SCIENTIFIC ABSTRACT SHKIL, N.I. - SHKINEV, A.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001549620013-0
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: August 23, 2000
• Sequence Number: 13
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

SOV/21-58-2-21/28
On the Asymptotic Representation of Solutions of a System of Ordinary
Linear Differential Equations
treats the problem for a non-homogeneous system for the case
when there are multiple roots among the roots of the charac-
teristic equation, namely whenjk. is a second multiple
and purely imaginary root, i.eo:
J_ ( T) = A ~. (, 70 Z I.' Qc ( Z
Two particular cases are analyzed: first, the "resonance"
case, when the function LK ( 'I) may equal this root at a
certain value of the parameter Z' from the interval (0,L);
and second, the "non-resonance" cade, when the function
Card 2/3 ~ K ( I ) -p-Ay "r) (V =1-3) at any value of from the interval

SOV/21-58~2-2/28
On the Asymptotic Representation of Solutions of a System of Ordinary
Linear Differential Equations
(0,L). There are 3 Soviet references.
ASSOCIATION: Kiyevskiy pedagogicheakiy institut (Kiyev Pedagogical In-
sti tute
PRESENTED: By Member of the AS UkrSSR, I.Z. Shtokalo
SUBMITTED: April 16, 1957
NOTE; Russian title and Russian names of individuals and insti-
tutions appearing in this article have been used ir the
transliteration.
Card 3/3

FESHCHENKO, S.F. (Kiyev); SBKILI, N.I. [Shkill, M.I.] (Kiyev)
Determining stresses in an elastic viscous string of variable
length. Prykl.mekh. 4 no.3:269-276 '58. (MIRA 13:8)
1. Kiyevskiy pedagogicheskiy institut.
(Slastic rods and wires)

21
M _JR -eshchenko. '~71ikil'~ N~I, -5,9-5-3/2,9
TITLE: on the Asymptotic evolution of a Special System of Ordinary
Linear Differential Equations (Ob asimptoticheskom reshenii
spetsial:noy sistemy obyknovennykh lineynykh differentsial'-
nykh iaravneniy)
PERIODICAL: Dopovidi Akademil nauk Ukrains7koi RSR, 1958, Nr 59 PP 482-
485 (USSR)
ABSTRACT: The authors consider a system of ordinary linear differential
equations w~iich can be written in the vector-matrix form as
follows:
L "X
where A (t is a square matrix of n-order; X and B (t') are
n-dimensional vectors, and El is a square matrix of the n-
order of the form;
E 1 = f 1 , !.~ E , 1...... El
Introducing a new indeDendent variable, -,he
authors prove two theorems with the aid of which the asympto-
.L
Card 1/3 tic solution of the system of differential equations under

21-58-5-3/28
On the Asymntc,71C ~-0-1 o-f a -,rec--.a- -,.-szem of cr,-;inary 7-near :~ffere-
tial Eauations
consideration can. be found, Two Darticular cases are analyzed:
.11 e with cer
Li the "rescnanc~" cas tain values of 'r from the
se-ment 0 L, when the function i d6 =L'k(T) may be-
0 If t
come eaual to one or- the roc-ts of the characteristic eauation
of matrix Ac"':' e:g~ , to the rect A3 ( Z ) which is assumed
to be a ~:ec)nd mulTiple purely imaginary root; and 2) tn.
11-ion-rescnarcd" case. when
K(-C) -L'A, (Z) (j = 1,2,-,n)
T- j I
in the segment 0 L where .-,I, (C ) are roots of the same
characslerisz-ic equation.
There gre 5 Soviet references.
ASSOCIATION.- institus matematiki AN UkrSSR (Institute of Yazhematics of
AS UkrSSR)
PRESENTED: By Member of the AS UkrSSR, I.Z~ Shtokalo
SUBMITTED: October 23. 1957
Card 2/3

21-58-5-3/28
On the Asymptotic Solution of a Special System of Ordinary Linear Differen-
tial Equations
NOTE: Russian title and Russian names of individuals and institu-
tions appearing in this article have been used in the trans-
literation.
1, Linear equations--Theory
Card 3/3

