SCIENTIFIC ABSTRACT BEREZOVSKAYA, Y.K. - BEREZOVSKIY, B.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000204910003-2
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: June 8, 2000
• Sequence Number: 3
• Publication Date: December 31, 1967
• Content Type: SCIENCEAB

KAYGORODOVA, R.Ye.; BEREZOVSKAYA..,.Ye.K. (Mool-va
V-334, Voroblyevskoye
shosse, d.~,-, *. i 5 ~
Ehdothelioma of the thoracic aorta. Grudn. klAr. 5
no-4:88-90
Jl-Ag'63 (MIRA 171l)

C -z- Q~ Y S j ~ . j ; -- I
ROHJUMOV, P.G.; NOZ OVSKIY$ A.S.; Sjt1KAj, A.I.;
RASHKOVSXATA, K.B";
BUMOVSFATA. Z.A.
Separation of finely dispersed, difficultly filterablA
suspensions
In centrifuges of the sedimentation type. Kbim. prom.
no.8:480-
106 D 157. (Colloids) (Centrifuges) (MIRA 11.-Z)

e re '?:~ , ,,, ~" , :z A
AUM-IORS: Romankov, P. j., V9krr;Vs%1-.'1 5-f
Sillman, A. I., Raq_hkov.-,kriy--., B.,
Berezovska~a, ", A.
TITLE: SeParation of Fine 3,v- dispe rsed,11ard -to-,. apa
rate Suspensions ir.
Precipitating-type Centrifuges
(Razzdeleniye tonkodisporsnykh plokho
fill truyushchikhsya suspuiisi~ na t~;ontrifut,akh
osaditellnogo tipa).
PERIODICAL: Khimicheskaya Promyshlennost', 1957, Vr 8, pp.
32-38
(USSR)
ABSTRACT: Here the results are Liven of the proving of some
types of
separation centrifuges in operation with suspensions of the
azodyes, i. e. of the direct black 3 and of the acid blue
black, as well au with suspensions of the iron- and cobalt
hydroxides. Investigated were:
1) yeast separators. The experii-!ents shoNvect that these
cannot be used for a continuous separation of the suspensions
from azodyes in order to obtain a paste-like sediment.
2) Centrifuge with removal of the precipitation by means of
a knife. The experiments showed that this can be of certain
Card 1/4 interest since inspite of a somicontinuity of the
process a

Separation of Finely-diBparBed, Hard--to- separate Suspensions in
64-8-8/19
Precipitating-type Centrifuges
high mechanization degree of the same is obtained and an
automatation of the discharge of the liquid and solid
phase is possible during the operation. This centrifuge oan
be used only for a rouFh separation of the azodye suspensions.
3) The 110CIIII-separa-tor with a precipitation discharEe by
centrifugal force. The experiments showed that this separator
is apt for the production of a dyo of normal strtne,-th. The
output of the same from the suspension was satisfactory. The
disadvantage of the separator: it is not quite apt for the
working of suspensions with high mineral salt content (more
than 2*. The experiments carried out for the separation of
not salted-out suspensions showed that such oiie can be
carried out with this separator. The dyes of some types
(e. g. the direct brown KX) can be separatud more easily
from the not salted-out suspensions thail from the salted-out
ones. As a rulev the concentration of the dye from the not
salted-out suspensions is higher than from normal suspensions..
even if the humidity content of the paste is higher before
drying in the first case.
4) Separation centrifuge with a spiral discharge of the
Card 2/4 precipitation. The experiments showed that inspite of a

Seiaration of Finely-dispersedo Hard-top-separate
Suspnsions ~-4-3_8119
in Fmcipitating-type ClentrilUges
velocity up to 6700 u/min (separation factor 2900) no
discharee of the precipitation took place. Accordinu- to the
reconstruction of the sample the centrifuge worked normally
and the discharae took place continuously. The output
amounted to from 20 up to 70 liters/min. The value of ".-he
separation factor amounted iii the case of the 4 types Given
here to: 4600, 2100, 7200 and 4000, 1150. It was shown
that in the separation of fine-disperse systems, as it is
the case with the azodye suspensions the existence of
separating plates is indispensable. These plates-exist in
the
separation centrifuf.;e with spiral discharge. This ty-~e is
interestinG for the industry. The construction %was made by
A. S. Nozdrovskiy. The present paper was carried out with
the
aid of followinE persons, or works resp.: B. A. Ikonnikov
and
I. T. Shkuta of the chemical works of Derbeney; testing
industry enrichment factory Zhilevsk; ITIlprodmasli; M. V.
Sizov
from the chemical works of Derberiev.
There are 6 fi&-ures, 5 tables.
Card 3/4

separation of Finely-dispersed, Hard-to-z;eparate
Suspensions 64-6-5119
in Precipitating-type Oentrifu3es
AVAILABLE: Library of Congress
Card 4/4

