SCIENTIFIC ABSTRACT MARKANOV, N.A. - MARKAROVA, T.A.

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SCIENTIFIC ABSTRACT
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HARKANOV, N. A. FARKOOV, N. A. -- "Penoganchl (foamed gypsum-clay stucco binder?).* Inst of Structures. Acad Sci Uzbek SSR. Tashkent, 1955- (Dissertation for the Degree of Candidate of Technical Sciences.) SO: Kmixhnava letopIALL, No. 4, Moscow, 1956 HARUKOV, N.A.. kand.tekhn.nauk .W~ . ;: Testing and controlling properties of lightweight materials and concrete mixes. Bet. I zhel.-bet. no.6:231-232 Je 158. (MIRA 11:6) (Lightweight concrete) KARKMV, N. A. - -- - - - Problem of IsTroving the properties of foam, Izv4I Uz.SSR. Ser.tekh.nan no.1:45-50 160. (XIBA 13:6) 1. Sradneasiatakiy politekhnichoskiy instituto (Foam) MARKA 4, (brestskaya voblaset') The joy of work. Rab. I sial. 34 nD.5:6-7 MY '58. (MIRA U:6) (Drogichin District--Svine-Feeding and feeding stuffs) MARKARIAN, M. Ccntamination of water resources by radioactive materials and sanitation problems in the water suppiy. Tr. from the Russian. P. 131. VODNI HOSIODARSTVI. (Ustredni. sprava vodniho hospodarstvi) Praha. No. 5, 1954. SOURCE: East European Accessions List, (EEAL). Library of Congress. Vol. '5 no. 12, December 195% MARKAROV A V. gornyy inzh. Use of the 111-1.,75 boring unit for drilling h&Uv. Ugoll 37 no.3-lz42-43 N 162. (MM 15:10) 1. Treat Tulshakhtoosusheniye. (Rock drills) (Mine ventiliation) G. MWAUV SitftGUINUM Agents Jul/Aug 1946 Spraying appwatal "Ixtinguishing Oil Fires by Means of Atomized Water Spray," G. Markerov, 4 pp "Mor Flot" No 7/8 Partly mathematical discuesiox-. Mentions that In choosing spraying equipment it Is important to In- vestigate not only the rate of flaw per secoad but also the diameter of the area covered by the spray. P~,, 16T,7 16T7 SI"OV.r -L It t Sur- I,.- sw9 tems nt-. F L-11. 127 T). ')ill "Litera- ra": T'. 7WA 41"i 40 Illy ob log 00 os *3 ~44 --rt7r-,j-j j-v-%j-j_m $w too u 0 AV r# to A 4 v a w of a n 14 a Ko 1 1* 1: 1 04 10, *1'0 0 000 ,so -90 see TV . 1D# N&L,; XUA~, G.I. Impale* moswurements In a ba3A amplifier* Vost*Lsn*uA6 9 nooll:95-98 1 154. (KIRA 8: 7) (Ampliflors, Vacuuo-tabs) AUTHORSz Krasillnikov, V.N., Makarov, G.I, SOV/54-58-3-5 /19 TITLE: Transient Processes in Linear Vibrators (Nestatsionarnyye pro- tsessy v lineynykh vibratorakh) PERIODICAM VeBtnik Leningradskogo universiteta. Seriya fiziki i khimii, 1958, Rr 3, pp 27 - 50 (USSR) ABSTRACTs The present paper is a part of the dissertation written by TT,~ Krasil InikcFv. G.I., Makarov suggested the problem and helped cla a number of quistions. The authors investigated transient processes in thin serials '. Paragraph I deals with the problems arising in the theory of thin aerials, Although the basic investigations on the steady theory of thin aerials have been published already soffie time ago (Refs 1,2) discussions arose in Soviet and Ameri- can technical publications (Refs 4-8), dealing with the formula.- tion of the integral equation for an aerial with a so-cqlled gap The transient excitation of a thin cylindric aerial (� 2) as weil as transient current waves in the aerial (� 3) were investigated From the practical point of view 2 facts are of particular im- portance in the investigation of transient processes in various syitems: 1) the behaviour of the system during the initial mo- Card 113 ments, especially the investigation of the first half waves of Transient Processes in Linear Vibrators SOV/54-58-3-5/19 the signal, 2) the characteristic of the process as a whole and the determination of the time after the lapse of which the sys- tem becomes steady. Paragraph 3 gives the answer