SCIENTIFIC ABSTRACT MUSTARI, H. M. - MUSIAL, L.

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SCIENTIFIC ABSTRACT
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\X @'N UNIN14 AL Wo mill Vkd=wo & 0. DOWWANdu d dw skmW dW he deak 1 0 1 Is do beaWay tone d1hin sheUs of certain tnie& Izvestiya Kazan. Filial. Akad. Nauk SSSR. Ser. Fiz.-Mat. Tehn. Nauk 1, 9-24 (1948). (Russian) The authors present the application of MuNtari's theory for finding the stresses in the boundary zone of shells [Akad. Nauk SSSR. Prild. Mat. Meh. 12,129-136 (1948); there Rev. 9, 547]. This paper begins with a summary of the general theory, introduces certain simplifications and gives an estimate of errors due to these simplifications. The theory is applied to the following shells: (a) shells of revolu- tion with a spherical shelf as a special case; (b) an elliptic owc The coustructioci of a ab function for boundary iioaea of AdIs is abo premented. T. Lew. Aq 935--'-045 Sol J-.';thSTiW-'4 -:-: .,-I -, I -I ; . . , I - . @ I z . MUSqTAR4-rff.-Fr.' Determining the deformation of medium shell surfaces subjected to arbitrary bending. Trudy KKHTI no-13-.132-137 148. (I. MIRA 12: 12 ) l.Kazanakly khimiko-tokhnologichaskiy institut im. S.M. Korova. kafedra teoreticheskoy makhaniki. (Elastic plates and shells) UM/axisearlm mar/Aprr 49 @bobwlos - Wthenatios - Applied 07- Nuslitatlve I=vestiggLtion of Strain in Elastlo Sbells for Smal' Deformations and Arbitrary Dleplacemente."@ Hh. M. Mushtari ', Fh@rs-ot,-cji Inst, Kezar- Affiliate.. Acad Sci USSR.. 14 PP "Priklad Matemat I Mekh" Vol XIII, Nc@ 2 Classifies probl,?zs of linear and rmilnear -& arv of shellf; ia which the number @@f ty-pt)e the Is reduced tc a minimmm. in additicm t-- cases cansidere'd by We i -Zaag- Chien, in wh'.3h alfferen- tiation with respect to Gaussian :cordizateti'd5ces 2 A qT2 LNO/Ugineering (Centd) Mar/Aprr 49 not change the order of -7alues characterizing deformation,- classification alGe includee boundary effects not subjecte6 to this canditicn. Jb+Ablishe6 regian of applicability of the linear thecry in general and solutions of boundary effect @ypes in particular. !=Iudes certain problemS --T strain in average-vidth shells and several oases in the integration a equatiams of nonlinear theory. Submitted 18 J@n 48. "MA'b"Ics - Shells* 11"tic Doe 49 Nonlinear Mechanics *X=Iinear Theory of Equilibrium of the Boundary Zone of an Elastic Shell,w Kh. M. Hushtari, Kazan Cbefticotech Inst imeni S. X. Kirov, 3 PY *Dak Ak Nauk SSSR" Vol L M , No 4 Derives equation for nonlinear equilibrium of bound- ary zone in elastic shell. Comparison of linear i@d aMlinear theory as applied to theoretical example at cylindrical shell of constant thickness, radius"S andjength 2L, resting 'on its terminal croes sections x1owl L 'and L acted upon by uniform internal pressure UM/Physics - Shells, Elastic (Contd) Dec 49, shan substantial errors are obtained when linear theory is used to determine edge effect in thin elss- t1a shell. Submitted by Acad A. I. Nekrasaw 30 Sep 49. 40 -1 15509 tc, XUAR* EL x TIW 8AWY go me MIA0110 bum aftedat d do -1 L JZVes- tiya Kazan. Filial. Akad. Nauk SSSR. Ser. Fiz.-Mat. Tehn. Nauk 2, 39--52 (1950). (Russian) This paper is a continuation of the author's resimch on the tboory of elastic equifibrium of dWb with ar%trary to [Akad. Nauk SSSR. tarm. mat. Meh. 13, 121AM (1949); these Rev. it, 693. The author begins with a brief summary of a previous (unavailable) paper [Trudy, Kazan. Himiko-Telmolog. Inst, 13 (1948)], where a pre- stressed shell is subject to two successive deformations. The author derives the equations of compatibility and those of equilibrium for shells as above. He modifies his general theory for special types of shells subject to certain kinds of deformations. He divides the shells into two types: (1) shells of small curvature, and (2) shells whose dimensionless curvature is of the order of one. The deformations are classified as follows: (a) the momentless deformation, where the bending deformation is small as compared with thel deformation of the middle surface, (b) a mixed deformation, where deformations due to bending and of the middle surface are of the same order, (c) a bending deformation. The author discusses separately the most important cases which are combinations of the type of a shell and various kinds of initial, primary, and secondary deformations, before and at the loss of stability. He also presents simplified equations of notral e4aMbrium, tbe, determination, of criticall loads, AWWWOK in, Partiewdar *Ab of revolution. T. LOW. aMA"sics - sumile saysillbriam NOVAar n OXL&stlc Xquillbrium, of Thin Shells With Initial Intorrections in the'rors of the Middle Surfac*,@ mi. M. Nuattari, Kazan', Phyx Tech Insty Mason AMIlate, Aced Sci TSSR I wFrMad Mteast i NOW Vol XV, No 6, py 743-750 Derives the fundamental dependences of the theory of eqM11 in thin shell* vhose asdian surface pos"smw Wtial bucklings (40s ) of the order of the thick- ases of the *bell. Considers the stressed state in allatuned (oblate) shell of rotation v%th positive ,-Gmsian curvature under the action of external. low I=/Physics - Elastic Equilibrium Nov/Doe 51 (Coutd) prossure, in the case vbere, the shell possesses lai#al Imperfection of form. Derives a formula fairldetg the upper lisit of crit pressure. Sub- wftted 8 Mar 51. 