ROMANKOV, P.G.; RASIIKOVSKAYA, X.B~; BERMOVSKAYA, Z.A.
New method of drying paste-like pigments.
Lakok--aB.ma'u.i ikhtriB4
no.3:71-71+ 160. (MIM 14:4)
1. Laningradskiy tekhnologiceskiy institut imeni
Lensoveta,
(Pigments--Drying)

ROMANKOV, P.G.; RASHKOVSKAYAp N.B.; EIEREZOVSKAYA,
Z.A.; YABLONSKIY, P.A.
Drying some pastelike pigments in a fluidized bed.
Lakokras.
mat. i ikh prim. no.6:61-64 161. (~aRA 15:3)
1. Leningradskiy tekhnologichaskiy institut imeni,
Leningradskogo
Soveta.
(Pigments) (Drying app&ratus)

ROMARKOV, P.G., doktor tekhn.nauk; RASHKOVSKAYA,
N.B., kand.tekhn.nauk;
YABLOIISKIY,, P.A., kand.tekhn.nauk;_~M
tekhn.nauk ~~YA,_Z.A., kand.
Drying of a pastelike copper-nickel catalyst in a
fluidized
bed. Masl.-zhir.prom. 28 no.7:10-13 Jl 162. (MIRA
15:11)
1. Leningradskiy tekhnologicheskiy Institut imeni
Lensoveta.
(Nickel catalysts-Drylng)
(Fluidization)

USSR/Hedicine - Plants Oct 48
Medicine - Sugars
"Mnpra-.:Ing Silo Prop6rty of Plante
With Un-
certain Sugar Mini-mum," A. A.
Berezovskiy,
Cand Agr Scl, M. F. Yegorova,
All-Union Sci
Boo Inst. of Fodder, pp
'"Dok v-E~ Alk Selkhoz Na7uk" No 10
AWtion of dry fodde;r to plants, whose
humidity
has been decreased without maintaining
minimum
sugar content, increases sugar content
in the
green fodder due to hydrolysis of
polyBacchar ides.
Intensi-7e sac char if ication of the
starch with
33/49T76
IMR/Med!,cine - Plants (Contd) Oct 48
&s,crease in hinaidity
activity. Method may
W=y field products w:
Good results with potitoes.
adue to increased hydrolytic
be used for processing
th low sugar content.
Submitted 30 Apr 48.
33/49T76

B)W,ZOVSKIY, A.A.
25125 - B7REZOVSKIY, A. A. Siloeovnn1ye
Trudnosilosuy-ushikheya I ffasnlosu~nashi-
khaya Rasteniy V Smesi S Gume=ymi Kormami. V SB! Voirosy
Kormodobyvaniga. Uyp.
2. M., 191:9. S. 189-91
SO: Latopis' 'No. ~3, 1949

BERI~ZOVSXIY, A;A. I ORIOV, I. F.
25147. B-,REZOVSKIY, A. A. I ORLOV, I. P. Sushica Travy Na Veshallmkh. V. SB:
Voprosy Kormoeobyv-,qniyn, Vyp. 2. M., 1949, S. 204-08-Bibliogr: 5 Nazv.
SO:Letopis' 'No. 33. 19h9
IINF

16 BEMOVSKIY9 A. A.
2. USSR (600)
7. "Procedures for Preparing Special Silos", Sov. Zootekhniya, No
6, 1951, pp 62-67.
9. Ydkro.biologi , Vol XXI, Issur 1, Moscow, Jan-Feb 1952, pp
121-132. Unclassified.

I I ~ 1. ~ BEMOVS1KTYj A. A.
2. uss 116o))
7. "Autumn Dasilage". Kormovaya Baza, No 8, 1951, pp 44-47.
9. Mikrobiologiva, Vol XXI, Issue 1, E;oscow, Jan-Feb 1952, pp
121-132. Uncla*sified.

