SCIENTIFIC ABSTRACT POTAPENKO, A.A. - POTAPENKO, V.I.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001342710002-1
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: January 3, 2017
• Document Release Date: August 1, 2000
• Sequence Number: 2
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

88190
S11401601000100610161018
C111/C222
Determination of the Periodic Solution of a Differential Rouation
the Fourier coefficient a must be - 0 . It is stated : In order that to
0
the generating solution (5) there correspeonds a 216 -periodic solution of
(1) which for Av - 0 degenerates in the generating solution, it is
necessary and sufficient that N0 is a simple root of the equation
211, 00 00 1
(13) 1 + Z (a cos nT' + b sin n r), 2: -jj (-a sin n'(/ +
Os nul n-o
+ bn cos n V ), 01 dT - 0
and it holds
(16) f(t)dt - 0
0
The author gives more complicated conditions which are based on the results
of N.P. Yerugin (Ref- 3), for the case that N 0 is a multiple root. In the
first Cade (K - simple root) for the effective determination of the
0
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88190
S/14 6o/ooo/oo6/o16/018
C1 I 1YC222
Determination of the Periodic Solution of a Differential Equation
proved periodic solution it is put
(20) X - X 0 + IA- X1 + /4'2x2 +
where x 0 is the generating solution and ri, x 21 x3are unknown 21L- -
periodic functions. If x 1, x2"**' xi-, are calculated and if they all
are periodic, where
(26) Xj - Tj (t) + N 0 - 1,2,..., i - 1)
where TJM are 276- - periodic and 11 1 are constants, then for known
N19 N29"'t Ni-2 one obtains for I i-1t
27 Ifi-I(t) + f'~ ]p "Pi_1(t) + Fi(t) dt
~71)
(27) Ni-1
) dt
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88190
S/14 6o/ooo/OD6/016/018
C1 1 1YC222
Determination of the Periodic Solution of a Differential Equation
where the parentheses ( ) denote that the expressions are calculated for
the generating solution, and where 7 1 is a rational entire function of the
x1' X2'***' xi-2 and the partial derivatives of F with respect to x and
i calculat6d.. for the generating solution.
To every okeple root N of (13) there uniquely corresponds a series (20)
satisfying (1) and repoesenting the single sought 2Z - periodic solution
converging for sufficiently
There are 3 references : 2 S:vTlelt~`an~ 1 French.
ASSOCIATIONs Leningradskiy zaochnyy politekhnicheskiy institut
(Leningrad Polytechnical Correspondence Institute)
SUBMITTEDs November 22, 1958
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:j_l.8984-63 E;WT(d)/BDS AFFTC/ASD/A?MDC/BSD-3/AV.GC Pg-4/Pk-4/
P1.'-4/Pa_4/Pq-4 tc
ACCESSION NR: AP3005683 S/0146163/006/00410098/0109
AUTHORL-raleboy. Ye. P',; P21~,peako, A. A.
TITLE; Some problems in the theory of a gyro-horizon compass io
SOURCE: 1VUZ. Priborostroyaniye, V.I. no. 4, 1963, 98-109
TOPIC TAGS: gyrocompasso compass theory
-17
ABSTRACT: A theoretical analysis of this problem is presented: Considering
that the Earth iB oblate, are there any directions which the z-axis of a gyro
frame wouid preserve under conditions of the arbitrary movement of the suspen-
sion point (with specified initial conditions and parameters of the frame)? TheI
analysis shows that the oblateness of the Earth causes: (a) a certain variation in
conditions of undisturbed motion, and (b) some variation of the nature of the
movement of the gyro -horizon -co mpas a sensing element with respect to the posi-1:
tion under undisturbed -motion conditions (with arbitrary movement of the
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L 18984-63
ACCESSION NR.: AP3005683
puspension. point) when the Earth is assumed to be a sRhere. In general, these
variations are within Ifs. Orig. art. has: 4 figures and 41 formulas.
ASSOCIATION: Severo-zapadny*y politekhnicheskiy institut (North-Wes tern
P
SUBMITTED: ZV0ct6Z
SUB CODE: AE
DATE ACQ: 06Sep63
NO RET SOV: 002
ENCL: 00
OTHZR: 000
Xard 212

jj,q4~00
3 273 6
S/140/61/000/004/009/013
C111/C222
AUTHORs Potapenko, A. A
TITLE: On the integration of the equation of Hill
PERIODICALs Izvestiya vysshikh uchebnykh zavedeniy. Matematika,
noo 4, 1961, 104-111
TEXT: The author considers the equation
d2y + y 0 (1)
dT2
where
kV a +
and
00
T- a cos n'C
n-1
(2)
00 00
a = Z a., m ,an= Z anm 6L m (n=l, 2,3, (3) -
M=O M=1 2
He investigates the cases a0,0 -e- 0 and a0'0T,where k is an
~n tag% In the first case the author seeks the solution with the
,ar