FESHCHRIKO, S.F., (Kiyev); SHKILI, Nj. (Kiyev)
k-
Asynptotic solution of a system of linear differential
small parameters in the derivatives. Ukr- mat. zhur.
160.
(Differential equations, Linear)
equations with
12 no.4:420-438
(MIRA 14:3)

88305
S/041J60/012/004/006/011
/4~3YOO C111/C222
AUTHORS: Feshchenko, S.F., and Shkill, N.I.
TITLEt Asymptotic Solutions of a System of Linear Differential Equations
With a Small Parameter for the Derivatives
PERIODICAL: Ukrainskiy matematicheskiy zhurnal, 1960, Vol. 24, No- 4,
pp. 429 - 438
TEXT: The authors consider the equation
(4) ~Lx = [Ao( -V) + CA, ( 'U )] x + 6B( -6 )e ig (r)
dt
where F-t B(t) is an n-dimensional vector and
0, 0, 0 a 11001 .... a ln(s)
01 0, .... 0 a a
21(c)' 2n(r)
(5) A o(T-) a3'1(-C) a32('V)l ....a 31(r) A,(V) 0, 0
- * , , * *
a 0 0
1a-n1 n2oo'- -9ann
Card 116

88305
S/041/60/012/004/006/011
C111/C222
Asymptotic Solutions of a System of Linear Differential Equations With a
Small Parameter for the Derivatives
It is assumed that the aij (IV) the components of B(T), and the function
(6) k (VU) -- Aic~l
dt
have derivatives of all orders with respect to t, on O.:~ -C_e-L A solution
of (4) is sought which satisfies
(7) (X)t=o = X0
if iM I i = n are the roots of
(8) detl A0 Oc) - ~ E 0
then
6) = 0
(9) 2('
Let the other roots be simple on FO,Lj where
(10) 3M = i,-~, (,C)
Card 2/ 6

88305
S/041/60/012/004/006/'Oll
C111/C222
Asymptotic Solutions of a System of Linear Differential Equations With a
Small Parameter for the Derivatives
Then there exists a non-singular matrix V(T-) so that
(11) V_1 AON V(V) = W (r)
where 171(t) 0
(12) W(V) 0, W (r)11
and
(13) W1 0, W2(Z)
~10' 0~1 . . . . . . . . . ..
10 0 nk
In the present paper the solution is constructed in the case of resonance,
i.e. if k(T) in isolated points equals oc(T-) but for no V E FO,Lj
Card 3/6

. I A .~
88305
V60101210041006101
C111/C222
Asymptotic Solutions of a System of Linear Differential Equations With a
Small Parameter for the Derivatives
equals the other roots of (8).
Theorem 1 asserts that if the above conditions are satisfied and the matrix
-1 (-C)V(,r) dV(V) .2 -
V (T) IA1 d r I Ls so that for all (;' GI0,L1 it holds
A 1(r)V(T) dV(Z) j 0
(14) V- (r)I dr I ~ 21
then the formal solution of (4) in the case of resonance admits the
representation
(15) x = U + P (r,
1 -51 + I U2(C'I-) 5 2
where the 2-dimensional vector 51 and the (n-2)-dimensional vector 2
are detertined by d51 cc
dt 1
S/04
I
(16) 2 ik(-L )E] -C-
dt 2 + Z
Card 4/6

88305
S/04 60/012/004/006/011
C1 1 1YC222
Asymptotic Solutions of a System of Linear Differential Equations With a
Small Parameter for the Derivatives
while U1 and U2 are rectangular matrices, is a matrix of second
order, OC2(-C', a) is a quadratic matrix of the order (n-2); P and Z are
vectors with n and (n-2) components, respectively. The determination of all
these coefficients of (16) is carried out with the aid of the formal
series arrangement
OD a)
s (r
U Z /I,- U(s) '~;7 s ct(s) j=lp2,
(17) S=O S=O
co (s) OD 3 (s)
P (-C' '7 /- P 00 1 ZOCI .7- z
s=2 s=2
In order to show that the solution x constructed in this way is
asymptotical, the authors introduce the v66tor j:* irhich oi~iginates from t~A
m
vecior x by restriction to m-th partial sums in the sums of (1V .
I
Theorem 2 asserts t If beside of the conditions of theorem 1 t ere still
Card 5/ 6