to the first question. The current in the direct and in the once reflected wave was found in the first approximation. Transient distortions were found only in a small domain around the front. These tran. sient phenomena which depend on the diameter of the serl-al musi be considered in the examination of the signal front. As regardp the second problem, it appears that from principal cons2derationp repeatedly reflected waves must be investigated and the constant. ly increasing transient process in the range of the front has ~.o be considered, In the case of thin aerials the real transient process can be assumed asymptotic. In the case of an arbitrari,y thin aerial the transient distortions in the range of the trav-.- ling wave front are completely absent. As the radius of the aerial is insignificantly small, it can be assumed that the transient characteristic impedances introduced in � 3 adopt their definite values Z(z) from the very beginning. For this reason the .7oeffj cient of reflection on stead as well as on transient c~ondition6 Card 2/3 differs only little from (-1~ and can be replaced by the steady Transient Processes in Linear Vibrators SOV/54-58-3-5 P9 2i or. formula K a 0. The interaction of the reflected waves witn thoR- 0 generator must be considered as well. This is possible if the considerations are started from the simplest quasisteady case. The summation of all travelling waves must yield the steady con- ditions in the vibrator. According to the suggested method tran- sient processes in thin serials can be thoroughly inveBtigated also ofi-the occasion of more complicated cases. The analysis does not become too voluminous if in the case of a sufficiently low ratio two basic classes of transient processes in aeria2s which are determined by the longitudinal and transverse dimensions are investigated separately. The transient phenomena in the field of the aerial (above all in the distant zone) can also easily be irk- vestigat6d. Work on these calculations is under way. There are 7.figures and 22 references, 12 of which are Soviet. SUBMITTED: March 5, 1958 Card 3/3 XMIMMIKOV. T.N.; KAKAROT, G.I. Nonsteady processes In linear antenn a [wltb summr7 In Bn,-,Ilshj. Irest,LM 13 noal6t27-30 '58. (MIRA 11:11) (Antennas (Nlectronics)) F+ W! SO. 'a It 'a Len .0. 110 1 z -0~ 'I, a , . a .18~ I d t-11 IV. to A~ ru 0. sr am a 0. 0 1,32 z ke %, Q 00 c fail. goo tvc 10, A 'a 5 SIM 9 202-5 2 L D 6~ A- I HUI TILIZAROV, B.V.; KRTLOV. G.N.; PAKAPDV. 0.1. .Mm~ AsyrptotIc methods for the calculation of transients in low-frequency -69 F 959. (KIRA 12:1) filters. Radlotekbulka 14 no.2:63 (Radio filters) 69908 s/iog/60/005/04/023/028 1,0 0 0 E140/E435 AUTHORS: Krylov, G.N, and Makarovs G. TITLE: Attenuation Functions of the Electroma~netic Fields of a Vertical Dipole and a VeRicalAntenna 01i PERIODICALt Radiotekhnika i elektronika, 196o, Vol 5, Nr 49 pp 684-688 (USSR) ABSTRACTs Approximate expressions are obtained for calculating the eleetvomagnetic field components of a vertical dipole located at an arbitrary point in space and a vertical antenna with radiation directed along the surface of the earth. The results of numerical calculations at a frequency of I Mcs:for earth parameters c = 9, a = 5 X 1o-3 mho/m are presented graphically. There are 4 figures and 4 references, I of which is Soviet, 2 English and I English in Russian translation. ASSOCIATIONtFImicheakiy fakulltet Leningradakogo gosudaretvennogo universitets im. A.A.Zhdanova (Physics Department, Leningrad State University imen! A.A.Zhdanoyl Vr SUBMITTED: May 18, 1959 Card 1/1 KRTWV, G.N.;,HAXMV, G.I. Struature of the electromagnetic field of a vertical electric dipole and a vertical antenna In space over flat earth. Test. IGU 15 no.16: 42-" 160, (MIRA 13:8) (Xectromagmetic waves) (Antennas (Xectronice)) 04 1';k41 'q 7~7j~,,,,T ropagl. r f ,,-PIRIODIC ~15 ~M Y-J 4 v an sLrdd..,T958o,.