-SEnZOVKSIY, A.A.
Means of raisint, the quRlity
of ensilage
Sov. zooteicb. 7 no. 8, 1952

TOME.'CE, J. F.; -9DION, E.I.; KONDYR.--V, V.; KABOZOIJ, S.;
Feeding and Feeding Stuffs
Feeding chaff to hor3es. ("Preparation of feed stuffs for
feeding." Prof. M. F. Tomme,
E. I. Simon; "Organize the preparation of feed stuffs on every
farm." V. Kondyrev,
S. Kabozov, A. Blerezovskiy. Reviewed b.,)- N. A. Leyzerson).
Konevodstvo 22 no. 8, 1952.
Monthly List of Russian Accessions, Library of Congress,
November 1952. UNCLASSIFIED.

"UN-OVSKIT, A.Aes kand. eel '&kokhomyspvtv9wWkh amko
-0 i6~ ar "..
-Amr- -
Pinishing up the drying of hay with cold and warm air.
Zhivotwmod-
9tvo 20 no,504;-45 W 158o (HIRL 1115)
(Hay-Harveeting) (11asilage)

BUEZOVSKIT, Aleksey Alekeendrovich
. I . I;,-;"-"
[Xnsilapl SiloBovanie kormov. Moskva, Gos.izd-vo
selii~wz.
lit-ry. 1959. 105 p i3nellage) (MLRA 13:8)

BEREZOVSKIY,-A.A,,-kand.sel'skokhozya.vstvenn.vkh nauk
------
Mixed silage for swine. Zhivotnovoda'tvo 22 no.7:17-21
160.
(MM 16:5)
1, Vaesoyuznyy nauchno-issledovatellBki institut
zhivotnovodBtva.
(Swine-Feeding and feed4' (Ensilage)

BEMOVSKIY, A.A., kand. sel'skokhoz. nauk
Some problems in the preparation of mixed silage.
Zbivotno-
vodstvo 24 no.6:39-41 Je 162. (IrM 170)

BERE koey,,Ueksai2~ph,_kand. sollkhoz. nauk;
IZONOVA,
T.S., red.; RUITIN, 1J., tekhn. red.
rbietetic" foods] "Diatichaskii" korin. Moskva,
Izd-vo
"Znanie," 1963. 29 p, (Novoe v shisni, nauke,
takhnike.
V Seriia: Sellskoe khosiai tvo, no.2) (MIRA 16:1)
(En:ilage)

HEREZOVSKIY, Aleksey Aleksandrovieb, kand.
sellkhoz. nauk;
Z.P... tekhn. red.
[Preparing and using combined ailagel
Prigotovlenia i is-
pollzovanie kombinirovannogo silosa. Moskva,
Sellkbozizdat,
1963. 77 p. (MIRA 16;11)
(Ensilage)

BEIMOVSKIY A.A...kand.sel'skokhozonauk
Sugar beet ensilage. Zhivotnovodstvo 24 no.9:39-41 S 162.
(MA 15:12)
1. Vsesoyuznyy-inotitut zhivotnovodotva.
(sugar beets) (Ensilage)

Bvf,~Z~111'~IFJT,
- - - ;.7!,- ~ ~ " V,7~ - ~. 1Y, star-shiy nalich-nyy
sotrudni.),
(:'~- ten r d -- a 1 1 -, il e,:; e rva ti o n o f g n~ e n
fc! , d c; . T n f o r in. b i u I . V D; ~'?~ I I ri u . "
-. -,'2 - 2 3
I -
(MIRA 18-5)
MY 164,
2. VsE:.,~opmnyy institut zhivotTlovodst,.m.