# t"\ ..
S ~0/012/004/006/011
1 M190!
1 C222
C
Asymptotic Solutions of a System of Linear Differential Equations With a
Small Parameter for the Derivatives
holds Re V- 1 (Z) I A (T ) V (T 0
L d ~21
(49) 1 V- 1M [A (-L) VM ii(Lll
L ciz - ~ 21
where Re is the real part and I is the imaginary part, then for arbitrary
L > 0 and 0 < /~o it holds
(54) x - xm I ,, .,,m- 5C
where C is a constant not depending on
There are 5 Soviet references.
SUBMITTED: May 21, 1960
Card 6/6

SHKILI, M,[Shki,11, M.I.1
Asymptotic representation 'of aolutions of a system of ordinary linear
differential equations. Part 2. Dop.A-N URSR no.21W-145 161.
(M-IP-A 14:2)
1. Kiyevskiy pedagogicheskly institut. Predstavleno akademikom,.AN
USSR I.Z.Shtokalo. --
(Differential equations, Linear)

25006 S/044/61/000/003/007/014
C111/C333
ArT-H'OR Shki
TITLE: On the asymptotic- representation of the solutions of
systems of linear differential equations, the coefficients
of wh-.ch depend on one parameter
PERIODICAL: Referati-vnyy zhurnal, Matematika '. 110, 3, 1961, 36, ab-
stra3t 3B158, (Nauk, zap.. Kyivslk derzh, ped. in-t 1958,
30, 53-69)
TEXT-. The au*hnr considers the system
dX N dclj
x B e ! ,
where n. B. h-dimensional vectors, A -- quadratic matrix. Assume
'hat amonC the characteristic roots of the matrix A(V,O) there is
a double root N , (lr:) ~ 1-1, (-!.) = i:-~- 0, while the other roots
2 .
(ex-,--eut the two conjugate N, and .1\2) possess negative real Darts.
Card 1/2

S/044 61/000/003/007/014
On the asymptotic representation C111/C333
I e jo Invesligated, whe
The ca~;e ot re-qonan~~ re ik is allowed,
and 'he case free of resonance, where this is prohibited. In both
cases ~he aul.hor coni~tru,-.ts agymptctic expansions for the solutions
some estima*1cn!3 are obta-ined,,
~Abatracter's note: Comu1ete translation,-
Card 2/2

SHKILIJ N.I. (Kiyov)
Asymptotic behavior of linear systems in the case of multiple
roots of a characteristic equation. Ukr. mat. zhur. 14
no.4;383-392 162. (MIRA 15:12)
(Differential equations)

S~ i
HKILI, N.11. M.~ :
Asympt~Dtic 1--ehavior of lin.-,:LL, L~Jst,~m_- ~_n the case when the char-
acteristic equation has miultiple r~2ct,_. " ~ . ~N URSIR no.9.,1138-
1141 1 '02. (MIRA 18-.,4)
1. Kiyevskii pedagogicheskiy institut.

SHKILI, 111f.I. [Shkil', MI.I.-I
Asymptotic solut-ion of' a system ol* linear ,11"LIfTerent-Jal equatLons
with a small parp-meter. Dop. AN nc.5.-572-575 I --I
(KIRA 17.9.)
1. Kiyevskiy pedagogicheskiy in:zl.itlut. Prelstavleno akademikom,
.PdI,,Vk-rS3R Yu.A.Mitropollskim [Mytrnpollslkyi, ItI.O.i.

