SCIENTIFIC ABSTRACT VOROVICH, I.I. - VOROZHTSOV, B.I.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001861020002-1
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: March 14, 2001
• Sequence Number: 2
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

VOROVICH, I.I., dokto-. fiz.-mat. naukp prof.; USTINOV)Yu.A., ases'Astemt;
Yu.V., I'mnd. fiza-mat, naukp dot5ent,
DatermirJng contact pressure between the tire and the rim.
Tzv. vys. ucheb. zav.; mashinostr. no.10:26-YI 164
(MRA 18:1)
1. Rostovakiy-na-Dmu goaudaratvannyy univaraltet.

AKSENTYAN, O.K. (Rostov-na,-Donu)" VOROVICH, I.I. (Rostov-na-Donu)
Strensed atate of a plate of small thicknesso Priu. mat, i rnekh,
27 no.6:1057-1074 1~-D 163s (MRA *-t'7;--,)

Accwsiott KRt AP4001621 q/0040/63/027/00611057A074
AUTHOH3t Akeentyan, 0, K. (Rostov-na-Dorm)) Vor6vicho L 1. (Rostov-na-DOna)
TITLEt State of stress in a small-thickneas plate
.1963t 105?-1074'
SDuRczj priklo matematika, J makhanika. vi, 27p no* 6.
TOPIC TAGS: plate atress distributionj, stress thickness relationship., biharmonic
stress distributionj rotational stress distribution, potential stress distributionj~
~'small. thickness plate
ABSTR&CTs The autriors investigate an elasticitk'theory problem for a plate under
stresses given on the boundary, They study the behavior of the stressed state
when the thickness of the plate is decreased, The methods for constructing
,asMtotio proceeaes for this.problem. were proposed by A. L. Oolldenveyzer in a
report at the first All-Union Conference on Theoretical and Applied Mechanics in
196D, and also by several others, The method givep' by the authors in the present
work reduces the construction of the awimptotic to~ sequential solution of a series
of biharmonic problems., equivalent to a problem in applied theory of flw=e of a
plate and inVersion of an infinite matrix# This, matrix does not depend on the
Card 1/2

IOWVICH~, 1. 1. (Rostov-or^Don)
IlSome mathematical problems of the theory of plates and shells"
report presented at the 2nd All-Union Congress on Theoretical and Applied
Mechanics, Moscow, 29 Jan - 5 Feb 1964.

ALEKS,UIDROV, V.M.; BABESHKO, V.A.; UMVILH,1.1.; (Rostov-on-Don)
"Asymptotic method of solving contact problems for the layer of small
thickness"
report presented at the 2nd A3.1-Union Congress on Theoretical and Applied
14echktnics.,.Moscow,, 29 January - 5 February 1964

VOROVICH, I.I.; KHAPLANOV, M.G.
lc~-_ --
Work of Rostov mathematicians in recent years. Usp. zat. nauk IS
no.2tgll-233 Mr-Ap 163. (MIRA 16:8)
(Rostov-Mathematiod)

VOROVICH, i4
9J.
Some cases of the existence of periodic solutions. Trudy Sem.po
fu~k.anal. no.3/4:3-19 160. OURA 14:10)
(Differe*al equations) (Functional analysis)

ALEKSARDROV, V.H. (Rostov-na-Donu); VOROVICH Lit (Rostov-na-Donu)
Action of a stamp on ag elastic layer of finite thickness. Prikl.
mat. i mekh. 24 no. 2-523-333 Mr-AP 160. (MIRA 11+:5)
(Elasticity)

VOROVICII, I.I. (Rostov-na-Donu)
Some general representations of solutions to the equations of the
theory of shallow shells. Prikl. mat. i mekh. 25 nD.3:Y+3-,:Y+7
My-Je 161. (HIRA 14-7)
(Elastic plates and shells) (Differential equations, Partial)

VOROVICHO I,I.; XUDOVICH, V.I. (Rostov-na-Donu)
Stationary flow of a viscous incompressible fluid* Mat. abor. 53
no. 4:393-428 Ap 161. (MIU 14:5)
(Hydrodynamics)

32508
q boo S/044/61/ooo/oil/031/049
C111/0444
AUTHORs Vorovich. J. J.
TITLEt On some cases of the existence of periodic solutions
PERIODICAL: Referativnyy zhurnal, Matematika, no, 11, 1961, 76-77,
abstract 11B406.(Tr. Seminara po funkts. analizu. Rostovsk.,-
n/D. un-t, Voronezhsk~ un-t, 1960, vyp~ 3-A, 3-19)
TEXTt Considered be the Hilbert space 1 2 with the elements
X - X19.-) X n -) and in it the infinite system of differential
equations
9X" - grad M sin t, coo t) (1)
where 4 is a functional in 1 21 A2 being conBtant. If does not
contain the variable t, then (1) may be considered as the equation of
free oscillations of a mechanical system. If contains the time
explicitly, then (1) describes a parametric elitation of the system.
In this paper one proves the existence of periodic solutions of the
Card OL

325C6
S/044/6i/ooo/oi!/03!/O49
On some cases of the existence . . . C1II/C444
equation (1) and of the equation
*JI
X - grad (X, sin t, cos t) + F(t) (2)
2
where F(t) is a vector function with the period ?Jt', The equation (2)
may be considered to be the equation of the forced oscillations of the
system. SR >4 jxJ indicates the topological product of the closed
sphere SR C 1 2 with radius R and the square - 1 vr v, w r,~. 1, The
following condizions be satisfied: 1. ) 0 (X, v, w) is continnou3 and
continuounly differentiable on every S X 1 X 1, R > 0; 2 (X.v#w)
R 00
is even with respect to all variublet-i X. v, w: 3 ) X
z ; ~) X
where the equality sign only holds for z - 0, i'1
Then on every sphere x 2 dt 2 > 0 (1) poz-,seoses at least
S 27- 1
0 1;- 1
a denumerable set of 2jr - periodic nolutiona, to which correspon4
Card 2/4

2 08
3
S/04 61/ooo/oil/031/049
4
On some cases of the existence . . . C111 C444
C 4
F
different A 2 and the Fourier series of which only contain sinus terms,
There by exists a sequence of solutions such that lim A 2 ~ 0.
As 4 the functional n ~ co n
1 00 x2 + U (X, sin t, coo t),
2
be taken, where 0-_c 6k,