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

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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 __'