SCIENTIFIC ABSTRACT ALEKSANDROV, A.D. - ALEKSANDROV, A. I.

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86175 Investigations on the Maximum Principle. VS/140/60/()00/005/002/021 C111/C222 Here the spherical image was-defined with the aid of suppo:rting planeag the differentiability of U(X) was not assumed and does not follow from (A)- Now the U(X) are submitted to the stronger conditioni (D) (A) is satisfied by u(X) and every function obtained from it by a two times continuously differentiable transformation the fundamental de- terminant of which is / 0, if the new variables are interpreted again ag rectangular coordinates. In the whole paper it is assumed that u(X) satisfies this --.ondition (D). The paper contains some generalizations of the results of (Ref. 1,2,3) to functions satisfying (D) as well as sufficient conditions that u satisfies (D). The point 0 is called ordinary with respect to the region G, the operator L and the class ful of functions u(X) if for every ue ~uj in an arbitrarily small neighborhood of 0 there exists a set with a posi ive measure on which L(u)> 0. Let f- be the boundary of the region G. Let u(X) touch the zero in the point 0 quicker than r'+q if in G there exists a sequence Xm7_>0 U(X M) n so that - 1+q *O.Let Lu -Z aikUik+Zbi ui+ cu , a = Z ail r(XmF) 1-2 Card 2/5 861.75 Investigations on the Maximum Principle, V S/140/60/oOO/005/002/021 C111/C222 2 ~n2 x b r Xi Theorem 1: Let G and the function u(X) defined in it satisfy the following conditionst (1). G lies in x 1>0 and its boundary has the "side" V - an (n-l)-dimensional (open) region - on x I = 0 ; (2). u(X)>O, and for every X0 G r-- V it holds lim u(X)>O (3). u(X) approximates the zero X->X0 1+q solution in OEV quicker than x q > (0 is the coordinate origin). In 1 ,0 G let an operator L be given, where i There exists an E > 0 and a non.-in- creasing function h(r) with a finite integral so that almost everywhere in G I (A 6 a -4a (B (1-- -E )CI + 11(rd a+ b ffb* (C + (1 + r )re >,.O. Then in G there exist a set with a positive measure on which L(U)> 0. Theorem 2 1 In the neighborhood of 0, let F be a smooth surface with first Card 3/5 86175 Investigations on the Maximum Principle. VS/140/60/000/005/002/021 C111/C222 derivatives satisfying the Lipschitz condition. Then 0 is ordinary with respect to functions which in 0 approximate the zerc solutilon quicker than r1+q (q> ..eO), and with respect to every operator L which, in the nGighbor- hood of 0, satisfies the conditions of theorem 1 (it is asaumed that 0 is the coordinate origin, and that the x 1" axis, on the norinal of [- is oriented to the interior of G) Theorem 3 is a generalization ;f theorem 2. Theorem 0 Let the operator L be given in G; let its coeff:icients be bounded in every D CG, and Z a 2 a = const > 0. Let an u(x)> ik ~gi~k>a Z 9 i ? "0 be given in G so that almost everywhere L(u)-4 0. If anywhere in G it holds u = 0 , or if u(X) approximates the zero solution in an ordinary point of the boundary then it holds u 70 in G. Theorem 5 is the transmission to the present case of the theorem an the extension of the zeros along the curves of ellipticity of (Ref. I). Theorem 6t If the function v(X) ;;-v(x 19 ... 'xn ) has second generalized derivatives summable in n-th power then it satisfies the c3ndition (D). Card 4/5 86175 Investigations on the Maximum Principle. V S/14 60/000/005/002/021 0 11 1YC22'2 Theorem 7 : A function v with generalized second derivatives summable in n-th power has, almost everywhere, the first and second general differ- ential dv, d2v, where the coefficients of d2 v, almost everywhere, are identical with the generalized second derivatives. Theorem 8 s Every two times differentiable function satisfies the condition (D) - Theorem 8 is contained in the more general theorem 9 which is formulated without any proof. There are 7 references: 6 Soviet and I American. [Abstra:cter's notes (Ref. 1) concerns A.D. Aleksandrov, Izvestiya vysshikh uchebnykh zavedeniy. Matematika, 1958, No. 5 ; (Ref. 2) concerns A.D. Aleksandrov' Izvestiya vysshikh uchebnykh zavedeniy.Matematikag 1959, No- 3 ; (Ref. 3) concerns A.D. Aleksandrov, Izvestiya vyashikh uchobnykh zavedeniy. Matematika, 1959, No- 5 ; (Ref. 4) concerns A.D. Aleksandrov, Izvestiya vysshikh uchebnykh zavedeniy. Matematika, 1959, No. 61 ASSOCIATIONs Leningradskiy gosudarstvennyy universitet (Leningrad. State University) SUBMITTED -___R_a_r_c_H_4, 1960 Card 5/5 ALEWAMROVp A.D.; FOGORELOV9 A.V. Nikolai Vladimirovich Kf1mav; 15 no.61173-180 N-D 160. on his 5Dth birthday, Unp, mat. nauk OaRk :L4t2) (Efimovp Nikolai Vladimirovic-ho 1910-) ALMAHMV, A. D. Uniqueness tbeorems for surfaces in thO largO. PLLrt 7. Vest- LGU 15 no.7:5-13 1601 (MLIK 13:4) (surfaces) --:-AjJX-U-P~ROV -A.- 4t--~ Some evaluations pertaining to the Arichlet problem. Deki. AN SSSA 134 no.5:1001-1004 o ,6o. (MIRA 13:10) 1. Chlen-korrespondent AN SSSR. (Potential, Theory of) (Boundary value problems) ILSKSANDROY, A.D. ----------------------------- Studying the maximum principle. Part 4. Izv. vys. acheb. zav.; mat. no. 3t3-15 160. (MIU 13W) 1. Lemingradakiy, gosudaratvennyy universitet imeni A.A. Zhdanova. (Functional analysis) W18 3/020/60/134/005/001/023 It .3~0* C111/0333 AUTHORs Aleksandrov, A.D.9 Corresponding Member of the Academy of nce USSY-- e a o TITLEs Some Estimations Concerning the Diriahlet Problemj~ PERIODICAL: Doklady Akademii nauk SSSR, 19609 Vol. 134P No- 59 PP- 1001- 1004 TEXTt In the bounded domain G of the variables x 1'-9XTL the author con- siders the quasilinear equation (1) 'ikik where Il,aid possesses no negative eigen values. Let X be a point of G. It is assumed that--the comsideTed solutions u(x) are continuous and (I) either possess generalized second derivatives summable in the n-th power or (II) are twice di-fferentiable. With the aid of a geometric consider&-tion the author obtains conditlans-that-u(X) attains a strict upper or lower bound on the boundary of G (Theorem 1). From this it follows theorem 21 The Dirichlet problem for (1) possesses at most one solution which satis- fies (I), if 1.) &- Detjja ik))'~" const-,;,O , 2.) the aik do not depend on u Card 1/2 84818 S/020/60/134/005/001/023 Some Estimations Concerning the Dirichlet Problem and ? does not decrease in u, 3.) in every DC G for bOUrLded u,u j it holdes + Auj 9X j9x u2] 1/2 M ~ I&ik(uj j)-&ik(u j j 'A u2 j 1/2 f(uj+ 4uj 9u, xi ip(uj 9u 9, XN ( x . 