L 1266~-63 EW (d) /FCC (w) /BDS AFrTC IJP(C)
ACCEssION IM: AP30028M _6/0d20/63/10/065/;005/1bd8
AMOR: Shkill, H,
TITLE: Asymptotic solutions of a system of linear differential equations with e.
parameter
no
SOMCE: AN SSSR. Doklady*, V. 150,- - 5, 1963, 1005-1008
TOPIC TAGS: asymptotic solution, linear, differential equation, determinant
equation
ABSTRACT: Asymptotic soluticrils of equation (1) of the Enclosure are determined- by,
the behavior of roots of the determinant equation (2) of the Enclosure. The wrk
considers those cases where several multiple elementary divisors correspond to each~;'
multiple root. Orig. art- has: 30 fon-m-las.
ASSOCIATION: KlYevskiy gosudarstvenrv*y pedagogicheskly institut im. A. M. Gortkogo
(Klev State Pedagogical Institute)
SUB'L6[=: 03Jan63 DA!rE-Acq: i5jul63 ENCL: 01
SUB CODE: 00 NO REF SOV: .007 bDMR-. 000
Card 1/Pi

ACCESSION NRi AP4033972
S/0140/64/000/002/0176/0185~
~AUTHQRa Shkillp No 10 (Kiev)
j.V1T1Xs Asymptotic solution of a system of linear differential equations in the
:case of a characteristic equation with multiple roots
SOURCE: IVUZ. Matematika, no. 2, 1964, 176-185
-TOPIC TAGS: asymptotio solution, multiple root, characteristic equation, linear
;differential equation, small parameter, exterior frequency.
'ABSTRACT: The author studies the system of differential equations
A (-r, a) x + a B (r, Olt
_dt-
:Here x, B(7-, ~_) are n-dimensional vectors, A(T, is a real square matrix of nth
;order. He asnumes that A(7, E-) and the vector B(1, F-) allow the representation
A 'A(') (r), B (t, e B(-') (c)
8-0
[Cord

ACCESSIOlf NRz AP4033972
He considers the characteristic equation of the matrix AM r):
Apt I! AM (c) -A El - 0,
'Aere E is the identity matrix. Its roots are denoted by A jr). Let
'A 2k l-) =lt'P"0"7
(-r): on(IO L3, have constant miltiplioity ki, the root
.k~.... A multiplicity k (k1+ k2 + ... + k - ix). Ass---a that the
p p p
Y _,bave the same multiplioi th ir corresponding roots
:ele enjary divisors
...... 2~ k .1. Then for the matrix AVe 7*) Gono'can oonstruct a nonsiAgglar':
.Matrix T( -r) .9 that
0
IVk, 0 ...
A T 0 wUS 0
(4)
0 0 w 6
Card-

~ACCESSION NRs AP4033972
'Where .-f-
1 0 0
0 0 P.
W", (t)
0 0
The author considers the "resonafioell case, where the function
at isolated points of -booomes equal to one of
dt
!the 'roo-ts-~f` (3Y, for example the root howeverl
v (c) ~A. 2, ....p.
Tor any V ~ E0,Q- For"this O"e, 'he proves -the theorms If A(r, B(.r, e,),
have derivatives in T Of all orders, and the k, .+kj aoupments of the
;veotor
(.t) lip) (,C) _dull", j-:ka.-
11 11P
-dr (7)
LCIrd

ACCESSION NRs AP4033972
I(U (0) (T,) is the eigenvector of the matrix A(O) (T) corresponding to the root,
i A j(-r) do not become zero on [OpL]p than the Eisymptotic solution of (1) can 'be
'represented in -the form
Jul (T, h, + P ell+
j Uk (T., Pk) At (8)
where
dh,
+ Z
(9)
dt
Pk)ltk, k-2....,P. (10)
Here the vectors u (T, P(Tt Uj) and the scalar f=ctions x(,r,,Ol)
(j 1,2,3,---,P) all;w .9Q' representation
01)
Xj PI) - Xj &V4
i Card 4/5

ACCESSION NRs AP4033972
-77
t"PI'l(c), ply
8-0
where.
iOrig. art. hans 88 fo=ul&a.
,ASSOCIATION: none
SUBMITTED: loApr62 DATE ACQt 07May64 ENCLt 00
;SUB CODE: MA NO REF SOV: 005 OTHMs 000
iCard 5/5