*,6 or 28 f.vlav .;.,PropagAtio -"0 '-O_n iLs4t4ti6riary:; radio';':, A- e. attention-lell,b6i Dlyit.', v 1k9 e gt*em '6: over,. a,, p anp g 7, a --Onto , p W,-,s i-]~dkbge e. f i --~~hi,~..dliplapemp u At k1i rong,,,.Ibw:4 rf 4valid -oii*'.: 6i--,,-4 , 9-1.0 f 'a ',pro Inro g e -.,o.ver e ;i a b. -Sl)pen:,. .37!4~ .7~ Z 3TJ "3: '-f!', ii;,Z .1. a i:W. t6l.'4hibW -Lnore y:. of, --propag4:4" t1w, tozi q,~;.par. --m r ace ne-,,.- t~" T iald our e A %vomponents'' of~-. .:Xnel-. uency -,Vdry-,.,go.o ,'or~ me um.-, d d 6-f 006, 0 2 wv L igizi~ -lid-tii6x* -the! a,-. non, stitibn I -A- . -0- ric"' d -F -ai owa -Fv 4 r ..gatIoMbf k vqi.~ -.1. -1 - 4 - '40 lime, dw-, -,,.t qgehecu reqir.,~ %t 'nip aceme dl iii;~i iDiw h you LC "Th' -4rg=en e m, t -A, -;~pb*homena. iati 6ii S. t i bjkj--~,~O rit 'dip A, -ver, id ~ .? , - at--,. a, tp 'Momlopneous -var"t t vity" cr an Ak #eu,,7. .04vac ance.-, 4 X- ti i- awle,e dimdo as .9 ti -f; T SVC, !P,( n-4 'MIN. iklb Q 'Opt,;, T-4 j,- Ar 5 09/61/oo6/ob5/005/027 /1 Propagation of pulse -D201/D303 dh.--'height of dipole: s1r..= -ikr/2 -numer'ical distance), . he're 6 CUF lativ"e.complex- ecific*inductive capacitan- p M M -0 ' celdf the,.earth; 'yi(x) i s giVen-by Odi 1+ 2 xe-0 e (2) Sommerfeld the whichAs- f~ *in:- 1 the e -pre s attenuatimfufiction'..';J x .. s.Lon.under the sign of . I represente.the curreht spectrum in the di- pole cc (f) OWN,' "he'ent -it.-would theri re 'the spectrum of the'VeKtioal,:-component of etr'ic fi Ahe ele dv and e its integral with res pectL.,to the frequency l . . dive 9'.the' solutibnI or the non-;-stationar*y pro blem;for this oompo- ar 0 d 3/1 2.~ 8 09/61-006/605/005 /027., Tropagation:of pulse.~.: I /D303: D 0 nent~ 1jj ,:Vt f a- - -,.7 requency characteristics' -fn-ction'_'-.of.-attenu -In, analyzing.' ,.:as:.., a.,,.,u Laded b'- -dimensionless ps,3~pine.t 'h er,-- c6ouw ere Q? (4) rot "can Istance, be' represent r splaoiement;; ourren. s ar' taken into AcooUntj-- .,as definidd% d i e 1.5 ndf4ir6 -wd for r6il- e0ils,'at a'! than unity; Calcu'l ati ons, hivie"'J bin", at:,,'~for'~.ca-" currents-reduciA e, b id,; of lq~ladement h a) ~;4 A S/109/61/006/005/005/027 Propagation,of pulse D201/D303 From the evaluation of integral of 3 propagation track (3) a comparatively si4dpje expression ipl A UV (U) c7u--2'* 0% M a;" t (W) T da, (12) J" 7 h.of Afoh-la.,shown in Fig. 2 can be obtainedv :the integration'pat -A Pig. 2. The plane of complex variable (u). Fig. 2. S/109/61/006/005/005/027 :Propagation of plee D201/-P303 and in which u is given by MCO (7) anA T and %Xu) by T 'O(U) ?JOT 7S V (9) If the dipole is excited by a emit step pulse with either sine or cosine oarrierp the stationary part of the field can be derived as 2W W (Vi-rer) (13) and its non-stationary part describing transient p7ocessesq as E2 W) tt(U ~O (14) e Umvtl~ 2n Vi6p (u) - a(4 Card 6/12 3/109Z61/006/005/005/027 Propagation of pulse D201/D303 Introducing into (12) and (14) change of variable P ?u/2, Ldk 414 E, 01) (e) ~= u'(p) eip 2 (p)] dp. (15) and up 2 /(P)l dp, (16) r iare obtained, whe34e . U (P) -!P (VI --e - ip); f(p) + iTU (P); +4) BY applying the mithod of stationary phase Eqa. (15) and.