5 where M-const and N(x j) is summable-im-the n-th power. Theore-m-3 contains a statement on the boundednesa of i8f u(X)-inf u(x) and sap u(X)-sup u(X) for certain u(X). Four turther theorems refer rto the special case of the linear equation (4) L(u) 1i 2: a,oie Zb, iu,, cu - f'. The author mentions S.L.Soboley and Yu.G.Reshatnik., There are 3 references's 2--S6-viet and-f American.--- SUBMITTED: July 18, 1960 Card 2/2 ALLMANMOV, A.D., prof. Professor A.H. Npgrull. Izv. TSKhA no.2:213-214.161. (MIRA 14:8) (Nograll, Aleksandr Mikhailovich, 1900-) ALEKSANDROV, Aq ID. 1-- A condition for the congruence of closed convex surfaces. Vest.LGU 16 no*7.-5-7 16le (KM 14:5) (Surfaces) ALEKSANDROV, A~D.-- VLAMMIROVA., S.M. Deformation of a polihedron with fixed faces. Vast. WU 17 no.13t138-141 162. (Siarfaces, Deformation of) (MIRA 15;7) ALEKSANDROV Aleksandr-DaRijovich ZALGALLER, VVIctor Abramovich; j_ I.G.,, akademik, otv,red.; NIKOLISKIY,, S.M., prof., zamestitOll-otv.red.; BARKOVSXIY, I.V., red.izd-va; ZEIMELI, M.Ye,P tekhn.,W. (Two-di6nsional manifolds of bonded cuiLi(v~ure; fundamentals of the internal geometry--of surfaces] '-DvyA'rnye mnogoobraziia ogranichennoi krivizny; oenovy vnutezrnnei geometrii poverkhnostei~ Moskva, Izd-vo Akad. nauk SSSR, 1962. 262'13. (Akademiia nauk SSSR. Hatematicheskii institut. Trudy, vol. 63). (MIRA 16:2) (Surfaces) (Curves) ALEKSANDROVp A.D... otv, red. (Leningrad);-MIUL N, S.G., glav. red.; N.V., red.izd-va; #INOGRADOV4 N.Y., tekhn. red. [Papera delivered at-& '. All-Unio'n* 'Mathematical Conferencel Trudy chotvertogo Vaesoyuznogo matematiche- skogo sffezda. Leningrad. Vol.l.[Planary reports) Plenar- nys doklady. 1963. 274 P. (MIRA 16:9) . -.1 1. Voesoyuznyy matematicheakiy s"yezd. 4th Leningrad., 1961. (Mathematics-con~esaesi QY -A A Conditi6ns of *,quansss iW-*stinations of the solution to the 6L' (MMA 16s9) Dirichlat pro~.~em. Vist. ib 71 '18 no.13s5-29 163. (Boundary'valus probUve~~" (Differential eque,tions) ALEKSANDROV A A.,0tv. red.; TRAVIN, N.V., red.izd-va; MAHEDOVA, L.M.,v tekbn. red. [Transactions of the All-Union Mathematical Conference] Trady Vsesoiuznogo matematicheskogo sflezda. Leningrad., Izd-vo "Nauka," Yol.2. (Sectional reports] SektIsionnye doklady. 1964, 704 P. (MIRA 17:2) 1. Vsesoyuzrqy matematicheskiy s"yezd. I+th,, Moscow, 1961. 2. Prezident Vsesoyuznogo matematicheskogo Oyezda, 4th. Moscow, 1961 (for Aleksandrov). ALEKSANDROV, A.D. "System of university education and methods of training university specialists in the USSR." " , I ,qaport sabdtted to the Conf a on the Application of Science and T,6611gugi for the Bawfit of the Loss Doveloped Areas. , Genevap Mtzerland 4-20 Februwy.1963 AIMS , STREAli, 89VI ROV , - ~A-A -40 V.V. An iacperimetric problem and estimating the length of a curve on a surface. Tmdy Mat. inst. 76;67-80 165. (MIRA 18:6) MIKLOS, Anatoliy G--~orgiyevduzh; IVESHKELISKIY, S.A., inzh., retsenzent; . L4bZ111, M.D., kand. tekhn. nauk, retsenzent; ALEKSANDROV, 'h,.D.t,,_nauchn. red..- SMIRNOV, Yu.l.., red. - -.. 1, 1 [Autonatic control and control and measuring apparatus of marine powgr plants] AvtomatJla i kontrollno-izmeritellnye pribory sudovykh silovykh ustanovok. Leningrad.. Sudostroenie, 1965. 138 P. (MIM ls: 8) ACC NRi AP6018522 SOURCE COM M.0043,,66 066766 0 s~0025 iwrum AlcksanL~A.2. OAG: TITLE: flnjorantq of solutions of linear gecond-order eowitions SOURCE: Leningrad. Universitet. Vestnik. Scrlya.inntenntiki, mekbani!ti I astronumli, no. 1, 1966, 5-25 TOPIC TAGS: second order equation, matbematic tran5fnrmatio-,,i ABSTRACT: :The author considers equations (1-1), aiJ,~i 0, with n variables (n ;_~' 1) in a domain G, and their solutions u subject to the conditions (1) u is bounded and continuous in G, (2) u has a continuous supporting transformation, the latter condition being fulfilled: e.g., for ,u of class I of all continuous functions with generalized second derivatives suinable with n-th power in any closed DCG; and of class II of differentiable functions with (1. 2). Lot E =Em be an, m-dimensional plane, 1 ~L- m :::- n; XF, the projection of a point x, GE - the projection of G, PE - the unit sphore in E, ' h(X, y) -- the distance from X G to the 1supporting p1me to G ' IN M -- the ar 'a of The functions with tle normal v, L h defined b troduced a d ith h h i 1) i h (2 G N . . n an w re n y E, kE, ;l OF, HE If by means of an orthogonal transformation of the variables the plane B is ' f 1) d l th d (X th fi b L t th 2) (2 . - ma e e au or e or a e e ane, nes ar ) X y p function in G, there exist such 1~ LM(GH) that almost everywhere in G - . - - - - ___ - - - f y -11 c"', 11 by (2-0- -1 (2.3) takes'place.) Then the author defines the norm iJ 1 ) 1 1 do not wdLstl, (a // ~ // -co I m=n and dot e nom reduces -to that'in 1~(G5- L 39829-66 kCC NR: AP6D18522 Theorem 1. Lot u be a solutio'n of (1.1) with u 0. Then for any m,. 1 ~-=m -~z n. for almost all planes E :: Em of any bundle, the values u(x) e. 0 :_are subject to inequalities (2-7) with Fm defined by (2-8), q)m being bounded, q, m (o) -. 0.9 6 - 0. More precisely, for m ;o 1, Fm(~ ) is the converse of the function Theorem 2. Under the conditions of Theorem 1 (2-15) takes place for almost all planes of any bundlej for Alich tile denominator in (2-15) is :;"0. The latter condition is that of tile uniqueness for Dirichlet's problem in class I or Il. Lot bF be the projection of the vector (bi ) and rF V G, the distance from )(r, to tile boundary of the convex hull of GE, in the direc- tion - bE(tV). Defile j by (4-1) Theorem 6. Under the conditions of Theorem I inequalities (4-2) take place in the same sense as in Theorem 1. Theorem 8, Inequalities (4#6) take place in the same sense as in Theorem. 2.* Theorem 10. Under the conditions of Theorem 6 for any k,-:--3M, 9 4E (011), inequalities (5-1) take place in the same sense as in Theo:oems 1, 6. The proofs are based on the genoral method given by the author in another paper ("A General Methol of Majorizing-Solutions of Differential Equations,"' Sibirskiy Matematicheskiy Zhurnalj No 29 1966). (1-1) aiju bu cu f ij I LF (X) - it W) - (X - X') yd (X)< (l12) 11M wip -X' X Card ' '2A ACC NR, AP 18 .02 (2.1) 16 h (2-2) dat(aiJ)) i~ Mo (2-3) n GO I T (-,C) (2-4) b lie W .