ACC NRt -00-7-7
AR60257103 SOURCE CODE: UR/0196166/060-/-0-04-FA 1,007
AUTHOR; Berezovskiy, A. A.; Nizhnik, L. P.
TITLE: Surface loss in a nonlinear forromagnotic somispa6e
SOURCE-. Ref. zh. Elektrotekhnika i energetika, Abs. 4A54
iREF SOURCE: Elektromashinostr. i elektrooborudovaniye. Resp.
mezhved. nauchno-tekhn.
sb. vyp. 1, 1965, 5-8
ITOPIC TAGS: electric Dtchine, electromagnetic field _dteZLA-e_.
of
ABSTRACT: Ono fundamental s ulation problems in the calculation of
additional losses
in electrical machinery and transformers is considered, viz., the
determination of
electromagnetic field and losses in a nonlinear forromagnatic
semispace. A tangentialf
component of the magnetic field strength vector H, periodically
varying with t:Lre is
specified at the surface of the semispace. An equivalent magnetic
permeability
ard a characteristic resistance i~ of the nonlinear semispace are
introduced, which
permits expressing the surf ace-loss f ormala in terms of ':F and H
. (0) at the. sur 'Lice.
Approximate formulas are offered for j; and 'F that permit
determining them froiti. an
experimental -erizes the semispace. It is sholwn hov H.. (0)
tn(H)-curve Vaich charact
can be determined if tho a-c density in air over the metal is
kna-~ni. Bibliogra"Phy i
of 2 titles.Yu. Chalisov [Translation of abstract]
SUB CODE., 09
Card 1/ 1 UDC: 538.311

POSTNIKOV, I.M., doktor tekhn.nauk, prof. (Kiyov);
NIZHNIK, L.P., kand.fiz.-
matem.nauk (Kiyev);.BEREZOVSKIY, A.A.,
kand.fiz.-matem.nauk (Kiyev);
KRAVGHENKO., A.N.J. inA. (Kiyev)
Calculation of a traveling electromagnetic field in a
lamellar
conductive medim, rektrichestvo no.9:1-7 S 165.
(MIRA !8:10)

A,
L 19412-63
AFFTC/IJP(C).
6 -0130053 S/O0"/63/0O0/006/B0-53/U064
SOTP,.C,r': rZh. 1,rittlematilca., Abs. 6B284
AUTHIOR: BerezovstkF,'-y., A. A.
TIT=,: Int.,gro-differantial equations of hollow shell statics
CIT M 301111CM: Visny.',k ~yj~ no, 1., 1958., ser, astron.,
mate.-a'. ta
mel,dian., 2, 125-137
TOPIC tjiGS: intero-differential. equation., hollarr shell
statics, shell theory.,
Fredhol;rn integral equation
I? - ST wio, to tem
jLN - ',.T: The author reduces the Droblem f she theory a sys
of'integral
~e
aasumpti~n
introdua 'es an
ecluations.
-vthich makes it possible to pass from a sys-
tem to a sin"Ic second-ordar Fr~dholm intogral equation* E.
Khasabov.
SUB CODE':' 1111
DATE ACQ. 24jul-6) EIML; 00
Card 1/1

'3MZOVSKIY, A.A. (Kiyev)
Integrodifferential equations of the theox7 of thin
shallow
shells. Ukr.mat.shur. 11 no.2:146-154 '59.(MIRA
22:11)
(Integral equations) (Elastic plates and ahells)

16(1),16(2) 1 C5 7113
AUTHORS: j,3erezovskiy,A.A., and
Sliestopal,A.F.(.y3~ev)S~?V/41--11-4-9/15
TITLE: Inte[,ro-b:l*f-fe-r*e'nt*ial Equations for the Local
Stability of Flut
Shells
PERIODICAL: Ukrainskiy matematicheskiy zhurnal, 1959.Vol
1',Nr 4,pp- 434-458
(USSR)
ABSTRACT: According to Z-Rolf 3-7 the examin&iion of
stabilit',7 of flat
thin shells leads to a certain oveTem of differential
equations.
Starting from tMs sy,,~tem,tjie authora consHer two states
of
equijibrium (aii undisturbed and a disturbed stlate) and
formulate
a theorem on the duality of the viork w.'Ith respect to the
d~stui:banaes (Compare Ref 2
_7~, The theorem -,s used .,.n ordor
to describe the local stability by a system of izitegro-
differential equations,. An approximate equation foi- the
local
stabi.-!~'ty of the beivii-og is obtairied. An oxampli4, Is
~zlven.
There are 4 &C"Tiet Tefc-.-r-Ces,
SUBMITTED: November 25, 1958
Card '/I