32736
S/140/61/000/004/009/013
On the integration of the . . . C111/C222
Y, Cos C .T+i iAs,nWcosnT1_ sin cz i Bj, n to sin cv.,
, , 8-1 n-I I .$-I n-I (39)
Y2 Cos C.Cj I B,, n jo sin n-c + sin ct 1 + E A,,. jo cos nt
Under the assumption ak = 0 the second case ao,o - k is treated
4
according to the same method. The author also finds a complex solution
the real part and imaginary part of which form a fundamental system.
There are 3 Soviet-bloc and 5 non-Soviet-bloc references. The reference
to the 4 English-language publications read as follows: N. V. Mac-Lach-
lan. Teoriya i prilozheniya funktsiy Matte (Theory and application of'
Mathieu functions), IIL, M., 1953; E. Ince. General solution of Hill's
equation. Monthly Notices of Royal Astronomical Society,' V. 75, P-436,
1915; E. Ince. (zamechaniya k E61 ).t-Remarks to (Ref. 6)] , ibidem
v. 76, P. 431, 1916; E. Ince (Dallneyshiye zamechaniya k L6-])
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32730'
S11401611000100410091C13
On the integration of the . . . Clll/C222
I-Purther remarke to (Ref. 6~_J , ibidem V- 78, P- 141, 1917.
ASSOCIATION: Severo-zapadnyy zaochnyy politekhaichenkiy institut
(North-Western Polytechnical Correspondence Institute)
SUBMITTED: March 19, 1959
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GLEBGVP Ye.P. (Leningrad); POTAPENKOI A.A. (Leningrad)
I
Method of consecutivo approx izaa t ions. Izv. vyi. ucheb. zalr.,
mat. no.509-42 163. (MIRA 16:11)

M�R~~%WAM -
A.- t.1~7xc-,;"f-vI; /~, //,
PMaRNKO, A A 1W_ , ,
Sone applications of IA. Miisinskiils calculus of operations to
antonatic control systems with random disturbances [with summary
in Englieb.]. Vest. IM no.19:129-134 157. (MMA 11:1)
(Calculus of operations) (Automatic control) (Gyroscope)

AUTHOR. Potapenko,_..A.A. 43-58-13-17/17,
TITLE: The Determination of the Number of Oscillations of a Mechanic
Systemy~Opredeleniye chisla kolebaniy odnoy mekhanichesk,oy
sistem
PERIODICAL: Vestnik Leningradskogo universiteta, Seriya matematiki,
mekhaniki i astronomii, 1958, Nr 130), PP 156-159 (USSR)
ABSTRACT: Let the motion of a material point be described by the equations
-dx -PX3 _~>~2 - F, ~ >O
- Kx - Ax 3 + Vi *2+ F, ~ Ek - 1-58 X 10-8 n/Te), was applied to a plasma produced In the stellarator cham-
bei-* a pre-ionization generator. All the experiments were made at initial neutral- F
helium pressures 5 x 10-S -- 8 X 10-4 mm Hg. The experiments consisted of measuring
the-plasma current and the loop voltage in the chamber, the plasma density, the x-
radiation from the diaphragm limiting the plasma pinch and from the chamber walls,, the