(2-7) U Ht-'T' Of+IL: t C4. (2.8) L (2.9) rnx In (2-15) < f+ sm, Card 3/4 T 39829-66 ACC NRt AP6018522 (4-2) (4.6) (5,1) fill Tl,(Xf. ct I f-~ HEW E LO u (X)< I b fi'~ I'u 11 j6) h'c Orig. art. bas: 5 if ormulas. r~p ORIG REF: 005/ OTH REF* 002 SUB GODE: 12/ SUBM DATE: 15 JulgY :ard L 03016-67 EVM'd) 1,TP(c RC _NR, AP6_2iii(F SOURCE CODE: UR/0110/661007 AUMOR: Aleksandrov, A. D. P ORG: none f TITLE: A general method for the majorization of solutions of the Dirichlet_vroblem SOURCE: Sibirskiy matematicheskiy zhurnal, v. 7, no. 3, 1966, 486-4138 TOPIC TAGS: partial differential equation, boundary value problem, Dirichlet problem, elliptic equation ABSTRACT: rmetions which majorize solutions of the Dirichlet problem are constructed for second order differential equations of a sufficiently general form (in general, el- liptic equations). The majorant is dependent on the region and certain Integral cba- racteristics of the equation,.on the type of coefficient norms, and In awe cases, an analogous characteristics of the solution itself and the bounda17 conditions. Estimates are obtained for possible values of solutions at any given point in the region of defi- nition. The estimate theorems for a finite region G are genei%lized to apply as wel.1 to projected-finite and infinite regions* Orig. art. has; 30 fbimulas. ,SUB CODE: 12/ SUBM DATE: 3Wun65/ ORIG REN 006/ OTH REN 0014 UDC.* 517.946 L 0302-J-67 MF(d) IJ,'(,-,) ACC NR: AP6027726 AUTHOR: Aleksandrov, A. D. (Academician) ORG: none SOURCE CODE: 0/0020/66/169/004/0751/0754 TITLE: The method of projections in the study of solutions of' elli]2t!c equations SOURCE: AN SSSR. Doklady, v. 159, no. 4, 1966, 751-754 TOPIC TAGS: partial differential equation, elliptic equation, approximation method ABSTRACT: Estimates are derived for solutions of elliptic partial differential equa- tions using the method of projections. The lower projection wE of a functiou u is de- fined as a function in GR--a pro~jection of G, a bound region of Euclidean n-space-- such that uE(x')= irif u(z), z'eGg, xEHG. is some elliptic expression, then if ViJVV.>,0v we have 1p; (11JJ + ivif, [it, It, X)t_0 - F"fivil > 0, 1 and for its projection we have F(ttil, ul, u, x) Fjr(u.Fil, uEj, uExg). UDC; 517,946 Card 1/2 03023-67 ACC14:-A~602772 The upper projection of P is defined in a similar manner. Theorems are stated and proved to show how precise estimates for solutions may be made by this method, pro ing on a plane and on lines. Orig. art. has; 17 formulas. SUB CODE: 12/ SUBM DATE: l8Hay66/ ORIG REF: 003 /Card 2/2 10107-4)1' EtI(d) IJP'C) S,!. '%' D D. ,~Iajo:-ants of Solut Uons and Uniquonoss ConditionG for LcninZ,=d, Vastw-,il-c Univorsitota, No 7, SOXIya Xa,tlczat~jcap i kstro-nom--i, No 2, 1966, pp 5-20 A .1lbs'--ract: Tn an carlio.- articlo by the autho.- S%nctionu woro const-l'uctod wh-Ach =az,orizo SOT-utions to the Dirichlot prob1cm, and uniquonoas corditionz; wero ob- tai.-Icd flor '"he lincar equations a'Juj1+b'uj+ca=f, aiA,Ej>O- -own in '.-he prosont articlo that, -,',ho maprants found in the earlier J =-t"Jclo, as xIl ar, the inoqualitios ox-prasz;ing- tho uniqucnoz;s conditions, aro cxact for convox domains. This means that in domain 0 cquation (1.1) can. be Von with a salut tion uhich ant a givon point, xEG, comes arlbitr rily near tho a T~,orcz'oro, Viora is no nccd to consdIdor ',.he cquatd=s and their zolutic-j stbJact to tho monoral cond:114ons adopted in tlio oarllor articlo, 'Iciont-. Aw limit onosollo to tho following assu-.p4onss ancl it is S..If;L Card 1/2 UDC: 517-941 L 1079776-7- ACC NR% A27003513 (1) Donain G, (2) Sc~m-' ifinod in equation (1.1), is assumed to bo fAmito -'L" A on (1.10 -Ls duptic (001.j6j4 > 0 for 2 > 0) with coofficionts ard ri&4,-,- (3) Tho solvUons u Vaich are 1,~and sido continuous and arbitrarily =ooth in 0. con:~iacrc'd al-0 Oon~'inuous in G + r and UrIco continvoue4 difforontiablo in 0 ss=cd I w z.nd uay bo considorcd arbitrarily =ooth in G. it ia 'ha"u 0. (4) .0y, tho bour-dary u = 0. Tho articlo also considers the caso of an infinito domain., Oriu. art. has; 4 formx1as. Cjprs: 38,693,7 no'no ::TO-21C TAGS: Dix-ichlot problem, linear oquation SUB CGI','3: 12 --3LJB:-I DATE: l5Ju165 ORIG nF: 002 Card 2 /2 ACC- NR~__ - 0 - AP70 4563 'AiZ(SANDRDV. A.' D --s6uftcCdWL-~ _Off, T "Impossibility of Any 0onoral Evaluations of Solutions and Any Uniquenoss Condi. itions for Linear Equations with Norms Weaker than Those in Ln" .Loningrad,. Vestak Lonin6radsRogo nivorsitota No. 13, Sor. Hat. Hokh. i Antron. *(News of the Leningrad Universlt7, No. 13, Series Mathomatics, Mechanics and Astronomy), No. 3. 1966, pp 3-10 Abstract% This is a follow-up or two earlier papers (this journal, No. 7, pp 3-20 (1966); No. 13 (1966)), in which evaluations were obtained for 'solutions and uniqueness conditions of the first boundary valuo problem for linear oqua 'tions in an n-dimensional region Go In the simplest caso those evaluations and uni noss conditions involve the norms in Ln (G) with the weight a-1, a =.dot :(Mu) A theorem in given which dauonstratos that neither general ovaluationa -of the solution nor any uniqueness conditions with norms weaker than those In (G) are possible, providing that no additional conditions are Imposed on the n - . - ._~5 N' n6la~ . -'fbRS: - '_18, 69g ,?quations., Orig. art. hast r ORG: none TOPIC TAGS: linear oquationo boundary value problem SUB CODE t 12 SUB11 DATE, il 13ju163 oRIG Rr.,rt oo3 om :aws ou UDCS- 517-944. ALEKSANDROVI A.D.; MVEDEV) Ye.K.; BAKHTOVAy K.K.; IEVCHUK, K.V., red. Izarva; G.M., tekhn.red, [Collection of commercial treaties and commercial and Payment agree- ments as well as long-term agreements of the U.S.S.R. with foreign states as of JanurM 1, 19611 Sbornik torgovykh dogavorovp torgo- vykh i platezbrqkh soglashenii i dolgoarochnykh to:rgovykh soglashenii SSSR s inostranrqmi gosudarstvami na 1 ianvaria 1961 goda. Moskva, Vneshtorgizdat, 1961. 623 P. (MIRA 34; 11) 1. Russia (1923- USS.S.R.) Ministerstvo vneabney torgovli. Dogovorno- pravo.voye upravleniye. (Commercial treaties) AL-ISANDROv, .4. F. Aleksandrovf A. F. - "On the ~eilcw jaundice epidemic clirdc," Sbornixk trudov (Voyen.-med. akad. im. Kirova), Vol. XLIII, 1949, p. 25732 SO: U-4355, 14 August 53, (Letopis 'Zhurnal Inykh Statey, No. 15, 1949.) -FXCERPTWI;~P;Cj~~p 7-Vol 11[6--Pedia-tric- -- J rg 3 une 147 1. SUPRACONDN'l-Ait FRACTURES OF -1-11E 11UNILHUS IN CHILDREN (Hussian text) -A I ex and rov A F. - OHTOP.TI(AVNI. I P1101-Ez. jp58. 19/3 (9-14) Tabtes-T- A series or G07 cases is analysed. Neurovascular symplonis were pre;ient in 23 cases. Pulsations of the radial artery could not he felt in 4 children arid in 19 4ither children there were signs of paralysis. There was no dislocation in358cases, great dislocations were observed in 249 cases. 210 being of the extension type and 39 of the flexion type. Th~.- author recommends to begin exercises afte:.