S/041J60/012/001/002/007
C1II/C222
AUTHORs Berezbvekiy, A.A~
TITLEs On the Motion of a Load on a Flat Shell
PERIODICALt Ukrainskiy matematicheskiy zhurnal, 1960, Vol. 12,
No. 1, PP. 79 - 87
TEXTi On a flat Shell being rectangular in plan form and
pin-jointed
along its boundary, there moves a load P the coordinates of
which are
described by continuous two times differentiable functions tV)
and Yt (t).
Under neglection of.the forceB of inertia the influence of e
load onto
the shell is interpreted as a normal load
(1.1) q(jc,y,t) 0P for x,y (t) (t)]
for x,y C (t), -I(t)j-
The problem of the forced transverse vibrations leads to the
system
Card 1/ 5

88295 S/041J60/012/001/002/007
C111/C222
On the Motion of a Load on a Flat Shell
a 1 W\72 if 1 dx dy
j k 1 1
(1-15) W - W + a b I V 2w dx dy - h 2w w dx dyl
0 k 2 1 1 1 t2 2 1
where %P, w are the tension and bending ; T,, w2 are the solutions
of the
equations
(1.8) - 11 IV4'PI D V 4w
Fh 2
for boundary conditions not contradicting those for Y, w is the
Delta
function a and b are the length and the width of the ground plan
of the
shell ; h is the mass per unit area of the middle surface ; E,.v
are
the modulus of elasticity anj the Poisson coefficient,
(I.-9) D Eh-I
Card 2/5 12(1 - '~)

5/041J60/012/001/OOE/007
C11110222
On the Motion'of'a Load on a Flat Shell
(1.10) 2 . k g2 + k 2
k I ~y2 2 x2
kI andk2 are the radii of the principal curvatures of the
middle surface.
Furthermore w n q(X,Y,t)w dx dy
2 -
The solution of (1,-15).ia sought-with the arrangement
Co
(1 .1 6)~ Aij(t) sin 4,x ein 8 1y
00
W. Z Bii (t) sin ckix sin B
1, 15 jftj
Card 3/ 5

88295
B/04 60/012/001/002/007
On the Motion of a Load on a Flat Shall 0111Y0222
where ot W k I--
k a 1 b
For the determination of the A ij(t)q Bij (t) one obtains the
system
2 2 EhB ij (t)
(1.20) Ai-j (k 1B + k2 2+ 8 2)2
i
B 4P sinoe-,5(t)sin 6 jZ( t) (k1B2 +k2 ) h d2Bjj(t)
ij(t)- A (t)- 2
abD (,Ci2 2 2 2 2 2 ij (.x 2+02 2
+ 8P D (oq + 8j) D _i J) dt
wherefrom it follows
(1.23)
B (t) = C sin to t+ D oosoijt + i
ij ii U ii Wij ~
0
4p sin cC, ~(t)sin Bj(t)sJtQi (t-
abyh i
(t - 'C')dv
Card 4/5

On the Motion of a Load on a Flat Shell C1111C222
where W ij is given by
2 2 2 2 2 2
(1.22) 2 D( ati+-8 + E k1 8j+ k2 ~< j)
ij gh 2 + a2 )2
i
Then the author investigates special casess
1). P moves with a constant velocity.. It is stated that a
resonance can
be reached by a change of the velocity components.
2)'. conett the,velocity u is constant. It is shown that the
forced
2
part of the general solution for 4) bequals the static
bending of a
shell onto which in the point u t there acts the load P and
besides
the compriming compressive force
3.6) T1 a U 2 1 h .
3). Pulsating load t P - P0 sin kt const, const.There are
SUBMITTEDs JanuarY 5P 1959 4 Soviet references.
Card 5/5
S/041J60/012/601/'002/007

88301
S/041J60/012/004/002/011
CIII/C222
AUTHORs Berezovskiy, A.A.
TITLEe Integro Differential Equations of the Nonlinear Theory
of Flat
Thin Shells
PERIODICAL% Ukrainskiy matematicheakiy zhurnal, 1960, Vol.
12, Noe 4p
pp. 373 - 380
TEXTs Let Y be the tension function, w be the bending of the
shell,
Z be the normal load ; kj, k2 be the curvatures of the middle
surface
3, h, D be the modulus of elasticity, thickn6se and rigidity
of the shells
Let 2 D2 2 ID ID
(1.2) k + -k
sc2 + 282 Vk D QL 2 -97 a a i T-8
1 4 2
Eh k
(1-3) A 2 D74
k
Card 1/5