'AR19 1ho Determi na tion De fle of atigns of Prilcl.lkt.Nekh, Panel- Sum mrted 12(6) 755460 ky.ZjALt. Lc Ncwwductil e ,, Ribs and, w ami External 1353 0 keronauticus Presmwe .114rch 1954 R'h-U- M1211btari I,V, SZ1 ;ky U.S.S.R. Strength" of 16-16@@@e the-,problem the equation of compatability of Materials deformations,is integrated with the aid of Fourier's method'and -Gal the eq@ation.of equilibrium by the Bubnov . erkin mathod. The value of the upp Oi'critical pressure thus obtaUhad tallies well. with that obt y@&.AL X91tun through integrating both ' equations' @vith tk@ aid-of Bubnov-Galerkin mothocl. -The value of the Ime ri crit cal pressura dalculated in accordance with 'Apitunov's formulae, differed considerably due to,incorre.at fuifil. ment of - tha conditions of comoatability of deformit ed, o 4so point ut(that the@upperpritical pressure@obtaihA' % . by'the i@th6is-li6s above Jxwc:@@: CZ@Lt it* real. value . Y;rhile -the, ;D nu-mber of "iei=i- in th r sat(re"' - -below due to,,an. =1CF04@V p ,, , Semps'. (01b1*1 Akk (44*, fl-L oz@" 00. A-S SRTRR I i 124 - 5 7 -1- 865 Translation from: Referati,@nyy zhurnal, Mekhanika, 1957, Nr 1. p 115 (USSR) AUTHOR: Mushtari, Kh. M. TITLE: Approximate Determination of the Reduction Coefficient of the Reinforcement of a Fixed Plane and Cylindrical Plate Under Axial Compression (Priblizhennoye opredeleniye reduktsionnogo koeffLtsiyenta obshitki podkreplennoy ploskoy i tsilindricheskoy ptastinki pri osevom szhatii) PERIODICAL: Izv. Kazansk. fil. AN SSSR, ser. fiz.-matem. i tekhn. n., 1955, Nr 7, pp 23-35. ABSTRACT: Examination of the supercriticial deformation of a plate fixed to an orthogonal network of stiffening ribs and compressed in a single direction. The stresses in the central portion of the surface are determined for various degrees of loadings, and the reduction coefficients are determined; all of these reasonings are basled on the energy method. One of the alternate solutions relates to the case when the points of the edge of the panel are not displaced relative to the corres- ponding points of the ribs; in a second alternate the points Card 112 on the edge of the panel are assumed to slide freely along 124 - S7-1-865 Approximate determination of the Reduction Coefficient (cont. ) the ribs. The reduction coefficients found for either alternate are found to be quite similar. Also investigated are large deflections of a circular cylindrical panel, subjected to compression along a generatrix, following a loss of stability. The magnitudes of the lower critical stresses are found for panels having different values of the initial curvature. Theoretical and experimental data pertaining to the reduction coefficients are compared. A. S. Vo I'm ir 1. Plates--Stresses--Mathematical analysis 2 Plates --Deformation--Theory 3. Approximate computations--Applications 4 CylinJ@-i:!al panels--Deflections--Mathew,aticaI analysis Card 212 124-57-1-&A Translation from: Referativnyy zhurnal, Mekhanika, 1957, Nr I, p I IS (USSR) AUTHORS: Kornishin, M.S., Mushtari, Kh.M. TITLE: Stability of an Infinitely Long Slanting Cylindrical Panel Under the Action of a Normal Uniform Pressure (Ustoychivost' beskcnechno dlinnoy pologoy tsilindricheskoy paneli pod deystvLyem normal'nogr, ravnomernogo davleniya) PERIODICAL- Izv.Kazansk. fil. AN SSSR, ser. fiz.-matem. 1 tekhn. n. 1955, Nr 7, pp 36-50 ABSTRACT: The paper offers a theory of large deflections of an infinitely long, slanting, circular cylindrical panel subjected to the action of a uniform normal pressure from the convex side. The edges of the panel are considered attached; the cases of hinged and fixed attachments of the edges are examined. Equations are written linking the deflection of the panel and the stresses at the center of the surface with the intensity of the load; these relationships a:ppear te be exact within the limits of the assump- tions made in the theory of slanting shells. An exact analysis is carried out for the character of the deformation of the panel Card 1/2 having differing degrees of curvature. The conditions for the 114-57-1-864 Stability of an Infinitely Long Slanting Cylindrical Panel (cont. ) formation of a toop-shaped "deflection-versus-icad'' curve are found, and the upper and lower values of the loading intensity are indicated. The effect of initial deviations from the circular shape upon the comportment of the panel are evaluated. It is shown than an initial antisymmetrical deflection can strongly influence both the upper and the lower critical loading. Some relationships for the exact solution of the given problem were earlier obtained by I. G. Bubnov [ Tr. po teor,.i plastin (Studies on the Theory of Plates), 1953, pp 282-284) A.S. Vol'mir Cylindrical planels--Stability--Mathematical analysis 2 Cylindrical panels --Theory Card 2/2 , /7 6 a-,-, , A-h. /;"-/. USSR/Physics Shells FD-1663 Card 1/1 Pub. 85-15/16 Author Mushtari Kh. M. (Kazan') Title Theory of stability of a spherical shell under the action of an external pressure (in connection with the article of V. I. Feodos'yev of the same title, ibid., Vol. 18, I-To 1, 1954) Periodical Prikl. mat. i Tel:h., Vol. 19, 2@1-2,r,4, Mar-Apr 1955 Abstract The author cives a new solution to the problem of the lower critical pres- suref@r a spherical shell, using V. I. Fecdos'yev's approxiintation of the form of buc1cling by way of the ordinary procedure of integration by the Bubnov-Galerkin method; however, here he applies the principle of rossible displacements. It turns out that the solving equation obtained in this way coincidesvith the equation by the Bubnov-Galerkin method i-P t@-- 1--t side of the equation integra*,2d ir multiplied by the variation of the approxi- mating function. Three references; e.g. Kh. M. Mushtari and R. G. Surkin, "Nonlinear theory of stability of elast ic equilibrium of thin spherical shell under the action oC uniformly distributed normal cxternal pressure," P%7-1, Vol 14, No 6, l9r)o. Institution : Physicotechnical institute, Kazan Affiliate of Academy of Sciences USSR