(16) be- come JEI) (T) U (T) ;F (T) exp IF 4- fr + -C Card 7/1~ S/109/61-/006/005/005/027 Propagation of pulse D201/D303 ES-01 -. .t7 F(T) exp -L It'r + PU (r) + soon SUA and I + * (c4, t,,v) 2zW-s-0 4w elldj~'l (19) where- + F 2 1+ (I + 2T) (1-+ YF+-2T)U 2 VI -+2T (20) It + 2ir + V1 -+2T). (10 T T T Y'. -+-,c 2 + Z02 S$r + jW01 T/ W. the condition of applicability of (18) and (19) being 2 1. ('21 Card 8/12 S/109/61/006/005/005/027 Propagation of pulse ... D201/D303 if in (18) and (19) convection 'currents are neglectedt the two equations are identical to those obtained by J.R. Wait (Ref. 1: O-P. cit'.). In order to analyze the radiation field given by Eq. (18) produced by the dipole excited by a unit step function, this equa- tion is rewritten as dh AIa A(~v T)i 2 7 A(Tp T) F(? T) tZ + ~u(yT)j exp T) T _/, where functions 2 P(YT) and u(YT) qLre determined by formulae (20)' and T are given by Zqs. (5) and -(9) and 2 X (X) = + X + V1 + 2x 3;' 1f,the dipole is~excited with a HF sinusoidal or cosinusoidal step';-.: -Card. 9/12 St'109/61/006/005/005/027 Propagation of puise D201/D303 input pulse, by beans of bpply'ing dimensionless variables of -r, - (#9t', x - (8" + P lw#ladh ---,5-fW()f8Or) IV (P,.X,'[,), vf~' X, -c3) + w (p, X, (22) is obtained. In it w (-\/a7) is the.sommerfeld attenuation functi- ono c its argument; and fcom w X. irl) exp (X). + U (z) + f (Y;.,) I 4P 2p TP .2& (23) + IF W + V (P. x TO 24'-. 0 1 e0dz]j; P + V (P. X, TO Card 10/12 Prop6gation of pulse ... S/10 61/ 1006/005/005/027 D201YD303 2 :1 scr + iT, - % (x) K(z) - (23) )(F+-2. (I + V-1 + 2.) is valid for the non-stationary part of the field for the conditi-on 49 of the function W (Eq. 23) describes the non-stationary cart of the radiation field, the real part of the function V (Eq. 22 - the total field when the dipole is excited by a current of-the shape of (t) 7 1. sin (o,,t - I ~t). (24) Functions ImW and ImV.describe the non-stationary part and the comi~'I plete field respectiVe-ly when the current in the dipole has the shape given by Card 11/12 It F., N, 3/10 61/006/005/005/027 Propagation of puLpe D201X303 Graphs show that 'displacement currents introduce an attenuation of' the amplitude of the non-stationary part of the field and that the amplitude.of-transients depends on the current spectrum in the di- pole.- From graph of ReV it is seen that transients may introduce considerable distortion in the propagated signal. It is stated in conclusion that the problem,of propagation of pulse signals ovet the surface of the barth is also of practical interest, In that it gives the picture of signal distortion and that the results obtain- ed could be used to solve the problem of the inverse diffraction problem and that from measurements of the delay time of the maximum of the signal, having other data availablep one could determine the conductivity of the propagation path. There are 6 figures and 5 references: 2 Soviiet-~bloc, and 3 non-Soviet-bloc. The references to the-English-language publications read as follows: J.R. Wait, Canad.*'J. Phys. 1956, 34, 27; J.R. Johler, J. Res. Nat. Bur. Stan- dards. 1958, 60,)28) ASSOCIATION: Leningradskiy gosudaretvennyy universitet im A.A. Zhda- nova, Kafedra Radiofiziki (Leningrad State University im !.A. Zhdanovq Department of Radiophysics) SUBMITTED: March 24, 1961 Card 12/12 KOZINAV G.I. Transien-ts in acoustic fields generated by a piston membrane of arbitrary shape vith arbitrary surface *ibrations. Akust. zhur. no.1:53-58 161. (MIPA 14:4) 1. Leningradskly gosudarstvennyy universitst. (Sound) 9.;Ls-?t) 27589 8/108/61/016/010/002/006 D209/D306 AUTHORS: Yelizarov, B.V., and Makarov, G.J. TITLE: Transients in delay lines with a great many sections PERIODICAL: Radiotekhnika, v. 16, no. 10, 1961, 10 - 19 TEXT: This article was read in May 1960 at the Radio-Day All-Union meeting of the Scientific and Technical Society of Radio Engineer- ing and Electrical Communication im. A.S. Popov. The present ar- ticle is