- -( days of immobilization. Open reduction should be resorted to onIv in exceptional cases. A follow-up of 229 cases showed good results in 67.5%, satisfactory in 29.5% and poor results in 3%. The results were worst where the rotatory dislocation had not been overcome. Conforty - SoCia (IX. 7' 19) ILICESADROV, A.F. fractures of the lower end of the Inmerus in children. 11hirurgiia 34 no.800-87 Ag 158 (MIRA 11:9) 1, 12 klinicheakoy bollnitsy imeni Filatova i klh.Aki. detskoy khtrurgii II Moskovskogo meditsine'k-ogo instituts. imeni N.I. Pirogova, (nauchnyy rukovoditell - prof* 3,Do Ternovskiy), (MDftUS, fraot. Intra-articular, of lower end in child (Rua)) ALEKSSANDROVJ, A.F., prof.' (Leningrad) YAthodology for determining the permeability of skin capillaries. Sov. med. 27 no.lt82-85 Ja 164. (MIRA 17z12) buB ITTED6. - Card 2/2 /F PA /P b4t) A a nd -v a s ma 2. Imopedarce of a plane capacitor conplete",; ,-r pirt ia I I v fil led with SOURM: Zhurnal tekhnichesj~oy fiziki, v.35, no.2, 11~t>5, 22o-234 T AOPIC TAGS: plasma diagnostics, plasma oscillation, plasma ion oscillation, capaci- tor, capacitance, inductance, resistance ABSTRACT: The impedance ot an infinite plane capacitor eontaininj,, between its plates a plasma of singly-charged ions and electrons is discussed The calculations are based on the linearized magnetohydrodynamic ?quatinng of no- f~,r t.-le electror.-s and iDns i6,tr~ -harP76-d &-~d noutral par- the equations of motion, the impedance of the capacitor is calcuiaTeu. ing expression is simplified by expansion with retention of only the first orler terms in the ratio ol the ion to the eir-tron tem,,wrature. and tle impedance and plasma motion are discussed in detail for the three freqt"ncy rarges InLO whi,::i Cardl/2 4 L [~' ii - ~ h A P V C-- ~ 1~i , F, ALEKSAYDROVI A,F. Servicing equipment in one place bas raised labor productivity. Vest. sviazi 17 n0110140-41 0 157 (MIRI 10:11) 1. Ministr svyazi Latviyskoy SSR. (Latvia-Telecommunication) ALEKSANDROV3,__AeF*., Practices of the leading workers should be observed by all-collectives of communication workers. Vest. sviazi 21 no.12:18-19 U '61. (MIRA 14.-12) 1. Knistr svyazi Latviyskoy SSR. (Telecommunication--Employees) 5222 57/6VW6'/Q0 AI,RK AMROVX A*Fe The administration-of collective and.state farms should be provided with outs.tanding zmans of telecommmication. Vast. sviazi 23 no.q. 2-3 F 16~~ (KMA 16 -.2) 1. Ministr svyazi Latvi7skoy SSR. (Telecommunication) ALEKSANDROVY A.F. Impedance of a plane capacitor wholly or partly ""It~, a pJanma. Part 1. 7h%ir. telkh, 3-51 no-105-42 Tj If')5. (;-,LRA 18:3, 1. Moskovskiy ordena Lenina gosvdarstvennyy universitet irleni Lomonosova. ALEKSANDROV, A.F. Impedance of a plane capacitor filled or partly filled with plasma. Part 2. Zhur. tekh. fiz. 35 no.2:226-234 F 165. (in RA 18:4) 1. Moskovskiy gosudarstvennyy universitet imeni Lomonosova, fizicheskiy fakul'tet. L 395946 E14T(l)/ETC/MqG( )/EPA-('W)-2,- I'ACCZSSION NRI AP5016690- UR/0294/65/003/063/0'354/0359' 533.932.115 AUTHOR., Aleksandrov,-A-. F-. .Yatsenko, M. ITITLE, Q-meter investigation of complex conductivity of neon 2~as%a 'YA ;SOURCE: Teaplofizika vysokikh temperatur, v..,3, no. 3, 196S, '154-359 ~TOPM TAGS: plasma conductivity dielearic constant, dielectvic capacitor 'ABSTRACT-. A Q-meter study ofthe complex diellectric constant-of a plasma (serving- as a dielectric, of a capacitor) is, used to ditermine complex conductivity. The frequency'range covered (065 to 25 Mc) by the probe corresponds to low frequencies i~ (less than ion plasma ftequency) and medium-range frequencies (those between ion and electron plasma frequencies). The investigated plasma is characterized by ielectron temperature much higherthan ioji.tevq~erature. The measurements were made Ion neon plasmas produced,~by 5 to,100 mA current discharges in j;ases at several ipressurea. The Q-meter methodo employing a parallel capacitor of known value *is described in detail. The measurements indicate that the real part.of the impedan is essentially pressure-independent and is determined by discharge current and ~Card 1/2 i 7 1. Ail-, A .- 3.; FALA T.L;YEV, 0I.D.; T'^Z~I Pl-lb, 3.1.'. 2. USISIR (600) 4. Sand, Foundry 7. golding sand for radiator production., Lit.prolz., Eo. 10, 1~~52. 9. Monthly List of Russian Accessions, Library of Congress, February -1953. Unclassified. /VD /W OSTRYAXOV, Petr Alekseyevich [deceased]; Wvetstvenq7 19W. k-+-I."tekhnichsskiy redaktor; GALOYAN, N.A., redaktor, redaktor [Thermal calculations for electron tubes with grids] Teplovye raschaty elektronnykh lamp a satkami. Moskva, Gos.lzd-vo lit-ry po voprosam eviazi i radio. 1957. 107 P. (MIRA 10:7) (Zlectron tubes) (Thermionic emission) ALSKSA!912"G., dots; AROHOVICH, I.S., inzh.; BABIKOV, M.A., doktor tekhn.nauk; BATUSOV. S.V., kand.tekhn.nauk: BELIKIND. L.D., doktor tokhn.nauk; VSHIKOV, V.A., daktor tekhn.neuk; YESELOVSKIY, O.N., kand.tekhn.nauk; GOLOVAN. A.T.. doktor tekhn.nauk; GOLUBTSOVA, V.A., doktor tekhn.nauk; GUY142, L.K., inzb.; GRIMINSKIY. P.G., prof.; GUSEV. S.A., inzh.; DMOKHOVSKAYA. L.F., kand.tekhn.nauk,- DROZDOV. N.G., doktor tekhn.nauk; IVANOV. A.P., doktor tekhn.nauk [deceased]; KAGAHOV, I.L., doktor tekbn.Dauk; K301M, L.L., inzh.; KOGHNNOVA. A.I., kand.tekhn.nauk.; TAR ONOV, A.N.; MINOV.-D.K., doktor tekhn.nauk; NETUSHIL. A-V-. doktor tekhn.nauk: HIKULIN, N.V., kand.tekhn.nauk: NIL]41~NR,. R.A.. prof.; PANTYUSHIN. V.S., prof.; PASYNKOV, V.V.. doktor tekhn.nauk-, PZTROV. G.H., doktor tekhn.nauk; POLIVAPOV, K.M., doktor tekhn.nauk; PRIVEMUSEV, V.A., dol-,tor tekhn.nauk; RADUNSKIT, L.D., inzh.; R~NlNw V.T.. doktor tekhn.nauk; BVENCHAVSKIT, A.D., doktor tekhn.nauk; SOIA)VOUV, I.I., doktor takhn.rauk; STUPILI F.A. kand.tokhn.nauk; TALITSKIY, A-V., prof.; UMNIKOV, Me., kencl.tekhn. nauk: FEDOROV. L.I., inzh.; FEDOSBYEV, A.M.. doktor tekhn.nauk; KHOLYAVSKIY, G.B., inzh.; OBECHET, Yu.S., doktor tekhn.nauk; SHH9Y- BERG. Ya.A., Icand.tekhn.nauk; SHUMILOVSKIY, cioktor tekhn.nauk; AYTIK, 1-.B., red.; MI;DVAMV,, L.Ya., tekhn.red. [The history of power engineering in the U.S.S.R. In three volumes] Istoriia energaticheokoi tekhniki. SSSR v trekh tomakh. Moskva, Goo. eilerg. izd-vo. (Continued on next card) ALICKSA14DROV, A.G.--(continued) Card 2. I a Vol.2. Dglectric engineering] -Mlektrotekhniks. Avtorskii kollektiv toma: Aleksandrov i dr. 1957. 727 P. (MIRA 11:2) 1. Moscow. Moskovskiy energeticbeskiy Inatitut. 