ACt-25SION NR-. AP4o15118
S/0041/64/016/001/0132/0135
AUTHORS: Feshchenko, S. F. (Kiyev); SWCil", N'-I" (Kiyev)
TITLE: Error asti-matJon for asymptotic representation of solutions of linear
differential iquation systems contairiing a parameter
SOUPCE: Ukr. matem. zhurnal, v. 16i no. 1, 19643 2,32-135
TOPIC TAGS: error estimation, asymptotic represent4tion, linear differential
equation, ordinary differential.equation
ABSTRACT: The following system of linear differential equation is consideredt
dx io
wheVe x and B are n-dimensional vectors, A(-C, E is ii real square matrix of order
n,
CD
A (v, e) B
Card 1/2

ACCESSION NR: AP4a5w
A"(r) -h 0, 0 < T'. d -< L,,-
and Z is a small positive parameter, An algorithm for the conlatruction of
approximate solutions was given by H. L Shkill (UMZh t, XIV,, No. 4. 1962), The
asyTT~~)totic character of these approximate. solutions is given in this paper. Orig,
art. has: 23 equations.
AFA9XIVLION: , none
SUBMITTO: 26Dec62 DATE ACQs ldqar64. EIML: 00
SUB CODE: 1-14 NO REF SOV: 002 OTHERt 000
Card 2/2

olution of a syster. of I-Lnear di-f-eren-lial equa~-ions
i. r
le case of ,;-ult-;ple roots, of a rharactl~;; equatiGn. Dc
AIT UF6R no.6:699-703 165. (MIPuk .18:7)
1 . Klyevskiy peedagogicheSkiy Ins Tut.

L 50340_65 EWT(d)' Pg_4 ijp(c)
ACC88MION NR: AP5008349 8/0021/65/000/003/0277/6M
AUTHOR.- Shkill M.I. (Sbkjll,.N.I.),
TITLE: Improvement of the algorithm for construction of an -asymptotic solution of a
system of linear differ!~n~aLMStio.ns ontaining a parameter
SOURCE: AN UkrRSR. Dopovidi, no. 3, 1965, 2277--281
TOPIC TAGS: linear differential equation, asymptotic solution, solution algorithm,
matrix, Jordaneau cell,
i ABSTRACT: This article Is a continuation of the author's previous work (Doklady AN...
URSR, 1138, 1962) -on asymptotic solutions of linear differential equations, only now slim
improved method Is given for evaluation of some of the required coefficients. The
equation to be solved is dx/dt
dx
A x + eB (T, 8) oil (1, 8),
where x and B, (4' , Care n-dimensional vectors, Ad C) is a real square matrix of.
the nth order and
cc
A (2)
0
Card 1/3

11

1, 'D03h3-60' 'd
:ACCESSION NR: AP5019612 UR/0376/65/001/007/0868/08,79
AUTHOR: Shkil' N 1.
Systems of linear differential
_Eq2atlons with a small parameter applied to
,part of the derivatives
:SOURCE: Differentsiallnyye uravnenlya, v. 1, no. 7, 1965, 868-879
;TOPIC TAGS: ordinary differential equation, asymptotic solution
~IABSTRACT: An algorithm for constructing an asymptotic solution of a nondegenerate
isystem of linear differential equations is offered for the case when a small para-
,meter is a coefficient for n-k (2&k &n)derivatives, and the roots of the charac-
p P
iteristic equation and the elementary divisors corresponding to these roots have an
arbitrary identical multiplicity. The system Of equations is
dy
E, A (.r) y + E,b (x) WD
dx
~where AW is a real-valued square ma-irlx- of- or'-d-e-r- n*-,*y and b(x) are n-dimensional
vectors, and Et is a diagonal matrix of form
11P
i E,
!Card 1/2

