12 +
(C - A) 112 + HUI x2 co)).
It is shown that the~suffioient conditions for the derivative of V to have the
opposite sign of V and hence insure stability.to the gyro-vertical compass are:
OA ' ' ' ' ""'
VI) + -ff Q'Q > 0..
X -A) 01 + CA 0.0>
for all t >/ to, >
2K A)'v*v > 0 (9-> to)
and
(A C) 0*0 11,CAK-1 (Q*U)* > 0 0 > to).-:
A small exainple is given to illustrate this point. 14ext, the exact-equations of
motion for the horizontal gyrocompass are written with the following expression
for the angular momentat MXW K '41 + cos K + T),
+ Wain T) (K> 0)

L 2oggg-66,
;ACCESSION'NR: ~~i3132
The motion is described by T 0, or T* 0
,with the following two conditions for asyvptotic stability:
MIR +C-A>kl> 0, mgI + (C - B) 01 > X, > 0,
g - VU - BUS > X3 > 0 >
4K (D - C) 0-9 - B-01ICs""S >> 0
49(MLR+C-A)v*v+(A-mlR)sv'tx3>0
;n all above the parameters vjjj H are assumed to be functions of time. Origs
!art. has: 29 formulas,
1ASSOCIATIONi none
SUBMITTEN 12Feb64 ENCL 1 00
SUB C(ZEi H9
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Card 313

L 23444-66 EXT(l) ijp(c)
ACC NR, AP6007577 SOURCE CODE1 UH700401661030~00IT0542IW50
AINHOR iKr P~u 0, V, V.-Noscow)
L 2
jollo: none
TITU',: Optimum fly-wheal stabilization of arigid body having one stationary point
SOURCE: Prikladnaya matematiks. i mekhanika, v. 30, no. 1, 1966, 42-50
TOPIC TAGS: flywheel# gyroscope# rigid body motion, dynamic system
ABSTRACT: The analytical design problem of providing optimum stabilization of a rigid
body having one stationax7 point is-,sol A+_1V_111 using a theory similar to the simple
Lyapunov method. The equations of m6lfton for steady state and the perturbed equations
of motion are derived for three identical flywheels directed along three orthogonal
axes. Then the optimum stabilization problem is formulated to find the phase coordi-
nate functions v so as to minimize
(Pit pit PSI 01131 ?11 us) di
and to make the zero solution
of clik = 0(i# k1. 2.3)'
asymptotically stable (where pit Of A are the angular velocity and position coordi-
nates). The methods described by N. N. Krasovakiy (0 stabilizatsii neustoychivykh
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ACC NRi A1170021~Ad SOURCE CODE: UR/0142LI/,56/000/006/0011/0018
AUTHOR: Kmiren't.-ulo, V. V. (Mozcow)
none
TITLE: The use of flywheclu for the optimum stabilization of the rotary motion of a
solid body with alfixed point I I
SOURCE: Inzhenern Iyy zhurnal. Mckhanika tvardogo tela, no. 6, 1966, 11-18
TOPIC TAGS: motion stability, spacecraft stability, astrionic stabilization, gyro-
scope motion equation, Euler equation, Volterra equation, Poisson equation
ABSTRACT. This work is a generalization of re-ccarch performed previously and aimed at
the optimization of flywheel control, and the determination of the optimwi stability
of the initial equilibrium position with respect to speed and coordinates. The notion
of the system is defined by three Euler-VolterTa equations, nine Poisson equations
(kinematic), and t'hree equations of the rotary motion of the flywheels. The problem
is somewhat simplified for the case of a symmetrical gyrostat; the Euler-Krylov angles
and their vectorialization lend themselves to some additional simplifications, so that
the gyrostat motion is defined completely by 12 equations. To solve the stabilization
problem, a "shortened" system of equations is introduced. The fundamental theorem of
Lyapunov's second method is used for the solution of tho analytical design problem of

ACC NR. AP7002688
regulators. The functions obtained are positive definites, and include quadratic
forms. The excitations of the system are expressed in terms of the excitations of
the Krylov angles. In the framework of the suggested stabilization system, the smal-
ler the angular.rotation velocity, the easier it is to stabilize the rotation. It is
more difficult to make a rapidly-rotating gyroscope asymptotically stable, than a
slowly rotating gyroscope. The results can be applied to the spin-stabilization of
spacecraft. Orig. art. has: 36 formulas.
SUB CODE: 20,i~.22/ SUBM DATE: 19Apr66/ ORIG REF. Oll/ OTH REF: 001
Card 2/2

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