2. Chlen-korrespon- dent AN SSSR (for la~ionov) (Raectric engineering) 2,2968 S/128/60/000/011/005/007 5-PiD N 9 (0 f I I Vo A033/A133 AUTHORS: Lomakin, A. V., Mirskiy, F. L., Misochko, N. D., Aleksandrov, A. G. TITLE: Molding large-size steel castings PERIODICAL: Liteynoye proizvodstvo, no. 11, 1960, 29 - 31 TEXT: The authors, enumerating the deficiencies of fabricating big molds in flasks or in the ground, report on the casting of a 25-ton bed of a horizontal forging machine with overall dimencions of 3,785 x 2,375 x 1,7215 mm, 40 - 400 mm -walls, at the Novo-Kramatorskiy zavod (Novo-Kramatorsk Plant). The casting was intended for the-Azovskiy zavod kuznechno-pressovogo oborudwanlya (Azov Plant of Forging and Pressing Equipment.), and was manufactured In an'assembled molding jack- et, consisting of four vertical cast iron walls with bracing ribs and a bottom p2Eb?. The cores were broken down into 23 standardized sizes. The braking gate system was calculated for the pouring of the mold from one 40-ton oapacity ladle through two plugs 60 mm in diamete'r. Feeders 50 mm in diameter were placed in three rows over the casting height, four in each row. The cross section r.;tio between risers, gate system and feeders was 1: 1.2 : 1.4. The numerous tests being carried out at the plant to find the optimum molding and coating mixture resulted in a recipe cit- Card 1/4 22968 S/128/60/000/011/005/007 Molding large-size steel castings A033/Al-33 ed in table 1. The authors then give a detailed de_scr~.ptlon of the making of cope and drag and present in a table a comparison of the c~onsumpticn of molding and core materials for the same Part. Thiz table. provess ,hat the extent of molding work during molding in jackets is nearly only half of that for molding in the grazd Based on the experience gained with. the jaciet. molding of this-niachine bed a tech- nology has been developed at the 11ant for the manufacture cf t-he bed mold of anoffi- er forging machine 35 tons in weight and other large-size castings. The main ad- -4ngs over the ordinary molding in vantage of the jacket molding of large-size cast. the ground is, above all, the high degree of accuracy of dimensions which made it possible to do away completely in eleven spots with mechanical treatment, while In nine spots of the casting an allowance of 10 - 15 mm for mechanical treatment was left instead of 30 - 40 mm acccrding to the ordinar-,.! technology. As a result, the mechanical working costs could be out down by 27% and the casting weight was re- duced by 1,500 kg. Table 3 shows comparative data on the floor area required, dul- ation of the casting cycle and the casting output from I m2. The authors point ' that with this molding method the plant saves on each machine bed of 3~- tons ut o weight 40.2 ttiousand rubles, which is 603,000 rubles annually. There are 2 figures and 3 tables. Card 2/4 22968 S/128/60/000/011,/005/007 Molding large-size steel castings A033/A133 Table 1: constituents volumetric content of the mixture in coating mixture filling mixture Millerovo 1KO25A sand 8o.6 81-3 marshallite i9.4 - iron ore 1.5 - saw dust - 10.0 graphite - 1.7 water glass 7.0 6.o caustic soda, 10% solution 0.5 1.0 Card 3A Molding large-size steel castings Table 2: 229613 S/128/'60/000/011/005/007 A033/P.133 molding method mixture consumption in IW3 molding mixture molding by pattern in the ground 32 jacket molding in cores - Table 3: core mixture 12 23 VK molding method required floor duration of cyc- casting out- area in m2 le, in hours put, ton/m2 by pattern in the ground 41.8 336 0.9 jacket molding in cores 19.0 108 8.2 1 Card 4/4 TrAGUNOV9 G.A., prof.; AZATIYAN, A.D.; AL%SANDWV".Gj- ANM9 I.V.; VASILIYEVp N.N.; ZHIGAWf A.A.; KORSHUNOVj S.I.; LEMEVp I.V.; VIIENDER9 R.A. (nectranic vacuin devices;-operatlbg oonditioiial parameters, and chat-acteristion] Xlektrovakuunnye pribory; rezhimy, parametry i kharaktoriotiki. Moskva, 1960. 20 P. (Sborniki Tekmenduemykh terminov AN SSSRj Kom.tekhn*'texminoloGiij no-54) WIDIA 1434) 1. Akademiya nauk SWR. Komitet tekhnioheakoy terminolog'ii. (Bleotron tubes) BRAUN, Mikhail Petrovich; VINOKUR , Bertolld Beritsionovich; CHERNOVOL, Arkadiy Vasillyevich; CHEP14YY, Viktor Gavrilovich; ALEKSANDROV,,.~kp~tol:~y Grigorlyevich; KOSTYRKO, Olej Uii~anoiv-ich; PIEKSANDROVA, Natillya Pavlovna; IYASHENKO, Lyudmila Aleksandrovna; MATYUSHENKO, Nelli Ivanovna; FIRSEN, N.V., kand. tekbn. nauk, otv. red.; POKROVSK.AYA, Z.S., red.; DAKHNO, Yu.B., tekhn. red. (Structural and heat-resistant alloys] Konstruktsiorzwe i zharoprochnye splavy. Kiev, 12d-vo AN USSR, 1963. 149 p. (MIRA 17:3) 1. Akadeiniya nauk URSR, Kiev. Instytut, I-yvarnoho vyrob- nytstva. ACCESSION NR: AT4022203 S/0000/63/000/000/0046/0061 AUTHOR- AjgksanckRvtA. G.; Braun, M.P. TITLE: Structure and properties of cast austenitto steel of complex composition SOURCE: AN UkrRSR. Insty*tut ly*varnogo vy*robny*tstva. Konstruktalonny*ye I zharoprochny*ye splavy* (Structural and heat-resistant alloys). 10,ev, Izd-vo AN UkrSSR, 1963, 46-51 -.TOPIC TAGS: cast steel, austenitic steel, cast austenitic steel, Complex cast austenitic steel,steel, nickel-free steel ABSTRACT: High temperature, nickel-free alloys are widely used In industry, and raany investigations have been reported on their composition and pz-operties. Mostl yl howevei , these alloys are either in the ferrite or austenite-ferrite class. In the present investigation, the authors attempt to check the possibility of melting several high temperature, nickel-firee alloys in ovens with acid linings in order to obtain high viscos- ity and plasticity and thus provide a cheap way for the additional Inixoduction of alloys The high temperature, nickel-free alloys previously used bad a Rm, Impact viscosity in the cast condition wheninelted in electric ovens with acid lininpi. High temperature alloys with a manganeso'co4ent of 11-13% and a chromium content of 8-10% may be ccrd 1/4 ACCESSION NR: AT4022203 melted in ovens with acid linings without Impairing their properties. As shown in Figs. 1 and 2 of the Enclosure, the alloy Fe-Cr-Mn-SI-Al ensures high resistance to oxidation up to 1, 000C even with a low content of Si or Al. When this heat resistant Pe-Cr-Mn-Si-Al alloy is melted in an electric oven with an acid lining, it has a sixf- ficiently high viscosity In the liVd state so that It may be used for casting containers for annealing wrought Iron and oven parts. "All tests and investigations were performed by Engineers D. Kh. Mezuzhakova, 1. M. Gollverk, M. N. Berkun, A. 1. Sapelkina and L. M. Kurbenko. il (brig. art. has: 2 figures and 2 tables. ASSOCIATION: Insty*tut ly~*varnogo vy*robny*tatva AX UkrSSR (rhotitute of Foundry Technology,.AN UkrSSR) SUMUTTED: 00, DATE ACQ: 19MarG4 ENC14 02 SUB CODE: MI4MA NO REF SOV: 014 OTHM: 000 2/4 Card ACCESS161, NR: AT40=03 PKMASMI 01 ~j. -40 Fig. 1 - Change in impact vfseosity of -Po-Cr-Mu-Si-Al alloy in relation'to aluminum content (with constant chromium, manganese and Billcon oontwit). accEssiox NR: AT4022203 MIM4=t 02 A6, .10 zo. - Fig. 2 - Change In impact viscosity of re-Cr-Mn-St-Al -alloy in reladon to 11JU00a contont (with constant chromium, manganese and aluminum content) 4/4 Card. BRAUN, Mkhail Petrovich; VINOKUR, Bertolld Bentsionovich; CIMMOVOL, Arkadiy Vasillyevich; CHMTY, Viktor Gavrilovich; AMVI"'~ANDRGVI Anatoliy Grigorlyevich; KOSTYRKO, Oleg StepanoviA-,-M-I.Tff"f=-,-' 9-aM"7a-PELvlvma,--L-YASIIENKO, Lyudmila Aleksandrovna; MT-USM901 Nelli Ivanovna; FIKSEN,' N.V.,, kand. tekhn. nauk, otv. md.; POKROVSKAYA, Z.S., red. [Structural and heat-res'.istant allqjsj Konstruktsioruiye i zLaro- prochrkye splavy. Kiev, Izd-vo AN USSR, 1963. 