Submitted : Mar,, - 2', 1954, SOV/1 24- 57-4-4603 Translation from: Referativnyy zhurnal. Mekhanika, 1957, Nr 4, p 105 (USSR) AUTHOR: Mushtari, Kh. M. TITLE: Some Mathematical Problems of the Nonlinear Theory of the Stability of Shallow Shells (Nekotoryye maternaticheskiye problemy nelineynoy teorii ustoychivosti pologikh obolochek) PERIODICAL: Tr. 3-go Vses. matern. s"yezda. Vol 1. Moscow, AN SSSR. 1956, pp 207-208 ABSTRACT: Bibliographic entry Card 1/1 SOV/ I &I - 58-5-5700 Translation from: Referativnyy zhurnal, Mekhanika, 1958, Nr 5, p 1 10 (USSR) AUTHORS: Mushtari, Kh. M_Kurnishin, M. S. T IT LE: On the Convergence of the Galerkin Method When Determtning the Upper and the Lower Critical Load Limits in a Particular Nonlinear Problem (0 skhodiM05ti metoda Galerkina pri oprede- lenii verkhney i nizhney kriticheskikh nagruzok %, odnoy nelineynoy zadache) PERIODICAL: Izv. Kazansk. fil. AN SSSR. Ser. fiz. -matem. i tekhn n. 1956, Nr 10, pp 27-30 ABSTRACT: A shallow cylindrical shell of infinite length subjected to an external uniform pressure is examined. By applying the Bubnov-Galerkin method the authors calculate the upper (Pu) and the lower (P.) critical loads for the given problem. On the basis of the calculations performed it is demonstrated that in case of a pin- j oint- supported shell, for a wide range of shell- parameter variations, the Pu and Pe values can be determined with sufficient accuracy for all practical purposes by the second approximation. In the case of a clamped shell the Pu value is Card 112 determined with sufficient accuracy by the second approximation, SOV./I ?4--58 - 5 -5700 On the Convergence of the Gaterkin Method (cont. ) while the P. value requires four approximations. In the two cases mentioned above the Bubnov-Galerkin method approximates the Pe value on the lower side of the true value. 1. 1. Voro,,ich 1. C.yllindrical shells--Mechanical properties 2. Cylindrical shells--Mathematical analysis Card 2/2 -T PHASE I BOOK EXPLOITATION 367 -Mushtarl, Xh. M., and Gall-or, K. Z. Nel-ineynaya teoriya uprugikh obolochek (The Nonlinear Theory of Elastic Shells) Kazan, Tatkh1goizdat, 1957. 430 p. 1,000 copies printed. Sponsoring Agency: Alrademlys nauk SSR. Kazanskiy filial. Reap. Edo.: Mushtari, Kh. M., Doctor of Physical and Mathematical Sciences, and Surkin, R. G., Candidate of Technical Sciences; Ed.: Vozdvizhenskaya, M. Kh.; Tech. Edo.: Nedellka, G. N. and Sallkhova, A. S.. PURPOSE The book to intended for scientific workers, graduate students and engineers working on the design of thin-walled structures. It may .be used as a textbook for students of advanced university courses speci-slizing in the theory of elasticity. COVERAGE: The book deals with the general theory of elastic shells with large displacements and small deformations and with its applIcation in the investigation or the stability and large deflections or the Card 1/10 The Nonlinear Theory or (Cont.) ., 367 elements or thin-valled structures. There are 198 book referencesp 128 Of which are Soviet,, 50 English, 20 German. The introduction mentions a Soviet personalities in connection vith their publications in the theory of elasticity. They Include: Vlasov, V. Z.; Goldenveyzer,,A.L.;IAr*PjA1-; Tqav,A.; Novozhilov.. V. V.; Illyush1n, A. A.; Bubnow,, I. G.; and Papkavich, P. F. The authors or this monograph thank their coworkers of the MechaniCs Section of the Kazan' Branch of the Academy of Sciences, USSR for their help in the accumulation or material and In the prepwation of the manuscript. They in- clude: Kornishyn, M. S; Sachenkov, A. V.; Surkin, R. G., IsshbsVeva, F. S., Krivosheyev, N. I.; Ganiyev, N. S. It is mentioned that paragmphs 1, 14 -23, 2 5 - 35-62 were written by Ch. M. Mushtari, paragmW 2-13, 24, 63-65 by K. Z. Gallmov and 27-34 by I. V. SvirsklY. TA= OE CONTEM: Introduction 3 1. Basic concepts and notations 7 Ch. I. Theory or the Deformation of Ohellp 2. Certain data from differential gecimetry 10 Card 2/jo The Nonlinear Theory of (Cont.) 3. Deformation of a surface 4. Deformation of a shell 367 18 25 Ch. II. Equilibrium Equation in the Theory of Thin Shells for Smal I Deformations and Arbitrary Deflections 5. Equilibrium equations in the theory of elasticity in orthogonal curvilinear co@ztinates 29 6. Internal forces and moments. Reduction of stresses and external forces to the middle surface of a deformed shell 32 7. Equilibrium equation of the shell in orthogonal curvilinear coordinates 37 8. Boundary conditions 39 Ch. III. Elasticity Equations. Variational Equations of the Nonlinear T.heory of Shells 9. Relationship between internal forces, moments and deformations of the middle surfaces 50 10. Principle of possible displacements. Strain energy of a shell. Rit.z method 53 Card 3/10 The Nonlinear Theor7 of (Cant.) 36T U. Equations of the Bubinov-Galerkin method 66 12. Intro&uction of symm?trical-emponents or internal forces and mnents - Stress function T3 13. Principle of possible stress change in a shell TT Ch. IV. Classification of Problems in the Theor7 of Shells and Simplification of its Fundamental Equations 14. Small deflection. Linear theory of shells 90 15. Mediun deflection of a shell. Theory of flat shells 96 16. Large deflection of a shell 104 Ch. V. General Tbgor7 of the Stability of Thin Shells 17. Basic equations in the theory of stability of shells 109 18. On the stability of flat shells with amsill deflection 122 19. On the stability of long cylindrical shells of circular cross section 126 Ch. VI. Nonlinear Theory of Flat Shells 20. Flat shells with initial deformations 133 Card 4/10 The Nonlinear Theory of (Cont.) 367 21. Principle of possible displacements and the energy criterion of flat shells 