88301
S/041/60/012/004/002/011
C111/C222
Integro Differential Equations of the Nonlinear Theory of Flat
Thin Shells
I IYI W3
(1 -4) 2, 2W )1. 2 2
C (-7 P Z + _2Z
0~-D-S 2 1/1 2
2 -d 2 %'0 2V + D2w
-J P i, IJ a-~ 7
,3
With the aid of these notations the differential equations of
the theory of
shells of V.Z. Viasoy (Ref. 1) can be written in the form
AB
Let a be the region of definition of B and C ; 1 be the
boundary of a
For arbitrary B and B at first it is proved
Card 2/ 5

S/041J60/012/004/002/011
C11110222
Integro Differential Equations of the Nonlinear Theory of Flat
Thin Shells
7~1 -112 5 (4D2 . ,* -h V -B*2)dl
(1) - AD )di B )do + 1~ L(B
where A A* and L B 2 is a differential form consisting of bl-
linear forms of the components of V , T and their derivatives
up~to
the third order. Now the solution of the system (1-5) for given
boundary
-* I
conditions is chosen as B while the solution of
(1-9) A B OL ( dL
for in general other boundary conditions is taken as B Here is
the Kronecker symbol, r*'- (-( - '5 , 8 is the Delta-vector
function
and A 0 is determined by
Card 3/ 5

88301
S/041/60/012/004/002/011
CII1/C222
Integro Differential Equations of the Nonlinear Theory of Flat
Thin Shells
1 4 0 0 2
Th- k
(1.6) A - A0 + A Ao" A 2
k
Then (1.8). changes to a system of nonlinear integro
differential equations
being equivalent to (1-5) The system reads i
dl
(P C)ds - B A B )ds + L, (B , B
(1.11) -4-2 -40 -%N2 7>2
w (B C)ds (B Al B )as + L2(B I B dl
By some examples it is shown that the solution of (1.11) leads
to the same
Card 4/ 5

88301
S/04X60/012/004/00 2/011
C111 C222
Integro Differential Equations of the Wonlinear Theory of
Plat Thin Shells
results as the solution of (1*5). The author considers t a
shall
rectangulat in plan form with k 1w const , k 2 w const I a
spherical shell
with an arbitrary load and great bendings.
There are 8 references 1 6 Soviet, 1 German and 1 AmerIcan.
SUBMITTEN February 5, 1959
Card 5/5

, Cand. Phys-Ilath. Sol. (di,-~:n) "Inter, al
BEREZOVSKIY) A. A 0
Enuations of Vae Theory of Sloplnrp Fine Filras." Kiev,
r L,
,) pp. (Combined Scientific Council of Institutes of
Irlath., Phy-
sics snd 11etallic Playsics, Acad. of Sol. U_kS5,R) 170
copies
(KL Supp, 12-61, 049).

MREZCYVSKIY, A.A. (Kiyev)
Nonlinear integral equations of shallow shells of
revolution.
Inmb.zhur. I no.4AO7~114 161. (MMA 15 t4)
(Elastic plates and shells)

22823
S/170/61/004/005/006/015
Os":)
10.0 B104/B205
AUTHOR., Berezovskiy, A.
TITLE: Non-linear int6gral equations of shallor shells of revolution
PERIODICAL: Inzhenerno-fizioheakiy zhurnal, V. 4, no. 5, 1961, 4-4-53
TEXT: The problem of berfding of a shhll'ov; shell of revolut-ion
subjected
to a perpehdio,ular stress P(r) leads to'the ablution'of the system
0,(x) +P.*f. (P. 0. o k, (p, 1) 4p 0.
1k
SW + P f. (P. 0) kt (p, x) dp 0.
wileve, P h (P. S) = f (pi k'(p)s + Qs,
P A (P. 0) -'o (P) 0f (P) P (p) p dp. Q.2)
.2
Card 1/ 5