349 p. I'MIRA 17:3) 1. kkademiya nauk URSR, Kiev. Instytut liteynogo proizvodstva. ALEKSANDMV, A.G., kand. tekhn. nauk; BlihUN, M,P., doktE)r t.eP.1m. nauk; uchastlye: GOLIVERK, I.M.; BERKUN, M.N.; KTIRBENKO, L.M.; GALXIN, Yu.N. Cast, nickel-free, heat-resistant alloys. Lit. I)ro-,,ov. no.12: 8-10 D 165. (MITRA 18-12) t')~Ltl 6turo . ..... ....- t w. izApa 10"y h' i t i. nV, ir . ............. ~~,U, qi- -td td 2 22 0 t I --ma on o -o as CIO -taiTJ .0-~S vw - -t 015 20*~2*-)!~ angano'se- -.-A-841W 4-iilidbiiz bd 44~ 4iltd. ng-,~,a ditidr 0 6_ IcW, r; io i&i 4t_ -lob '1i6 t '_O :679,- . -. .,ra. -ohr" A-,- 1'6 20 k9i/O k 0,_al '67:w resppq, vp_y: cm, Th' 2. -2 9':~,14n OM ~has-.~pjbor- -~resi n ~at_~ak-2'. he.ut. a anoe';., 2,3372 i4a, NRt AP6014343 SMCK CODE: UR/0128/65/0()0/012/0008/0010 AUTHOR: Aleksandrov, A. G. (Candidate of technical sciences); Braung Me Pe (Doctor of techn-1aal_'i6i-6hCd-d)` ORG: none TITLE: Nickel-free cast high-temperature alloys_1 SOURCE: Liteynoye proizvodstva, no 12, 1965, pp 8-10 TOPIC TAGS: austenitic steel, ferritic steel, chromium steel, manganese steel, high temperature strength, impact strengt T ABSTRACT: Austenitic Cr-Ni steelsland alloys are used as the material for various equipment operating at high temperatures, since they display a good combination of high-temperature strength and toughness. They are. however, expensive owing to their high Ni content, and hence Hi-free alloys of thi: kind h e been developed in the last few years. But the applicability of Ni-fre alloyage limited by their low impact strength in cast state. Most of theme alloys belong in the ferritic or austenitic-forritic class and are melted in basic electric furnaces. Considering that many industrial enterprises operate acid furnaces, it was of interest to deter- mine whether theme furnaces could be used to malt Ni-fres high-temparsture alloys Card L 3605&66 ACC NR' AP6014343 additionally treated with other elements. Accordingly. the authors experimentally- investigated the possibility of achievinka highrpac . aItfength in specimene.of cast ferritic and austenitic-ferritic Cr. kr-hl- Cr-Mh-~~i and Cr-Mn-Si-Al steels melted in induction and acid furnaces taking as the criterion a minimum impact strength of 1.5 kg-m/cm2. On this basis it !1B established that ferritic high- temperature Cr steals, owing to, ng other things, the growth of their grain and increase in their brittleness in the course of their operation, are unsuitable for the fabrication of castings and so the attention should be confined to the develop- ment of austenitic steels, which display a sufficiently high Impact strength in Cast state. Accordingly, further experiments ware confined to austenitiC steels, melted in acid-lined electric furnaces and containing 0.35-50% C and up to 14.5-15% Cr and Mu, which were additionally treated and it 'Ath Si (up to 2.0%) and Al (up to 1.3%) was found that their impact strangthFlxceaded the minimum, reaching an high as 6.1 kg-m/cm2. In austenitic alloys is kind the affect of the ferrite-forming elements Cr, Si. Al is apparently suppressed by the combined effect of Mn and C. Alloys of this kind may be used in cast state for high-temperature purposes without prior heat treatmen hardening)* Orig. art. bass 4 figures, 3 tattles. k SUB ODDE: 13#"It/ SM DATZz none/ ORIG REF: 005 vmb JUMMROV, M. Pervnia voflinnaii turbine fFirst water turbinej. Sverdlovsk, Mashg.i?.. 1952 SO: M7~t~~V- ff!A`'D'f TIUSS'iln Acce-snions, Vol. 6, No. 2, May 1953 ALEKSANDROV, ALI., kandidat takhnichaskikh vauk; KOBYAKOV, N.P.. imaster- razmatchik; POSHELOK, I.N., inzhener, retsenzent; BMGAH, V.Tu.. inzhener, redaktor. [Layout work] Razmetochnoe delo. Sverdlovsk, Gos.nA:uchno-tekhn.izd-vo mashinostroit.i sudostroit.lit-ry [Uralo-Sibirskoe otd-ni(51 1953. 259 P. (WAL 7:4) (Machinery-Construction) AMXSANDROV. A. I i -, h Apparatus of engineer Kobulashvili. Nauka i zhisn' 20 no.12:28 1) '53. (HLRA 6: W (Kobulashvili, Sh.N.) (Refrigeration and refrigerating me,chinery) BRAZ IKOV, V.I., inzhener. kandidat takhnichaskikh nauk; AIRKSABROV, A.I., Deterioration of radiant superheater tubing of high-pressure steam boilers. Vest.mash.34 no.1:46-48 Ja 154. (MIMA 7:2) (Superheaters) A13KSLIMROV---A,,,,k-i~o,kandidat tekhnichaskikh nauk. V . History of the -machinery industry the in politekh.tuat. no.42:106-115 155. (Ural Mountain region-Nachinery the Urals. industry) Trtdy Ural. (MLRL 9:8) /0Re'&.-, /YZ- ALBOAMROV. Aleksandr Ivanovich, kBnd.tekhn.nauk-, DUGINA, N.A., tekha.red. - - .-mmmowmam -W'. '; I [At the sources of hydraulic turbine construction] U ifitokov gidro- turboatroeniia. Moak-va, Goa. nauchno-tekhn.izd-vo MBSUnOBtroit. lit-ry, 1957. 97 P. (MIRA 11:3) (Hydraulic turbines) SOV/137-58-7-13986 Translation from: Referativnyy zhurnal. Metallurgiya, 1958, Nr 7, p 2 (USSR) AUTHOR: Aleksandrov, A. 1, T IT LE: Engineering Draftsmanship at the Metallurgical Plants of the Urals and Siberia, 1700-1950 (Inzhenernaya grafika metallurgi- cheskikh zavodov Urala i Sibiri 1700- 1950 gg. ) PERIODICAL: Tr. Ural' skogo politekhn. in-ta, 1957, Nr 40, pp 107-143 ABSTRACT: Examination i5 made of questions in the field of engineering draftsmanship at the metallurgical plants of the Urals and Siberia. Factual materials are adduced that provide evidence of the dev- elopment of engineering draftsmanship as an independent science founded on the accomplishments of Russians acti%;e in the graphic arts - V. Shishkov, 1. 1. Polzunov and others. An investigation of the construction of the 130 metallurgical enterprises in opera- tion in 1790 shows that they were erected on the basis of well- executed plans and drawings. 