142 PP. Equations of the Bubnow-Galerkin method for the variational principle of Lagrange 147 23. Variational equation of the mixed-type method 150 24. Application of the formula of statically possible stress changes to the theory of flat shells 158 25. Basic equations for flat shells of revolution and cylindrical shells 172 26: Flat shell as a plate with initial curvature. Basic equations in oblique coordinates 181 Ch. VII. Certain Problems in the Theory of Stability and the Large Deformations of Rectangle Plates 27. Theorem of P. F. PapkavIch on the convexity of the stability regions of, a she@l under ccmbined action of acme loads 187 Card 5/10 The Nonlinear Theory of (Cont.) 367 28. Stability of bng plate under combined action of a 100gitUdInal compression and shear 190 29. Determination of the reduction coefficient of an infinite plate reinforced by a grid of ribs under longitudinal compression load 193 30. Deterninalon of the reduction coefficient under combined action of compression and shear loods appUed to the edges of a plate 204 31. Determination of large deflections of a plate with finite dimensions 210 Ch. VIII. On Certain Methods of Solution of Problems in the Theory of Deformation of Circul Plates 1 32. Basic equations In the theory of symmetrical deformation of slightly curved circulw plates. Application of the method of power series 220 33. Method of successive approximation and method of small pareneters 225 34. Asymptotial solution of the problem of the behavior of circular plates@wder large loads applied at the edges 231 Ch. IX. On the Stability of the Moment-Free Equilibrium Conditions of Cylindrical Shells of Medium Length Card6AO The Nonlinear Theori of (Cant.) 367 35. Certain equations in the theory of flat cylindrical shells 238 36. On the stability of cylindrical shell with circular cross section under axial compression and normal pressure 243 37. On the stability of a cylindrical shell of an arbitrary cross section under longituAinal compression. Shell with elliptical cross section . Corrugated shell 249 38. On the stability of a shell of circular cross section subjected to torsion and to combined action of other loads 256 Ch. X. On the Stability, and Large Deflections of Closed Cylindrical Shells of a Circular Cross Section TAtAInitial "Imperfections" 39. Concept of upper and lower critical stresses 267 40. Lower critical stresses under longitudinal compression. Necessary modifications of the Ritz-Timoshenko method 270 41. Determination of the reduction coefficient of the covering of a reinforced shell under axial compression 277 42. Determination of the lower critical load Of a shell under allround compression 285 Card 7/10 The Nonlinear Theory of (Cont.) 367 43.- Determination of the upper critical load of a cylindrical shell with initial imperfections under axial compression and all-round external pressure 290 44. On the stability under torsion of a cylindrical shell with initial Imperfections 297 45. Nonlinear theory of the edge effect in a cylindrical shell. Effect of the initial edge deformation on the stability of the shell under axial compression 3o4 Ch. XI. On Large Deflections of Flat Cylindrical Pauels 46. On the stability and large deflections of a long cylindrical plate under uniforiLly distributed transversal load 309 47. On the convergence of the Galerkin method in the solution of the problem of section 46 316 48. Cylindrical panel supported by flexible ribs in the tangent p1we under normal pressure 320 49. Effect of asymmetric Imperfections on the deformation of flat panels under transversal load 326 50. Deflection of a flat cylindrical panel with free supported edges under uniform transversal load 330 Card 8/10 The Nonlinear Theory of (Cout.) 367 51- Experimental investigation of the deflection of a panel under transversal load 334 Ch. XII. On the Stability and Large Deflection of Circular Conical Shells 52. On the stability of a conical shell of a circular cross section under longitudInal compression 338 53. On the stability of a conical shell under combined action of a longitudinal compression and external normal pressure 342 54. On the stability of a conical shell of a variable thickness under uniform external pressure 347 55. On the stability of circular conical shells under torsion 351 56. Lower critical load of a conical shell. Local stability of shells 356 Ch. KIII. On the Stability and Large Deflections of Shells of Revolution 57. On the stability of an axisymmetrical equilibrium of a moment free shell of revolution 361 Card 9/10 The Nonlinear Theory of (Cont.) 36T 58. On an axisymmetrical deformation of a flat shell of revolution under large deflections 36T 59. Flat spherical membrane under internal pressure 376 60. On male-Ing more precise the general theory of buckling of shells 381 61. On the lower critical pressure of a total spherical shell 385 62. Certain ccmments an the methods of solution of a problem analyzed in section 61. 393 Ch. XV. On One Method of the Solution of Boundaa7 Problems of Nonlinear Equations in the Theory of Flat Shells 63. Large deflections of the rectangular cylindrical panel rigidly fixed at all edges 397 64. Exact solution in series farm for the panel hinged at all edges 407 65. Free supported cylindrical panel under uniform tension-compression load and external normal pressure 416 References 419 AVAILABLE: Library of Congress (QA935-M96) LK/Sup June 26,1958 Card 10/10 -/J AUTHOR: 20-1-9/U TITLE: On the Inverso.Boundary Value Problems of the Nonlinear Tnsory of flat Shells (Ob obratn. kh krayevykh sadachakh nalinoynoy toorii pologikh-oboloohe7 PERIODICAL: Doklady Akad. Sauk SM, 1957,Vol-116,Nr.1, PP-.35-37 (USSR) ABSTRACT: Lot the medus aur-faae 3 0 of a flat thin shell of constant density t be obtained before it is loaded by a normal shift *0. The,sathox, farmul.