ACC NR- AP6008748
raicrowave radiation from the plasma, and the integral amount of light. With increa-ze
in field, the initially sinueoidal current signal became distorted, and after build-up
of the oscillations, the current decreased to a value I = 100--200 A, at which level
it remained for 10--20 psec, although a rather large electric.field was applied to the
plasma. In all the intervals of the investigated neutral gas pressure and electric
and magnetic field intensities the discharge was accompanied by microwave emission
f~rom the plasma at wavelengths :~ = 2-4 cm. In stronger electric fields a broad spec-
trum of oscillations was excited in the plasma at wavelengths 4.6--200 cm, with the
maximum radiated power in the 12--15 cm interval. In electric fields stronger than
critical., the plasma emits also intense x-rays,from which it is deduced that the plas-
ma contains a group of electrons with almost-Maxwellian velocity distribution and with
a temperature that ranges from 4 to 9 kev. Measurements of the integral amount of
light have shown that at the instant of excitation of the collective processes and
appearance of x-radiation from the chamber walls the intensity of plasma glow de-
creases abruptlyp thus confirming indirectly the fact that the electrons become heated
Authors thank K. D. Sinellnikov for interest in the work and valuable discussions.
Orig. art. has: 2 figures.
SUB CODE: 20/ SM DATE: 31jan66/ oRiG REF: oo3/ OTH REF: 002
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L
ACC
NRt
AUTHORSi
AP6 1124 SOURCE CODEz U
Klimov, D. AT. (Moscow); Potapenkofj.~ A. (Moscow)
ORG: none
76-67000T001[0003 05,
2
4 7w
TITLE: Drift of a gyroncope-in a Cardan suspension on a movablo base
SOURCE! Inzhenernyy zhurna.0 Mekhanika t-verdogo Lela, no. 1, 1966, 3-5
TOPIC TAM gyroscope, gyroscope motion, mathematical analysis, inertial axis
ABSTRAM The drift of a friution-fvco [,~yronropo in it Cavdrui aunponolon !it analy'zod.
As ahown in Fig. 1,'a small gyroscope is connected to the exterital ring of the main
gyroscopq. A mathematical analysis of the combined motion shows that the two drift
rates, OC around the external axis and A around the internal axis, are expressed by
0') abliga sin (a
211 coO 6,5"
The brackets in these expressions denote time averages. A more general analysis
indicates that the motion of the Gyroscope platform results in a rotation around the
external axis relative to inertial space.
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1 1. 39804-66
IF~7c-6 NR. AP6011124 jr ~ /I--,
.Yj "
Orig. art. has: 13 equations and 4 figures.
SUB CODE: 17, 20/ SUBM DATE: 13Aug65/ ORI*G REF: 002
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Pig. 1.

ZHABITSKIY, P.P. (Zhabytslkyi, 1).P.)j POTAPENKOp V.D.
Use of polyacrylamides for the improvement of the physicomechanical
properties of superphosphates. Rhim.prom. (Ukr.] no-102-34
Ja-Mr 164. (MIM 17:3)

ZRiMEVSKIY,t,~G.N., kand. tekhn.nauk (g.Gamel'); PC
Q.Gomel')
Transitorized rail flaw detector. Put'i put.khoz. 5 no-504-35
MY 161. (MIRA 14:6)
(Railroads-Rails-Defects) (Transistors)

POTAFENKO, V.D., kand.khim.nauk; BROVCHENKO, M.D., inzh.
Waterproofing tensiometer transmitting elements when
studying reinforced concrete. Bet. i zhel.-bet. 8
n0-1-1:521-522 N 162. (MIRA 15:11)
(Tonsiometers)
(Protective coatings)

135-4-14/15
SUBJEM USSR/Welding
AUTHOR: Potapenko, V.I., Engineer
TITLE; Conference of Machinebuilding and Welding Engineers of the
Stalino Region (Konferentsiya avarshchikov-machinostroiteley
Stalinsk6y oblasti).
PERIODICAL: "Svarochnoye Proizvodstvo", 1957, # 4, P 28, (USSR),
ABSTRACT; General information on the conference in Kramatorsk on 9-10
January 1957, organized by the Stalino Regional Board of the
Scientific-Technical Society of Machinebuilding,
A considerable part of reports was concerned with problems of
introducing the electric slag-welding method, and with the pro-
duction of cast-welded and forged-weldad constructions, etc.
One report by Engineer A.F~ Nadtochenko dealt with the experi-
ence of the Novo-Kramatorsk Plant in the production of welded
press frames. The gusts were shown electric Blag-welding of
hydraulic turbines and generators, sheet-electrode welding
"3varka plastinchatymi electrodamy") of rolling mill frames,
and devices for slag-welding at this plant.
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