22,923
S/1-70/61/004/005/006/015
Non-linear integial equations of... B104/B205
r b
P 1
') dw
a dp
1 12 0 -ul) as
so" 4 f~ P
EP
di W 112 G - ti'VII
P)_ 7 dp Ehd
~n the case of d`tronjt-benI~jkg. r,is the distance of any point
from the
axis of revolution; b and ..a aR the, -inner and the outer eadius
respectively,
of the shell base; z(f) describes the Oentral area; h, w,-and Nr
indicate
the thi-okneos, bending, and'radial force in the dtaphragm,
respectively.
E and p are the modulus of elasticity and Poisson's ratio of the
shell
material; k'1 (q 0 x) and k2'(? 1x) are Green functions; k, and
k2BrQ the
.kernels of (1.1). These are positive definite, symmetric,
continuous.
functions for which
Card 2/ 5

?2823

S/170/61/004/005/006/015

Non-linear integral equations of ...
3104/B205

ZINOZ&Ax)
k

,

x2 P 72
vXjp)dp

(1.4)

,
Z, (TI P) Z, (y, X)

k, (P. X)
-~-i. I

I Z2
Ti d9

w4*e Pe

Z, (XI P) C11, N P) + CA N A

Zi (Tt~ P) cl Ii (Ti P)
C;Ari,(T(P);

can be written. I d N, are Bessel functions of first
order. By
an
'

..substituting (1-4)
in
(l.1) one obtain.~ expressions for 9and s(x), which

indicate that thd
solution of (1.1) is equivalent to that of an infinite

systdm of
equati8ns with an infinite number of unknowns. The "approximate

solutions" n n

0. W
aln Z, (At X). S. WP,. Z, (71 X), (2.4)

Card 3/5

id,
22823
S/17o/61/004/005/06/o15
Non~linear integrhl equations of... B104/B205
where
Plu P, 01).71 Z1411p) dp
z1( =20, (2.5)
p) do'
p %
ali. Z~ (1~ P) Z, (yj p) dp
P
0.
2
71- S P Z21 (Tt P) dP
next the
*are ahalyzed. It is shown that (2-4) are solutions to (1-1);
author looks'for classes, for w~iob such solutions" can be found. In
avery
detailed.investigation,of'the first approximation for different
boundary
,conditions and different kifids.of stress, the author.compares the
results
obtained here vith th9se of perturbation theory and the method of
-Gale h and
Bubnov, rkin. T is procedure facilitates calculation considerably
Card 4/5

228 23
Nor -.11 lm,-~ ~! r I
1 :3 ba fi c. d c~ i e- f j
1 figure, I tut
I
I ~~' T 10 N, :1! t L. t
k r
SU3hJT'TED
Card 5/5

2516.3
10:1000
S/021/-61/000/006/10041/009
A .4 q V D247/D301
AUTHOR: ae"zoVS!kT-y_,_AoA.
TITLE: On large sags of a shallow shell
PERIODICAL: Akademiya nauk Ukrayins1koyi RSRp. Dopovidi; n6. 6p
1961t 722 - 726
TEXT: The author considers deflection of a shallow shell with iL
given rectangular projedtion freely supported and uniformly loaded
on its contour by moments, 11 1 and M 2 (Pie. 1). The problem is for-
mulated by a system of non-linear integral equations
a b b
_1w -*w
y J'wV2 ~dx~dy~ + J)' - 0 .&w I a \2
-jx-2 -j-2 - k -v-
Y, xay, dx, dy,
0 0 0 0
&W.
-2
W -pVA2a'2dxjdyj + U12
ax1jY7_1 axlayl
ay', ax?
0 0 0 0
Card 1/6

.25 3
S/021/61/000/606/604/009
On large sags of a !D247/D301
a
dy~
+ dx dy, + M, &V3 ~~Jdx, + M. ~ [ -~~ (1).
ate, -jxT 19A ax,
where w, cf' sag and stress functions of the shell; cplp W 2
-'corres-
ponding Green's functiOnB for the biharmonic equation:
4Eh sfn~ ak x sin A
ab(u2 2 sin ak x, sin P, y,
m,2 4 sin % x sin P, ysin a,% x, sin Ply,
a bD (a,26 + "I I
Substituting this in (1) and changing.the order of integratio'n,
equations are obtained.whichp upon further substitution,jead to
Card 2/6

- livl~ 3
On large -sags of a
0c) I/Ing
D247/11'35._'j~
two infinite systenu of non-linear alge".~rRic for
tM W.9P9:'4AOJk1 'M~I ""kI Taking only one ter.-. c,,L^ -%w,
iorieo
2
k cy
k1
k1 2 2 +
+
k
4 2
32a (1:1 + k2u~~)
k PC t)c 11
TI 17, ?- + v
k1 3abD(a2 + Tj (a. 2+ ~ 22 1-]_
k t
15 2.2111 2
+ k b L12)
2 2 2 2
+ pe)
Card 3/6
1 11