a continuation of the work of the authors (Ref.l: B-V. Yelizarov, G.N. Krylovo G.I. biakarov, Radiotekhnika, vol. 14, no. 2, 1959; Ref. 2: V.B. Yelizarov G.N. Krylov, G.I. Makarov, Radio- tekhnika, vol. 149 no. 10, 1959~ on the use of asymptotic methods for determining the transients in delay lines. The circuit conside- red in this article consists of n symmetrical identical M-type sec- tions Fig. 2 of a low-pass filter connected in series, loaded by zL and excited from a voltage generator with internal resistance zg. The properties of such a circuit are studied by deriving its Card 1/9 27589 3/108/61/016/010/002/006 Transients in delay lines ... D209/D306 transfer coefficients K(X) Z., L 2Z&Z, e--nir K W Z2 , + Zb,2~ 1 (ze + ZL) VC + V (I - q) (ZW+- Zi chng+ Sh ng Ze (Zp + 74 . (2) q =. (Z' - Z4) VC - e-2nj (Z' + where Z z L' Z , g are functions of dimensionless complex fre- c g quency x p/w - and w the cut-off filter frequency, g - being O 0 the propagation constant. The stationary characteristio is found considering T - sections only and Z = R and Z L = R L' so that g 9 RE r. = zC (0) rL= zC (0) (4) Card 2/9 ~2 58 8j 3/10 61~016/010/002/006 Transients in delay lines ... D209 D306 can be introduced. X(x) can then be represented as '(' ; f, (x) - ch nk!~ + I + X, Sh ng. (18) K(x) = /0 W and the output voltage by 1 (19) U (C) K (x) U,, (x) e" dx, -c = coo t, S cc where Vin(x) - the generalized spectrum of input voltage. The de termination of the root sign in K(x) is arbitrary since after the transformation of ny perbolic functions fz(x) is represented by a polynomial of the order 2n + 1. It can also be shown that f2(x) has simple roots - and if t Mx hence x ti (20) 1 = \0h+(, _ m2) X2' VM 2 _(1 - M2 ) t2 Card 3/9 1 Transients in delay lines ... where m -+-,t. Also t1 = sh g/2 (21) so that YI + thng - - rr .,+ I + 9 Ar th Y Ln (22) n zq+ I+ x% 2n I+x2+ and finally from (22), (21) and (20) Card 4/9 s = 0,1 ... n. 27589 S/108/61/016/010/002/006 D209/D306 1%23) 27589 B/108/61/016/010/002/Oo6 Transients in delay lines D209/D306 ieL,obtained. Taking the real and imaginary parts of Eq. (23), ex- pressions of the type of a = f 3(at 0); f4(at (24) are obtained, from which a and P can be consecutively obtained. Functions f and f are very complicatedo Their iterative expres- 3 .4 s~ons converge very quickly, however, , and are non critical with r;spect to the initial approximation~pe;g* the evaluation of roots for n = 50 using the fast com uter C B A (STRELA) takes only 3 mi- nutes. Knowing the poles of KM and of Uin(X)l Uout(T) can be re- presented as V UZ64OWNS U:: (x,) e", U. U.. (.0 +U 4. 2Re (25) Jtl (X.) E 1; (X.) j-n or U. (T) = U W Y, M. e-Y cos ~;c + (26) iZF 172 '.0 Card 5/9 27589 3/108/61/016/UlO/002/006 Transients in delay lines ... D209/D306 Ust(T) is the steady state solution for poles of U 41A (x) and all other terms tend to zero for T ---# oD and determine the transients. For convenience the constant factor U0 can be extracted and then Uout(T) = U osul(T) with lim Ul(T) = 1 (27) T -11 OD and only the graph of Ul(T) can be plotted. All calculations were made by the authors after programming the "Strela" computer and much numerical material has been compiled which because of the li- mitei space could not be reproduced in the article.. Only U,(T) for n = 5 is given in all figures and graphs. For larger n the reason- ing remains the same but the transients become much lengthier. The graph of Ul(T) is given for various i, if rg = rL = 1 with unit im- pulse function at the input. The values of a at 08, M. and cf. for Card 6/9 27589 S/108/61/U16/010/002/006 Transients in delay lines D209/D3U6 2 = 0 are given in-tabulated form. As may be seen the change in mu- tual inductance strongly influences the delay and the shape of the signal. If at the same time ;,c ~- 0 , the delay only varies v for ~c ~~ 0 both the delay and the signal shape are changed. From the point of view of overshoots there exists a certain optimum value of ~t. This value is R opt 0.25. Fig. 6 shows U (T) with input signal 0 'C 0 W# for r. = r L 1; f2c = WC/Wo 0.5 (we 2 ) for various x, and _(2c 771L71=3 0. 