&tes two problems: 1. For a glven 3 determine an 80 such that for a given pressure p, gi.ven parlpheral farces and given boundary. conditions tke *hell &SSMM*g AL given fOrM. Z.. Detexmime the press- e and strain for given S, wG, v which satisfy the. carresponding boundary conditions. As an-axanpla a problem of the type 1 is considered in detail, xhare under several simplify-img assumptions the solution is ought in form of a series. The concrete resluts of the very anded calculations are only sketched. M ASSOCIATION: K&MI Branch of the Acad, Se. USSR (Kazanakiy filial AN SSSR) PRESMIMBY: L. I- Se&w, Academician, April 3, 1,957 SLMNITTED: Februaz7 18, 195T AVAILABLE: Libtary of Congress jOV/179-59-2-15/40 AUTHOR: Muslitari. Kh. M. (Kazan') TITLE: Bend-ing Theory of Medium Thickness Plates (Teoriya izgiba plit sredney tolshchiny) PERIODICAL: Izvestiya kkademii nauk SSSR GTN Mekhanika i masfti-no- stroyeniye, 1959, Nr 2, pp 10?-113 NSSR) ABSTRACT: The classical th ory of thin plates may lead to errors of the order of h2/a compared with unity, wiiere 211 is the thickness and a is the width of the plate. In the present paper, terms of this order are retained, and quantities of order bL4/a4 and higher are ne.crie:@tedl. Equations are derived for maximum deflection, bending and twisting moments, and shear forces. Numerical --onsiderati-)a off a supported plate subjected to a sinusoidal load and having a = 6h shows that compared with the ar,,curate solut-Lon of Vlasov (Ref 4) the deflection given by the present solution is 2% Card 112 SOV/179-59-' --15/4-0 Bending Theory of Medium Thic.!cness Plates in error, whereas ttie classical solution -is in error. There is 1 table and there are '? references, of which 5 are Soviet and 2 English. SUBMITTED: January 6, 1959. Card 2/2 AUTHORS: Klishtarf arj@-l TITLE: Theory Cf sluping PEBIODI@AL-. iz-vestiya A--,uder- z-ai nauk, Ye-dhar,!Ka i pp 6c,--6-7 i.USSR' ABSTRACT: The paper The marhemati.,,-@--- s tab! she@ and 1 a ri'a -!1' -,,-3 --'ri no-mal suresz@ In. numeri-@alll.; rie-7 @'Ol e 7,;- J stated i r, s r, --s ) e J- (3, 5)) :in i the s imp. i i J e - ? 1@a- 11 j - 4. J -1 "1 1" -!1 11 - . - of a clamped isc-tropic. siiejl w, i a r e e r i @i e i - qxPressinns , ii-- !P L i 21 a, -- c o r d i n c h P r-,, (,v, e n rdin6 t@, ne Kir.-h and arco c , a C r, m ) ar 1 s ci ri- A nul :"a tab-ul.ted r,rL Dage 111, C)Lt@ a , 112 p a g, e 6 t h e @ i f f e e a in o -,.) n Ttiacry S I The-j ASSC)@'TA21011- k'- 7 KMISHO, M.S. (Kazan); MUSHTARI, Mb.M. (Kazan') Algorithm of a solution of nonlinear problems in the theory of sloping shells. Prikl. mat. i makh. 23 no.1:159-163 Jw-F '59- (Elastic plates and shells) (KrRA 12:2) (Differential equations. Partial) 66409 AUTHORS- Mushtari, Kh. M., Teregulov, I. G. soT/20-12e-6-13/63 TITLE: On the Theory of Shells of Moderate Thickness PERIODICALi Doklady Akademii nauk SSSR, 1959, Vol 128, Nr 6, PP 1144-1147 (USS10 ABSTRACTz The authors based their investigations on the principle of virtual displacements to derive the equations for the equi- librium of shells. These equations make it then possible to introduce simplifications of a predetermined accuracy. Moreover, the problem of boundary conditions in the theory of thick plates and shells is solved here. The first equation written down re- fers to the virtual displacements of a shell (which is assumed to be a three-dimensional body), and the equilibrium equations referred to the nondeforued state are derived next. The static boundary conditions are then specified. Hooke's Law is written down in a generalized form. The authors then investigate the linear problem more thoroughly; the error permissible is of the order of deformation together with an error of the order of magnitude h 2/R2. Here, R denotes the smaller radius of curva- Card 1/2 ture of the surface, h being a constant. The computation course e 66409 On the Theory of Shells of Moderate Thickness SOV/20-128-6-13/63 is followed up step by step. The equations derived here were applied to the solution of problems concerning the flexure of a circular plate with a radius a, and a rigid central disk with radius b under the action of a unilateral uniform pressure q in the region b< r S. hl/h < E/E', then theory 2) is inapplicable; since condition (9) is not fulfilled and the influence of transverse shear on the magnitude of the deflection licable- is negligibly small and, in this case, theory 1) is a n (b) if s = r + 1, for example, hl/h -v"F, E/E, - E3 , then theory 2) is applicable and the correction to the deflection is of the same order as that determined by theory 1): (c) if s > r + 1, theory 2) is applicable: (d) if s = r + 1/2, h' V_e /h - E/E', the filler can be termed rigid, and theory 2) is applicable. There are 5 references: 4 Soviet and I English. SUBMITTED: May 7, IL960 Card 4/4 MUSIITARI, Kh..I.T.)- STMIKII!, R.G.. ear tilch.nfiuk- nc.14-23 -3j' (.811 1L; p (I 6 BOMVSM P. v PHASE I 1300K EXPL40ITATION SO V16 206 Konfe-rentalya po teor1l plastin I obolocheic. Kazan'. 1960. Tru-dy Konferentaii po teorit plastin I obolochek, 24-29 cktrabr7a 1960. (Transactiona of.the Conference.on the Theory ofTlates and Shells Held In Kazan', 24 to 29 October 1960 Kaza@ [1zd-vo Kazanskogo goeudarstvannogo universitetai-1961. @@6 p.