L 0032-0-66
,ACCESSION NR: APS019612
Mere e is a small real-number parameter. With a suitable transformation, (1.1) can,!
!be written in the form dy
+ E A I y + eb (,t)
dt
iThe asymptotic solution is then developed on the basis of the behavior of the
iroots of the characteristic equation
detjjA,(,r)-Xgj =0
For this equation, two cases are treatedi the "r6sonant" and the "non-resonant"
79 formulas.
icase. Orig. art. has:
ASSOCIATION: Kievskiy gosudarstvenn3ry pedagogicheskiy institut im. A. M. Gor'kogo
(Kiev State Pedagogical insti+ute)
SUB14ITTED: l8Dec64 ENCb: 00 SUB CODE: MA
NO REF SOV: 015
Card 2/2
OTHER: 000

1-P0543-66 EIVT(d) IjP(c)
ACCESSION NR: AP5ol&76 UW002i/65/OO0/OO6/O699/OTQ3
AUTHOR: Shkill, M. I. S J, N. I.)
~TITLE: On the asymptot a solution of a system of linear differential equ iong
,the case of multiple roots of the characteristic equation
SOURCE: PIT UkrRSR. Dopovidi, no. 6, 1965, 699-7o3
TOPIC TAGS.- differential equation system, linear equation, asymptotic solution
.ABSTRACT: A system of linear differential equations In n-dimensional space
:is considered, and the form of the asymptotic solution is considered for the case
,;of multiple roots of the characteristic equation; in particular, the "resonance
acase is considered when the external frequency becomes equal at various points of
,the segment (01 L) to one of the identical multiple natural frequencies of the sys-!
,tem of equations. Solution is obtained in terms of formal series in powers of the
:parameter kt -1
^7~ ---84
where k > 2 (k is the multiplicity of the natural frequency X~0), P)
.in the rm:
jo
Lcardl/3

p
A11501&76 t%4) hA,
SION NR. ')J.Pyq~) + u
ACCES h
x tit I
z
(C' Ilk) I
ana p
vee"OTSY NJO)
C mTe n- dill Xpanded'
it jqhere tIj and ? I be orma,13,y e
IgetionS vIlic" can
scalar
U, (,V,
es
Q*
two
y
co,d2/3~

L 00543-66
ACCESSION NE:
AF50"76
This report was presented Yu. 0. My-tropollelkyy
(Yu. A, Mitropollskiy)o Orig.-
art. has: 29 formlas. ~b
ASSOCIATION: Kyyivolkyy pedahohichnyy instytut [Kievskiy pedagogicheakiy institut)l
(Kiev Pedagogical Institute)
suBmITTED: o4may64 ENCL., 00 SM CODE: MA
NR REP SOV: 008 OTHER: 000

ROCHEN, NZ., glav. red.; VAVILOV, PJ., red.5 VERTELI, E.L, red.; GORELIK,
A.I.Y red.; GUZIWI, I.S., red.; KUMIETSOV, C.U., red.; MEDVEDEX, G.A...
red.; MODYAIJOV, Ya.V,, red.; PARTELEYEVA, A.A.. red.; POLYAKOV, V.V.,
red.; POPOV, S.A., red.; FOFOVA, &M., red.~ i~VEVSKIY, S.S,, red.; RU-
DAKOV, S.V., red.; SYUTKRT
1, A.F.., red,~ USOV, A.L., red.; USTDIOVA, I.K.j
red.; --- red.; CHEBYKIN, red.; MEZENTM, S.A., red.;
I-IOROZOV' V.S., red..; OPLESNIN, I.I.. tekbn. red.
[Forty years of the Komi A~S.S.R., 3.921-1961; studies on the cultural
and economic development of the Komi Republicil.40 let Komi ASSR, 1921-
1961; ocherki o razvitii ekonomik.L i ku-I'tury Komi Respubliki. SyktyVj:ar,
Komi knizhnoe izd--vo, 1961. 154 P. (MIRA 14.--Ia)
(Komi A~S.S.R~--Economic conditlon5) (KoMl- A,,S.S~R.--Ci:.Lture)