1. Drafting 2. Industrial plants--Constructior, D. P. Card 1/1 SOV /137-58-7-13985 Translation f rom- Referativnyy zhurnal, Mefallurgiya, 1958, Nr 7, p 2 (USSR) AUTHOR: Aleksandrov. TITLE: Sources of Power for the Metallurgical Works of the Urals and Siberia in 1700-1840 (Energetika metallurgicheskikh zavodov Urala i Sibiri v period 1700- 1840 gg. ) PERIODICAL: Tr. Ural' skogo politekhn. in-ta, 1957, Nr 40, pp 144-170 ABSTRACT: A brief communication on the achievements of outstanding inventors and designers of steam engines and water turbines, including I. I. Polzunov, 1. Ye. Safonov. A list of the steam engines installed at the metallurgical plants of the Urals and Siberia in 1765-1840 is provided, and an examination is made of the designs of the steam machines and hydraulic prime movers invented during that period. Bibliography: 18 references, 1. Industrial plants-Power supplies 2. Stear. po-.~er D. P. plants--Developmnt 3. ~Iachines--Development Card 1/1 -1\.; E li 1\1 -D--~ t! V-') h, -T- VALITOV, R.A.; AMV41RITWO N$W- Thermostats vith use of semiconductors. Izm.tekh.no,.1:64-63 Ja-F '57- (Thermostat) (SemiconduotIore) OILU 10:4) VALITOV, R.A.,; ALFESANDROV, A.I.; Al",LJWV, I.I. Semiconductor measuring instruments. Poluprov. prib. I ikh prim. no.2s.366-376 057. (MIRA 11:6) (Transistors) (Radio measurements) AUTHORS: TITLE: PERIODICAL: SOV-,115-58-4-36/45 Valitov, R.A.; Aleksandroy Simonov, Yu.L. Miniature Measuring Instruments Using Transistors (Malo- gabaritnyye izmeritelinyye pribory na poluprcvodnikakh) Izmeritellnaya tekhnika, 1958, Nr 4, PP 84-86 (USSR) ABSTRACT: Three pieces of measuring apparatus based on transistors and built by the authors in 1956-1957 are described. (1) A crystal heterodyne wavemeter consisting of a stepless waveband oscillator, crystal auto-oscillator, mixer and AF amplifier for the 125-250kc and '-'-4Mc bands. The set is powered by batteries and consumes 10ma at 30v, Its characteristics are similar to those of the VG-526. (2) A signal generator consisting of carrier-frequency oscilla- tor, power amplifier, crystal calibrator, audio-oscillator, carrier level and modulation factor indicator and voltage dividers. It can operate either on carrier frequency or Card 1/2 with amplitude-modulated oscillation, and is used to Miniature Measuring Instruments Using Transistors SOV-115-58-4-36/45 measure the sensitivity of receivers in a range of 100kc- 30Mc (first harmonic) and up to 150MC (with upper harmon- ics). An RF voltage of from 10/~uv-10mv can be oblained at the output. 'The apparatus is powered from a side-cir- cuit at 27�3 v with a consumption of 1 w and its charact- eristics are similar to those of the GSS-6. (3) An RC audio-oscillator with stepless wavechange covering a wave- band of 20-20,000 c and with an output of 0.15w at a load impedance of 600 ohm. It is powered from batteries and has a consumption of 0.36w. There are 3 circuit diagrams. 1. Measurement--instrumentation 2. Transistors-..-Applicationb Card 2/2 05319 SOV/106-59-8-4/1?~ AUTHORS: Aleksandrov, A.I. and Garmash, Ye.N. TITLE: Triode Oscillator Circuits PERIODICAL: Blektrosvyaz9, 1959, Nr 8, pp 31 - 37 (USSR) ABSTRACT; In the analysis of oscillators, it is usual to obtain an expression for the open-loop gain of the amplifier tage; the condition for self-oscillation is then found from the real part of the expression and the oscillation frequency from the imaginary part. This meihod is suitable for valve oscillators which have high input impedances but hms limitations for semiconductor triode oscillators having low input impedances* The article investigates these limi.- tations and the inaccuracies involved. The basic oscillator equation is first established by considering the circuit as a fouistorminal network, the output terminals of which are connected to the input terminals (Figure 1). Such a circuit is analytically described by the matrix equation: Cardl/5 05372 SOV/106-59-8-4/12 Analysis of Semiconductor Triode Oscillator Circuits U1 A11 A12 W 1 A21 A 22 i2 and, with the feedback loop closed, the basic equation reduces to: A11 + A22 - JAI - I '< 0 (7) where A A11 A22 - A12 A21 In the simplest form, the oscillator circuit can be considered as two four-terminal networks connected in cascade (Figure 2): the first is active (a semiconductor Card2/5 tr:Lode) and the second, representing the feedback 05372 sov/io6-59-8-4/12 Analysis of Semiconductor Triode Oscillator Circuits connection, is passive. (The positions of the networks can be reversed without affecting the argument.) The determinant ~A~ is equal to the product of tho determinants of the matrices of the aDparate four-terminal networks: Al a-~ a" and, considering the determinant of the passive network matrix zero, Expression (7) becomes: A11 -1, A22 - I al~ - 1 '< 0 (9) This latter expression is used to analyse both common- emitter and common-base or common-collector circuits. Card3/5 05372 sov/io6-59-8-4/12 Analysis of Semiconductor Triode Oscillator Circuits For common-emitter circuits, the exact basic oscillator equation is: Y12 A A 1 + (12) 11 22 Y21 which can be simplified to the approximate equation: A11 +i A2z - 1 4 0 (14) It is then shoim analytically that the approximate equation for an oscillator does not differ significantly from the exact equation for common-emitter circuits and, consequently, all the design formulae obtained by use of the approximate equation are admissible but, for circuits with a common-base or common-collector, the approximate Card 4/5 05372 sov/io6-59-8-4/12 Analysis of Semiconductor Triode Oscillator Circuits equation differs considerably from the exact, and cannot be used for anal3f7sls and design of such circuit*;. There are 9 figures and 6 references, of which 5 are Soviet and 1 German. SUBMI'ITED: October 2, 1958 Card 5/5 ~0/000/010/007/009/)._j A0551'A 133 AUTHOR- t Aleksandrov, A. I. TITLE: Transistorized self-oscillators with common emitter PERIODICAL- Ele%trosv,,az", no. 10, 1960, 27 - 34 TE)2: The basic equation of a transistorized self:-oscillator (cominon-emitter arrangement) is: YIP T T T T all all + a12 a2l + a21 a12 + + a22 a22 y 21 where aT T 11 a2p are the elements of the transistor a-matrix, all a22 are the elements of the a-matrix of the resultant fourpole of the feedback circuit, and Is the determinant of the transistor a-matrix. The analysis contained.in.the Y21 present article is based upon this equation. The generated frequency and.the self- excitation condition are calculated in the three followipg cases: transformer, autotransformer and capacitance coupling. The Y-parameters are used. No'limitm condition is set on the parameters as regards frequency. 