- 1000 copies printed. I . Sponsoring Agency: Akademiya nauk SSSR. Kazanskly filial. Kazanskly gosudarstvennyy univeraltetim. V. 1. Ullyanova-Lanina. Editorial Board: Kh. M. Mushtari, Editor; F. S. leanbayeva, Secretary; N. A. Alumyae, V. V. Bolotin, A. S. Vollmir, N.,S. Ganlyev, A. L. Golldenveyze4 N. A. Killehavakiy, M. S. Kornishin, . A. 1. Lux;lye, 0. M. Savin, A. V. Sachenkov, 1. V@ Sv-lmkiy, R. G. Surk1h, and A. P. Filippov. Ed.: V. 1. Al*kBagih; Tech. Zd@:- Yu. P. Semenov. PURPOSE: .The collection of art1clos Is intanded'for @aientlsta'and engineers iho are Interested In the analysis of strength and stability or shells. Card 1/14 Transactions of the Conference (Pont.) SOV/6206 COVERAGE: The book is a collection of articles delivered at the Conference on Plates and Shells hold in Kazan' from 24 to 2j October 1960. The articles deal with the mathematical th3ox7 of plates and shells and Ito application to the solution, in both linear and nonlinear formulations, of problqms of bending, static and dynamic stability, and vibration of ragular'.and sandwich plates and shellb 6f Various shapes under varioug loadings in the elastic and plastic regions. An4ys2v io made of tho behavior of plates and shells In fluidaj and the effect of croop of the material is considero4. A numbo@ of papers discuss problems associated with the development of effective mathematical methods for solving problems In the theory of shelli. Some of the reports propose algorithms for-the solution of problems with the aid of electronic computers. A total of one hundred, reports and notes were presented and discussed during the con- ference. The reports are arranged alphabetically (Russian) by the author's no e. Card 2/14 Transactions of the Conference (Cont.) SOV/6206 Grigorenko, Ya. M. On the NonBymmetrical State of Strese of a Conical Shell of Linearly Variable Thickness 142 Diugach, M. I. Uniquenesas Cond]'tiona of Displacements In Multiply Connect-ed Regions and Shells With Openings 149 Illgainov, M. A., and Kh. M. MuSjitarj. Some Problems of Static and Dyna-mT-c-75-t-ability of Sandwich Plates 155 -1 1 Kan, S. N. 'Y"hermal 3trotsoes 'x. a ('1rcular Conical Shell 164 Killehavskiy, N. A. kppruxi=_@7e Methods for Investigat- ing Equilibrium a-rd Vibration of Shellsas "Discrete Continual" Sys-tans 170 Kc,valenko, A.. D. Solut-lon, in 3peCial Functions of Unsymmetrical-Deformation Prob.ems of Shallow SDharlcal and Conluii Shall.s 177 Card 7/14 2LI LitoD 24536 S/179/61/000/002/001/017 E08 l/E I/* i AUTHORs Mushtari, Kh.M., (Kazan') TITLE: The general theory of shallow sandwich-type shells PERIODICALs Izvestiya Akademii nauk SSSR. Otdelsniye tekhnicheskikh nauk, Mekhanika i mashincstroyeniye, 1961, No.2, pp. 24-29 TEXT: In the work so far carried out on the theory of 3-ply shallow sandwich-type shells, it has been assumed that the shell in of symmetrical construction. This assumption limits the region of applicability of the theory. If, for instance, the temperatures of the bearing layers (the two outside layers) are different, or if the permitted stresses in theme layers differ in compression and tension,, it is reasonable to take the bearing layers as having different thicknesses, and as being constructed of different materials. The paper develops the general theory of shallow shells so as to allow for temperature effects and for unsymmetrical construction. It is assumed that the normal component of the displacement of the shell (the displacement in the z direction) in independent of z, and that the Kirchhof hypothesis is applicable to the bearing layers Card 1/2 24536 S/179/61/000/002/001/017 E081/E141 The general theory of shallow sandwich-type shells in view of their high mechanical strength. The filler (the midile layer) is assumed weak in shear, and all the layers are assumed thin. on the basis of these assumptions. equations are given for membrane stresses and for bending and twisting moments. Taking into account the equilibrium equations and the work of deformation of the filler and the bearing layers, the equations governing the behaviour of the shell are obtained, Particular cases of these equations are considered as followss a shell with very thin bearing layers; a shell with a very pliable filler; a cylindrical shell; and a shell with isotropic layers. Ih the latter case, the system of basic equations reduces to three equations relating to the deflection, stress and shear functions. There are 4 referenceal 3 Soviet and I English. The English language reference readsi Ref.1t E. Reissner. Small bending and stretching of sandwich-type shells. NACA, Technical Notes, 1949, No. 1832. ASSOCIATION: Kazanskiy filial Akademii n&uk SSSR Card'2/2 (Kaz^nl Branch, Academy of Sciences, USSR) SUBMITTED.k May 7, 196o 1 SUIW W&W /000/000/015/008 /87 AA id- t-,7.,@.. "Ve-ior &-@Pl b6lodhOki -@-t u yusnc ij - ". O'd IA on Ap P;F VIA zror@ J?r t i sw W, At"W ZQ-' W.",I T a. -y- -W ZU ,e2hF x@- f @-'-thw Are i'land -6i 0 T 11.1- um is ead li ri @-.u t7t 37146 S/179/62/000/001/016/u27 E081/--'535 0 C "his h t (&azan' ri CLE': On(- refinettient of tile anoroximate theory of sandwich n1ates with filler core Tzvesti.ya. otdcleniye tekliniches- J@ij,Zjl IlaUk. Mokhanika i mashinostroyenive, no. 1, 1962, 12 --j - 130 T'-"T 'file :3aner is a continuation of 7)reviotis w-ork I z v. I,N oTN, Mekhanika ( @(, J*. - i mashinostroyenive, 1960, .\0.6) In tile thoorv of thin sirlL..Ile izxyer plates, it is usiial to assume that stresses normal to tile surface have a negligible effect on tile stresses narallel to the surface. On the other hand, it has been assumed in some previous works thitt in a light filler stresses parallel to tile surface have negligible effect un sag. "his assumption applies if the moduli of elasticitv Of Lhe core are smal L in the directLon of tile plaile in comparison with the modulus in the transverse direction. However, inter- mediate cases can arise in which all stresses are of the same order of magnitude. The paper gives it refinement of tile theory Card 1/2 one refinement of the approximate S/179/62/000/001/016/027 RO 8 1 / E r, -, 5 wiiich includes thi s c;tse. The layers are assumed to he ortho- tronic with compressible core; the displacements in the filler core are expressed approximately as cubic equations in z ajI d in terms of' the displacements at the middle plane, and the di-spla.cements in the upper and lower layers are written in accordance with the I@irchhoff hypothesis of deformation. Allowing for ske@.