ku
L L~__
ACCESSION !M Z AP50201621':~VWEI! (c M/01 35/65/000/0-03/0025/0027
621-791:534-8:621-315.3
AUTHORS: Kagan, Ya, I. (Candidate of physico-mathematical sciences); Neonet-11 V. P.
n r
(Engineer) (Engineer) n, i, ee
TIT1E: Ultrasonic welding of*lacquer- or enamel-in-sulated wire connections
:SOURCE: Svarochnoye proizvodstvo, no. B, '1965, 25-27
C
'TOPIC TAGS: ultrasonic' welding, wire connection, wire welding, insulated wire/ PEV
twire insulation, PEL wire insulation, PSDK wire insulation, BPVL wire
;PGV wire insulation, UZSY1 1 ultrasonic welder
1ABStUCT: To determine the feasibility of ultrasonic welaing of vdre connections
wJthout prior removal 9f the4insul,-etion, a,~ranCe of copner/and aluminum rire sizes-
(insulation -types PEV,NPSDK7BPVL,PPETV-TL PGVY dand PEL)L~nere experimentally welded
on ultrasonic vield~ir_ UMIN-1-1 ir~t_oiviFe_-to-vire and wire-to-copper plate connections.
The contact force, welding time, and ultrasonic vibration amplitude for best connea-
tion ctren~ th
`rt; wera determinoi for each case, and a table of best parameters for 22
different connections is presented. IL -,-,as found that the wires had to be hold
proporly rh3;--nrj, the zelding proceo.-, (:~cc rig. on the EnclostLre) to give satis-
C
_T _ gLL~ ~t-

L 24,46-66
-AP5020162--
1ACCIESSION NR:
i(with PU or PEY insulation) and aluminum wires (without"insulation) could be welded
1-mithout difficulty into w1re-to-wire and wire-to-coppem plate connedtlons (.for a3.1
!vtire diameters). Insulated aluminum single-strand wires above 2 mm in-diaimeter
;could also be welded, but smaller diameters required special care and gave unsa'tis-
!factory results. The static strength in tension-shear of the connections was found
j rength, but c
to be 75-9qf of the wire st' )nlY 30-351% of this force was required to
:pull the weld apart (perpendicular to axis). The resistance of the connections was.1
:more than 87/1 of the wire resistance. Grig. art. has: 2-tables and 2 figures.
ASSOCIATION: VNIITELEKTROMLSh-.
SUBLEITTE D: 00 IRTCL: .01 SUB CODE:* IE
;1%0 REF SOV: 000 OTHER: 000
V
Card 2/3

L 2446-66
-ACCESSION NR: AP5020162
1. Well-dJ-ig heaa geometry f or -u-i r e - t a - -o1 a t e
ka) and wir_,a-to--~dre (b) welds: I- Lict-nziaent,
2- plattle.,, reflectorg 4- wi-re

T
k Ji
('C) '()'I-t/01:',7/G(;/00(;/00'1/-f-'03,i/)-'034
Y one-
'a N 0 z,, V. P 13tit A. A Shkil V. PA.
'I'ITLE: UUrasoni(
weldin, of wire enamel insulatior)
SOURCE: Rof. zh.' AMetallurgiya, Abs. 7E242
R11-:1" SOUR.C11": Tr. Vscs. n. -i. in-ta tekhnol. clektromashino- i apparatostr. ,
vNp. 3, 1965, 30-46
'j'O "7 C C
~S: ultrasonic xvoldin~-r, electric %%,ire, insulated wire, enameled wire,
ABSTRACT: An analysis was made of the process of ultrasonic welding of electric
wire without removing 'the layer of enamel or varnish insulation or perliminary
preparation of surface. The possibility has been established for welding single-
core and multicore PEL and PEV insulated copper eleciric wires to each other
anci to a Cu plate for practically all diameters used in the electrical industry, as
weil as aluminum single-core uninsulated electric wires to each other, to insulated
sinrrle-core CL,- wires, and multicore uninsulated Al wires to Cu plates. Welding of
Car-d- 1 / 2 UDC: 6 21. 7 91. 16

o