1) Transformer circuit.- Card 1/6 2,6212 V;06/6Q/000/010/G07/009/XX Transistorized self-oscillators with common emitter A055/A133 The investigated circuit is shown with fourpoles in the feedbaql-, circuit. . The partial coupling of the triode is tahen into account by the introduction of coeffi cient p1, andthe transformer coupling by the introduction of coefftcient Be- sides.: _L- - R ,RI= Al C, C, + C'4 P, +C, P 2 P-?-' 2 1 2 +*P1 + P2 RI r22 G2 Coxinp P02 (3) R, P Yhe 02 R 0,2 + P182 UAI I+ P2 Ur el.* fF Q2 are equivalent resttanc R =O)OLQl and.Re2 c es of the circuits; rk ~s the reduced internal resistance of the triode,'depending,on the cutoff-angle of the collector current. Account taken of (3), the author establishes the matrices of Card, 2/ 6 26212 S11061,-)01()001'010100(100~I)rJ. Transistorized self-oscillato~s with cO'mMon emitter A055/A133 the common-emitter transistor and of the feedback-circuit fourpoles, substitutbs these matri6es In the basic equation (1) and, aftar solvi~c the thus obtaince equa- tion, he finally finds the following expression for.the generated frequency: R -.~ VW2- 4AD (12). 2A where A =(44CIC2-M2CIC~-)r2l + Lj4L2j(GjP2 +G2C1)_L2M2(G1C2 + G.,Cly B [LIC, + L2C2 + 0102 (LIL2 - M2) - C12M] r21 + + L2t (GiLl + G2L_2 2M I) + -L'(L,L_M2 r12. r12 D = r2j. For the minimum mutual inductance at which self-excitation is possible, the foi- lowing expression is found: 1 1 2 d Nid/ 2a iii (ta-) - -a (14) where v C ard 3/6 216L2 s/lo6/6o/ooo/o1o/oo7/oG9tLC Transistorized self-oscillatou,with oommon emitter A055/A133 2 Ir.,t WIC2 _r a 02CO + 41 (G,G~' w2c,c..) + C'2]; b + r12 d==`OjLjr1j (I -~--(a'L2c2)+(G14r31 + 4j-(a'L,L2jC2)X X (I - OLI CI) - -2LIL,L21 GIG2 7 -2LIL2C,2. 2 2) Autotransformer circuit.- In this case, C, = C22PI and C3 = C1 [Ri, R2 and C2 being-determined as in (3)]. By an analogous reasoning and using analogous matricEs, the author ar1rives at the following expression for the self-excitation condition: n.(1-n) r r(l-n)2' . n - n(l-n) I r21 (CllCP-+02CI) 21 Rl + R2 C3 + LP1 (GIG2-AIC~] w2L21 [(l-n)2C, + n2~2]. (18) C 3 3) Capa6itance circuit.- A block diagram is shoim as well as the same system with fourpoles in the feedback circuit. Resistance R, can be deduced from R Rt,p R; Introducing expressions: Rinp+R~ card-.4/6' 26 M, 16010001010100710091X)r Transistori.zed self-osqillators with common emitt-6r. 'A055/A!33 C1 CI C~ C2 n'A I - n = ~-, (21~ CfI + r, + Cif C + C 1 _2 2 1 2 the author finally finds for the generated frequency: R,R7rz, (Ct + C2) + r2IL ii- L21 (RI + RI) (23Y L jLz, (t?,Cl + R2C.I) + r2ARAC21 and for the self-excitation condition: P 0 - n) > r~, + t-L-LM n n). (24) RI R, R,Rj Solving (24) for'n gives the limits within which self-excitation is posdible:, b )2_ d d b + (�)'_ - (25J 2a.. -.,,.2a ----a- 2a 2a where a = + 121 (GI + G2) ~~2LLV RII?2 b = I + 2r,,Gl RIR2 or ~rVGP Card 5/6 26212 S110616010001010100710091XY, Transistorized self-oscillators with common emitter A055/A133 Por approximate calculations, it is possible to state that b --I. Two numerical examples of calculations using the above formulae (transformer and capacitance cir- cults respectively) are given. Experimental data coincide satisfactorily with the calculated results. There are 4 figures and 4 Soviet-bloc references. SUBMITTM: FebrLary 26,.19& ALIKSANDROV. A.I. Bridge-type qua:Az oseillators equipped with translators. Ism. tekh. no.12:34-36 D 160. (MIRA 13:11) (Osoillators, Orystal) . (Transistors) 3370' 311061621000100210101010 A055/A101 AMMOR: Aleksandr A I Ova TITLE: On 4-he calculation of -the thermPA comps-isation of the quartz self-oscillattor frequency FERIODICAL.,- Elekt-rosvyazl, no. 2, 1962, 67 - 69 TM-. The author first calculates the thermal compensation in the cave of the t"ransistorized o5cillating circuit of Fig. la, where X is the reactive thermo- compensating element. Fig. 1b shows the circuit with a four-pole in the feed- back. For this circuit: Ili '~z' Rew Rii Rinp, (1) C*I = Cl + C221 CII C2 + Cinp Cinp,and Rinp being, respectively, the input capacitance and the input resistance 011' the+ranslstor, and Req being the equivalent resistance of the oscillating system. --n the following calculations, ril, C11, r12, C12, r21., L21., r2'2 and %~arrd 1/3 33701 S/106/6P,/000/00P,/010/010 On the calculation of the ... A055/A101 1 %'20 represent the transistor parameters; Q, = wCjRj and Q.-, = tyclIRI, are the Q- faEtors. Taking (1) into account, the author establishes the matrix of the transistor in common-emitter arrangement, -t-he determinant of this matrix and the matrix of the four-pole in the feedback circuit. Substituting these matrices and thds determinart in the fundamental equation of the self -oscillator, the author f inds .. after some 1-,ranzformEtions and simplifications, the following expression for the ther-mal compensation condition: r2l (Ql~l T+Q2-RD+&~L21 (R,+Rlj) - T2~-f r X 21Q1Q24 d r2l(QIQ2-1)4"'L~21(')11-1-Q2)r2'TQlQ2-1)-i'~-'L21(Ql4-q2)r2l(QlQ2 where a=-2t1wCa C oy Cqj L'q and Rq being the parameters of the quartz. The (7) &)q Cq' author reproduces next (without deducing it) the thermal compensation condition lana'logous to Ml in the case of a tube oscillating Arcuit where the quartz and the thermocompensating element are inserted between the grid and the anode. He then derives (using the a-matrices of the tube and of the feedback circuit) the expression for the thermal compensation condition In the case of a tube oscillat- Card ',)/3 On the calculation of the ... 3370j_ S1106/621000100alO101010 A055/A1Ol ing circuit where the quartz and the thermocompensating element are inserted be- tween the grid and the cathode. Two numerical examples of calculation according to the derived formulae are given at the end of the article: 1) for a tube os- cillating circuit with the quartz between the grid and the an(de, 2) for a tran- sistortzed oscillating circuit with the quartz between the base and the collector. There are 3 figures and 3 Soviet-bloc references. The Soviet authors or scientists mentioned in the article are: E. N. Garmash and E.N. Zelyakh. SUBMITTED: April 18, 1961 Figure 1.. Lege~di 1 quartz b),f) C X 1 X X C, L C, IT P11C. I Card 3/3 AUMANDROV, A.I.; BOBLOVSKIY, YU.B. Quartz calibrators of meter waves on aegiconduatcr devices. Izm, teM. no-9:39-40 S 163. (MMA 17:1)