%r svmtaetric and -symmetric bending, for tho equilibrium equaLions and for the compatibility of displacements at the upper and lower surfaces of the core, equations are obtained for stresses, beriding and displacement in the bearing layers. fhe compression of a souare plate with freeLy SUPPorted edges bv a force uniformly apnlied to all edges is discussed, and it is found that if stresses parallel to the surface are neglected, it gives as an answer a substantially lower critical stress corresponding to plate failure. For a material with Paisson's raLio of O./f, the lowering amounts to 25,"7. There is I table. -iU.3NIITTED: September 11, 1901 Card 2/2 MUSHURI, Kh.M. (Kazan') Theory of sandwich shallow shells with filler layers of variable thickness. Izv.AN SSSR.Otd.t@kh.nauk.*kh. i mashinostr. no.4: 71-76 Jl-Ag 162. (MIRA 15:8) 1. Kazanskiy filial AN SSSR. (Elastic plates and shells) MUSHTARI, Kh.M. (Kazan') Area of the application of approximate theories of sandwich plates with nonsymmetric structure and a filler. Izv.AN SSSR.Mekh. i mashinostr. no.5:176-178 3-0 163. (KRA 16:12) KGRMSH.U:, M.S.; @&SHTARI, Kh.M., prof., doktor fiz.-mat. nauk, otv. rea. [Nonlinear proolems .4n the t:.eory of @lates and s-allow shells and methods for their solution] Nelineinye zadac:i teorii FL-istin i poloFrikh obolochek i mptody ikh resNenii-a. I I (INI"-,A i'-.o) oskva, lzd-vc,) 19@4. 19 1 p. - M ACCESSION NR: AP4026953 S/02513/64/004/001/0045/OOU AUTHORs Mushtaris Rh M. (Kazan) TITLE: Theory of flexure of a rectangular plate of variable thickness SOURCE: Inzhonerny*y zhurnal, v* 4, no, 1, 1964, 45-49 TOPIC TAGS: flexure theory, rectangular plate, variable thickness plate, square plate, uniformly distributed transverse load, maximum stress intensity, maximal deflection, freely supported boundary, Poisson coefficient ABSTRACT: The author studies the effect of a uniformly distributed transverse load p applied to a square plate of variable thickness 2h on flexure. He is concerned with determining a law for varying the thickness to achieve minimum volume for the plate, given a maximum value for the stress intensity or maximal deflection. This law is approximated by f3 Cos t Cos iq + a,, (cos 4 cos 3TI + cos 3E cos q) + 1j., coo 3-3 and is, in the ideal casej, to Cos a Cos (2) Card 1/2 AC03SION NR: Ap4o26953 The deflections are assumed small,, the deformations elastic, and the boundary of the plate freely supported. The author is indebted to N. K. Galimov for program- ing this problem. Orige art* hast 25 formulas, :ASSOCIATICti., none SUBM1TTED: 2ojun63 DATE AOQs l5Apr64 ENCL# 00 SUB CODE: AP NO ERF SOV 1 000 OTHIRt CQrd 2/2 MIMITAR., Kh.M. @ y --I' ,.e b,-ii-@ g . -- @, , A;- , . " , ,E4 '. s@ ': w: *,.,. Am Inverse prcblem @- ---t t, variable thIck-n@-ss. ::@Zt-Z-.L. . 4 nl.311r'3-5]@ '- tL.. @ 7 -Lo" L-00755-67 T 1%36-67 EIWP(d) /E WT (m)/EWP(j6/EVjP C V)A. I-jp(k) _ jjp(D@ _,jAj/D,j A @A12@032964 SOURCE CQDEs UR/W8/66/600/002/0035/0047@' AU-Ln0i: Galimov, N. X.; Mushtari, Hh. M. GRG: none TLITIE: 71heory of three-layer plates and shells, U SOnCE: 'Kazan. Universitet. Issledovaniya po teorii plastin i obolochek. no. 2, 964 TOPIC TAGS: metal stress, shell deformation, metal deformation A3-STRACT: -1ho authors derive equations for equilibrium and the conditions for Joint deformations of the slanting shell'of an asymetric structure, considering the transversal def ormalt-ion @_f th`ofil@ler. The tangential and normal displacements of the middle surface of the filler, a shear function, and the transversal deformation of the are takon as variables. The filler displacements are approximated by a power c-4pansion of the normal coordinate. The buckling is approximated by a linear function and the tangential displacements by a quadratic one. The filler shears are assumed to be constant along the thickness. Zie stresses are reduced to the middle filler surface; the deformations are assumedto be small, and the budding finite. The problem of stability of a cylindrical shell with orthotropic filler with reduction, and with a i rigid isotropic f' or without F(iduction is solved. Orig. art. bass 42 equations. ':@ ---, SUi3x Diaz. --jur,63/ 0,UG RLF1 011 -MUSHTAY)ff Atf , Killing mehinery safety attachments. Stan. i instr. 24 no.5t3l Ky '33. (KLRA 6:6) (Milling mchinos) KUSHTAYBV, A.F. Protective devices used in vertical milling machines. Stan.1 instr. 27 uo.12:30-31 D '56. (KLRA 10:2) (Killing machines) BOIRWINO AJ., lush.; KOROZOT. Iel., Lath,; KWINOT, V.A., Inch,; LAPIDUS, A.S., Insh,; BNOT, T.S.. lush.; KATJYWT. LJ., inzh.; 'Wa4m.-.- A.S. -Insh.; FROKOPOTICH. A.Ye., red.; SHMSMMINA, Ya,A,, red, ts-iffwas.; MAMMA. Te.T., takhn. red. (Modernization of planers, slotters, and broaching machines; a guide] Nodernizatofts, strogallmyld6 dolbeshakh I protlashmM stankey; rukovodlashchis materialy. Pod red, A,2. Prokopovicha. Moskva, Goa, nauchno-takhn. izd-vo mashinostroit. lit-ry, 1957. 178 P. (KOA 11:8) 1. Moscow. Akepertmentallnyy naxwhuo-iseledovatellskiy institut metal- lorexhushchikh stamftv. (Machine tools) BOLTUKHIN. A.K.; STIRLIN, S.Z.; 6EC 9USHTA2,W iJKOROZOV. I.I.: KUDINOV, V.A.; KOKAKHOV, G.A.; AZARXV`ICm;7T' W.-, EMPUS-.