25163
On large sab,,-s of a
',/,-,04/009
D2-If7/ D301
A~d t:
T k].,
2 2
(X,v P. .3 u1jif (k, +
h - t -h
12 E, 16 TI. 1,12 +
2 2 ~.Jr'
ab 2 2 2 k1
b a + +
k k
2 2 2 2
(k,pt + k2 k) 16(k I) + 1.11
+ Eh' -- + D((x~c + YlIc 1 (G)
2 2 2
(
ak + L/
Thus the'relatiunehip ')-2tw, ;-.i- Vl!~:,ctiuii v.*wi ob-
L
talzed. Equ.-AicvL: are Piveik S, ell.
for c sbF.Ij,ovi
with a:square ja-~.)Jectiori. Por fraely sup.~;)rte,3 c I.J. 'r.' c
f~'L 9'- 1 e I
compressed by forces T
edges X = 0 ano y = : 1 1".
I
the formula iv:
Card 4/6

B/021/61/000/006/004/009-
On large sags of a ...

D247/D301
512 Eh Eh
W3 -16
s *I 7b_
9 a2bt (a
P

ka clip,

+
W1
1
2
2 +
I)

.
a *
+ 1
)

+
2"
[Ech '2 + D (at~ + PD2

Whi a2,TWt1.

When the shell has a square projection

then.
w
k=e= 1, 1, K

a2T'
-
P

h

h3
T
applies. There are 4 figures and 5 Soviet-bloc references*

ASSOCIATION:
Instytut matematyky AN URSR (Institute of Mathemd","'

AS UkrRSR)

.
.SUBMITTED: Octo'ber 1, 1960

Card 5/6

w

A.A. I'Berezovs1kyi, A.A.j
I
Nonlinear integral equations in otoad~-state lnimd-, wy
value proble,-,3
of hetit radiation. Doi). AN UISR lio.3:295-290, 163.
17-.:L0)
1. Institut materiatiki AN 111crSS11. Fredstavlono
alcade-dikom M11 U,c--SSR
Yu.A. "iLropol'sIdi [1-'ytrOp011S'-'-Y-I, 1U.0. 1.

S /P,7 q /c:
renisi, L'vov, 15-21 senlyrnrya 1-1
~X) + IDS I U 0 x
+

El
A zi t5 ulL -L!i
7.

S/021/63/000/003,/001
a a

BEEREZOVSKIY A A., (Kiyev)
I-- -
Approximate solution of nonliner boundary value
problems
Inzh. zhur. 3 no.3:568-572 163. (MIL 16:10)
(Integral equations)

A.A. (Kyev'~
lIc-n-',rjear boundar.T
Zlhur. vych. mat. i
v,%Jhlp !%
I
mat. ftz. 4 "1-.4.
(M'!*I',j', 18:2)

A.A. [Berezova 'k-Yi. A. SHULEZ11KO., L.F.
BEREZOVSKIY,
Parametric resonance of a plate under conditions of
nonlinearity.
Dop. AN URSR no.8:989-993 163. (MIRA 16:10)
1. Institut matematiki AN UkrSSR- Predstavleno
akaddemikoln
AN UkrSSR Yu.A. Mitropollskim [Mytropol's1kil, IU.0.1-
(Electrodynamics)
(Integrodifferential equations)

BFME .4
RPM - -44,--~
Nonlinear boundary problems for a heat-radiating
cylinder.
Inzh.-fiz.zhur. 6 no.10:121-128 0 163. (MIRA 16:11)
1. Institut matematiki AN UkrSSr. Kiyev.

BEREZOVSKIY, Arnolld Anatollyevicb; KIMCHITKO,
Adollf Nikitovich
(Nonlinear boundary problems of an
electromagnetic field]
0 nelineinykh kraevykh zadachakh
elektromagnitnogo polia.
Kiev, Izd-vo AN USSR, 1963. 73 p. (MIRA 17;9)

.BEREZOVSKIY ASA# inzh-, FCKIN, V.G., inzh.
Npw fantory 4 dor, m;;qb. A __'