# SCIENTIFIC ABSTRACT BALAKIN, V. A. - BALAKINA, L. M.

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Collection:

Document Number (FOIA) /ESDN (CREST):

CIA-RDP86-00513R000103210003-1

Release Decision:

RIF

Original Classification:

S

Document Page Count:

100

Document Creation Date:

January 3, 2017

Document Release Date:

July 27, 2000

Sequence Number:

3

Case Number:

Publication Date:

December 31, 1967

Content Type:

SCIENCEAB

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CIA-RDP86-00513R000103210003-1.pdf | 6.03 MB |

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ACC NRt AT6030384 ----SOMCE CODEt---UR/0000 00000000
AU-MORS BalAkin V. A.
ORG i nono
TrrLEt Spooial charACteristics of friction and wear of materials
at hi slidinit
~Volocities
SOURCE: AN SSSR. Nauchnn sovet po treniyu I smazochnym
Aaterialam. Novoyo, v toorii
troniya (Recent developments in the theory offriction). Moscow,
Izd-,vo Naukap 1966,
ELI-90
TOPIC TAGS: 1he coefficient of friction depends on the following
factorst the
material and the state of the ci~n-UiTt-surfaces; the
construction of the friction joint
or unit; and the operating conditions (the sliding velocity V;
the specific load Fspt*
the temperature & ; and the temperature Cradlontc)60/D z in the
contact zone). 1h0
article considers the motion of a real point H of r-mss m ,
which is subjected to the
action of a, constant vertical load P = ccnst ovor an absolutely
ririd wavy sinusoidal
surface, for which the wavelength ~ is slanificantly largor than
the amplitude
2'7 200a); this Is valid for a real body for i4iich tho linoar
dimonston L is
substantially loss than the v.-avolength (V. (,f /5)). On Vio
above basis, the author
devolops mathematically four possible cases. It Is demonstrated
that in determination
of the friction coefficient and the wear of materials at high
sliding velocities, it
Card
ACC NRt AT6030384
Is necessary to take into account unsteady state friction
processes caused by the
presence of factors such as undulations and variations in form,
13io author oxpresset.
his gratitlide to his scientific supervisor Prof03sor 10 V.
KrMelIBLdZ for assistance
given in setting up and conducting this investigation and for
discussing the results.
OrIg, art, hass 26 formulas and 8 figurese
SUB COM It/ SUBM DATE: 22peb66
C -P-f /Z
16(1-)
.AUTHORs Balakln,V,,Bo SOV/41-11-2-10/17
TITLEs Two Sided Approximation of the Solution of the Equation
.M. Oxty)
PERIODICALt Ukrainskiy matematichookiy zhurnal, 1959, Vol 11,
Nr 2,
pp 203-207 (USSR)
ABSTRACTs The author uses the method of differential
inequations of
Chaplygin f-Ref 12 for the solution of
YW- gr,y) - 0
Y(X Yo, YI(x Y o
0 0 0 0 0
r
Lot the function f(X,Y) be continuous on IXO, .3in x and lot it
satisfy in y the Lipschitz condition with the constant L. Let
(n) _ f (.
Z0 '.0 VO(x)> 0. then z.~;#y on [xO,x1j. For a(x) - so-y
we have the equation
(4) (A)- t(.,. 0) + f(xty) - VOW
with the initial conditions a(Xo 0, a,(x 0) ft 01-18, )(Xo).O.
Card 1/3;
Two-Sid d Ap~roximation of the Solution of the
307/41-11-2-10/17
Squatio: y (n . f(x,y)
Instead of (4) the author considers
AN + Lao- v W,
0 0
where L is the Lipschitz constant of f(xty). lie have
X
aOW - JP~X-Qv 0 (t)dtf
X
0
where P(x-t) is a certain combination of er onential
functions.
R7placing in (4) a(x) by the solution of M, then
&0n)_ f(%,Y+a0)+f(x'y)+Lfto_L&O_vo_V 0 (x). -f(x,y+a
0)+f(x'y)-IattWO
and, herefrom aO