-A.S.; PROKOPOVICH, A-re., redaktor; RZHAVINSKIY. Y.T.. redaktor izdatelletys; TIKRANOV. A.Ya.. tekhnicheekly redaktor [Modernization of knee and column type milling machines; instructions] Kodernizataiia konsollno-frezernykh stankov; rukovodieshchis materialy. Pod red. A.B.Proicopovichs. Koskva, Goa. nauchno-takhn.izd-vo mashino- stroit.lit-ry. 1957. 194 P. (KLRA 10:8) 1. Moscow. Kkaperimentallnvy nauchno-issladovatellskiy institut metallorezhushchikh stankov (Milling machines) KUSHTAYNV. A.F. Iffect of clearances In the elements of drives on the smoothness of table displacements. Stan.i inetr- 31 no.8:9-12 Ag 160. (KIRA 13:8) (Killing machines-Electric driving) MUSHTAYLV, A.F. Modern plano-milling machines; survey of foreign literature. Stan.i instr. 32 no.8323-30 Ag 161. (IMPLA 14:8, (14il-ling machines) MUSHTAYCV,, A.F. Gape in feed-mehanism drives of heavy plano-milling machi as Stan.i instr. 33 no.2:11-16 F 162-. (KrRA 15:1) (Feed mechanism) (Milling machines) LOVI, A., podpolkownik; SHUL'G&. N., podpolkovnik; KASURMY, B., mayor; #-K@- or. Simplifying the rules of fire for adMtsent from 82 sm. mortars; discussion of an article by Lt. Colonel A. Chervonyt, Docent wA Candidate of Technical Sciences, in no. 4. Voen.vest. 36 no.7: 53-60 ji 156. (W& 9: 8) (Mortars (ordnance)) (Cherwonyt. A.) )(USHTUKOVA. 0. Ta. ;. IBCRSHGMffSKATA. S.I., red.; JAVONEVSXAYA, L.G., tekhn. 0 [In the struggle for aconomw In the use of mterlals] 7 bor"be za ekonom1tu materialov. Daningrad] lerdzdat, 1954. 59 P. (Novator7 laningradskol pronVehlemosti, no,6) (MIR& 11:7) (Shoe industr7) I @ " @ @ " / , - , , ", IOSEV, I.P., TUZHIIKIII, I.H.: KUSHUWT,@.R*I.,, --- Self-foaming porous plastics made of polyesters and dilsocyanates. Diul.takh.-ekon.inform. no.2-30-32 158. (KIRA 11:4) (Plastics) MUSIAL, Albin (Krakow, Wyezynskiago 7/6) Case of penetration of the human eye by Therosycon tesselatum. Klin. oczn& 24 no.2:147-148 1954. (BYX. wounds and injuries. *penetration by Theroviyeon tesselatum) (LUGHESI *Theromyson tessels.tum, penetration In human eye) EMRM MEDICA See 12 Vol 13/8 Ophthalmology Aug 59 ravajoro - catania 1295. TI(E TIfERAPEuTIC RESI--!LTS OF NITRO('.RANUI-OGFN' TREAT&TENT, ON TBE BASIS OF 2.5 YEAM' CLINICAL 1':XPVlilrN(-I-: IN OVER I-M CASFS - Wyniki lerzenia iperytem azotIlWyn) na PUd5taW1f' 2.5-letnii-gi) jj().4- wiadczenla klinicznego w ponad 150 prz.-,-padkach - M u s i a l' A. Oddz. Ocznego P.S. K.. Krak6w - KLIN. OCZNA 1957, 2TrTTM"- 7T.F On the basis of Aleksandrowiez's works concerning the anti -inflammatory vffevt of nitrogranulogen in various morbid processes, such a treatment for eye diseases was initiated in January, 1949. The (loses, 1/10 of those applied in America. were administered according to the programme elaborated by Aleksandrowicz. In September, 1949, at the Congress of the Polish Ophthalmological Society in Cracow. the therapeutical results In over 40 cases were discussed. Up to the present inmovnt, the number of patients treated with nit roll ranu logen exceeds 150. The results are encouraging. E CERPTA MEbICA Sea gy 59 X 12 @1 13/4 Ophthalmolo Apr 626, A LARVA OF THE VITREOUS BODY, THE CAUSE OF SEVERE ENDOPHTHALMITIS LARVOSA - Larwa szklistki przyczyn@ cieikiego zapalenia �r6dgalkowego. (Endophthalmitis lar-vosa) - M u s i a i A. Odd. Oczn. P.S.K., Krak6w - KLIN1.OCZNA 1958. 28/2 (715-M) Illus. I During the section of the eyeball which took place after removal of the eye with endophthalmitis, a larva was found of undetermined kind. The host was a peasant girl of 15 yr. The disease lasted about 9 months. Szmyt - Warsaw MIAL, Andrzej - -- - Some notes on coal deposits in Korea with regard to the coal mine deposits in Sinr-Chlang and An-Dju. Przegl geol 10 no.6.316-318 Je 162. 1. Zjednoczenie Przedsiebiorstw Geologicznych, Warszawa. I-ILI S L".1, Ajitoni a@)uara,us *,;4t!l sf-ff trarsvosa@.'- f1r7-, nF j mandible frjr th- trea-@Rer.+, r.-f pr(--e,- ia Czas. stomat. 18 n(-.5;447-501 MY'F)@. 1. Z za-k@adu Kalow'r-ach J@7-. dr. F. m,TJSIAL, Edward, mgr.inz. On the selection of the proper cross-section installation pipes. Wiad elektrotechn 30 no.2:46-47 F '62. r- 1. Politechnika, Gdansk- MUSIAL, Edward, mgr inz. - - 1-11--l- ------- "The electric wireman; collection of information in questions and answers" by F. Rozmus, W. Stanislawski. Reviewed by Edward Musial. Wiad elektrotechn 32 no. 1:29 Ja 164. MW.LAI, J . For an interdepartmental accounts settlement. p. 260. (P'rZr,GId Ij SKORZANY. Vol. 11, no. 10, Oct. 1956, Lo(jz, Poli,nel) SO: Monthly List of East European Accessions (UAL) LC. Vol. 6, No. 12, Der. 1Q57. Uncl. BETAK., M,J, inz.;_14USIAL, J. Development of two-layer panels at the Prazske cihelny National Enterprise. Stavivo 41 no.10:356-358 0 163. MUSIAL, L.; CHOBOT, M.; PUDO, J. Water pollution in the Rabe River. GoBp wodna 21 no.8:359 Ag 161. MUSIAL, L.; FM, J.; LABUZ, W. Water pollution of the Skawa River. Gosp wodna 21 no.8:360 Ag 161. MUSIAL, New derivatives of hydanton substituted in the rositiors 3,5. 1. p. 1115. /IIC', API-1- RC,CZ,PTIKI CMIII. (Pols a Akademia Nauk darszawal. Vol. 2, no. 5, 1959 p Monthly List of East turope-an Accessions (EEAl LC, Vol. 8, no. 7, July 1959 Uncl. - MUSIAL, Leopold On new substituted hydantoin derivatives in the 3 and 5 positions. III. Rocz chemii 35 no.6:1651-1660 161. 1. Zaklad Chemii, Wyzsza Szkola Pedagogiczna, Krakow. MUSLAL, Leopold; KGRGHODA , Maria jolante. New hydantoin derivatives substututed in positions 3 and 5. Pt. 4. Rocz chemii 36 no.11:1607-1614 162. 1. Katedra Chemii, Wyzsza Szkola Pedagogiczna, Fxakow. MUSIAL, Leopold; STANIRC, Jadwiga Now hydantoin substitution derivatives in positions 3 and 5. Pt. 5. Rocz chemii. 37 no.6.6ZI,628 163. 1. Katedra Chemii, Wyzsza Szkola Pedagogiczna, Krakow,