2. Curve 1 - fie = 0. 2, 0; curve 2 - '_)c = 0 - 5, -t = 0 - 3; curve 3 -~Ic =0.5, e = 0; curve 4 -~'Ic = 0.5; ,=-0.3. Withafurther in-rease in frequency the length of transients rapidly increases an~ the effect of parameters begins to be felt. The characteristic shape of output signal for frequencies near the cut-off is shown. The envelope of the signal, while oscillating slowly tends to its Card 7/9 Transients in delay lines ... 27589 S/108/61/016/010/002/006 D209/D306 steady state value and time taken depends on all parameters but mainly forriC --*l. The derived exact expression (26) allow not on- ly certain physical phenomena to be demonstrated but are also use- ful as a means of checking the accuracy of approximate expressions derived earlier by the authors (Refs: 1, 2; Op-cit.). The main term of 2n dt - It (29) 2 describes the process more accurately than the expression obtained earlier (Refa lp 2z Op.cit.) and is handier in calculations. The case of a unit impulse input is then considered. There are 8 figu- res, 3 tables and 4 Soviet-bloc references [Abstractor's note: Ref. 4, although in Russian, is a translation from an English-lan- guage publication]. SUBMITTED: February 11, 1960 (initially) December 19, 1960 (after revision) Card 8/9 Transients in delay lines ... Fig. 2s NO Pmc. 2 Fig. 6. 2", 589 5/108/61/016/010/002/006 D209/D306 Card 9/9 6_ S/108/61/016/011/005./007 9, 3.2 D201/D304 AUTHORS: Gyunninenp E.M.p Zanadvorov, P.N., Kotik, I.P., and Makarovp G.I. TITLE: The effect of a complex shape periodic signal on a free-running oscillator YLTIODICAL: Radiotekhnikag v. 16# no. llp 1961, 59 - 44 TEXT: The pure theory of phasing of oscillators presents difficul- ties which make the solutions of its problem practically impossible. In the present articles the author considers the solution of this problem in its numerical contextp by means of a fast electronic computer. Such a problemp as opposed to the purely analytical onep is stated to be comparatively eaByp but the quasilinear method of analysis is applied for simplification and numerical substitution of the equation of the osciilator, upon which acts the external for- ce A(T). If x is the voltage at the gridp reduced to the amplitude ItMof the steady state oscillations at the grid, w 0 and 6 the fre- quency and attenuation of the oscillnting circuit, T W0t dimen- Card 1/*__~ 29589 29589 S110 61/016/011/U05/007 The effect of complex shape '.. D201YD304 sionless time; -Sg - average reduced slope of the valve. and constants, then the fundamental equation may be represeRted as 2 A X + X M%S'Ll are tg P xmj~ 41 + yA(T). (3) 0 YC dr dT Practical values are now assigned to the parameters of (5) thus: -2 -3 0.8; MW0so = 1.12; 0.422; 10 and 10 0 ~ = 0.1 and 0.01 are.the values resulting from practical assessment of the val- ve parameters and regime* The acting force has bee-n taken as having the form of consecutive "distorted sinueoidal pu4es" A~T) with li- near variation of amplitude and initial phase. This A(T had the form of 0,08(r+3)-sin[,r(0,8+0,02-c)j, 0 0; U1(t) ' 0' t" illustrated in Fi?,- 5. 1-1L the membrane is excited accordinr to 'j,' t) s inWt , 1; 0, U (5) two waves occur with a )hast,, differe:k-, 2 2(t) ' 0' t