SCIENTIFIC ABSTRACT UGNJATSCHEV, N.J. - UGOLEV, A.M.
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CIA-RDP86-00513R001857820016-3
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S
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100
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December 31, 1967
Content Type:
SCIENTIFIC ABSTRACT
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TJ r - y a c h e -T. Ya T h h~- Anal yt (,-a!. Labeirr!)
Tmidy Vsono-uz. in-ta sodc~v.-Ly
30, -Bibliorr: P. 1'~.
So. IT-Itu'31, lb Sc:pL. 5~5, (Letol-Is
UGNYACHIEV, N.Ya., kand.tekhn.nauk; OLTINIK, T.11.
Serarate determination of sulfur dioxide and nitrogen oxides in the
manufacture of sulfuric acid by the chamber process. Khim.prolr;.
no-8:577-580 Ag '61. OqRA 14:8)
(Sulfur dioxide) (Nitrogen oxide) (Sulfuric acid)
UGNYACHEV, M.Ya. [Uhniachev, M.IAJ, kand. khim. nauki OLYNIK, T.V.
"C=16ft, T.V. ]
Colorimetric method for deterimining chromium in potassium and
mother liquors. Khim. prom. (Ukr-I no-3-.71-72 T1-S 163.
(MIPM 17t 8)
1. Nauchno-issledovatellskiy institut osnovnoy khimii,
A W-t t I SS Y, zlo, Dr. ; UGOCSAI, Gyuln, Dr.; -n
00011
Fa-Illarv cnrcinomn of kidnr-.-; Ln young gir'. -)rv. hetll. 93
nf7,.33-911-913 18 Auir 5?.
1, A lizogedi Urvostudo-manyl ~',j~yetern. I. I;r, .301KYO-~.Vaiznti XliniLmjanak
(Igazgota: lleteAyi Geza dr. WrademWin) en ,%ebeanctli OsztalyaruV~
(vnieto: Petri Gabor dr. ci~yot. tanar) I-o,.-Aemenyc,
(KII)ITZY ?I-MIL., neo-.Aaams
papillo-m-, case moort
0 0 0 0 0 0 6 0 0 0 0 01
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"-~etal,mlriinE, ti ie -tresses '.4hon ;eVoral are
-1 Plat(-, ~oUrICr,(, r "a , -jr.11"
- , ~ i,lj a - SCUJ 10 ,
inzi-i-enerna ',,'ol 17, 1953,
The author gives an expression for ti.te a,-ia'-t,,,t-Lc unct.ions !,,I
derivation the Droulem undor Zi.,n Is &P -.-Ilr--d liis s-
tt- wol"Ic of ;',IU.,jk,,ol'L,-!iivIIi and 1;. 1. O'hemr.n. Pr. ex in re-,
,,- n ~for c --,,monerit:~ of stress. . kr~L
is also F1 "o I
Surn. 492, 12 ",'.ay 55
, !- , 1 1 , " . z -, ~ ~z -.
UG(MCHNOV, A.G.
Blectric analog for the conformal transformation of a circular
ring onto a specified doubly-connected. domain. Ukr. VAt.zhur-7
n0-31305-312 155. (MLIIA 9:2)
(Blectromachanical analogies) (Conferral mapping)
UGODCHIKOV,,,~a_--____,_
-
Torsion calculation of prismatic isotropic beams with simply
connected crone sections. Prykl. mokh. 2 nc,.1:67-72 156.
(MLRA 10: 2)
1. Gorikovokiy tnthenerno-budivellniy institut.
(Girders) (Torsion)
U 5 0 dzi A 1 /~a A- 'CI -
PHASE I BOOK EXPLOITATION _SOV/3472
Akademiya nauk SSSR. Institut mashinovedeniya
Problemy prochnosti v mashinostroyenii, vyp. 4 (Strength Problems
in Mechanical Engineering, No. 4) Moscow., Izd-vo AN SSSR, 1959.
122 p. Errata slip inserted. 2,300 copies printed.
Ed.: N.I. Prigorovskiy, Doctor of Technical Sciences, Pmfessor; Ed.
of Publishing House: G.B. Gorshkov; Tech. Ed.: Yu.Vv Rylina;
Editorial Board: S.V. Serensen, Academician, USSR (Chairman),
F.M. Dimentberg, Doctor of Technical Sciences, V.O. Kononenko,
Doctor of Technical SciencesS.V. Pinegin, Doctor of Technical
Sciences, Pro'fessor, D.N. Reshetov, Doctor of' Technical Sciences,
Professor, G.V. Uzhik, Doctor of Technical Sciences, Professor,,
and R.M. Shneyderovich, Candidate of Techni6al Sciences.
PURPOSE: This collection of.Articles is intended for scientists and
engineers concerned with plastic deformation.
COVERAGE: This collection of 6 articles by-different authors gives
the results of investigations carried out by the Institut rmashino-
Card 1A
Strength Problems (Cont.)
SOV/3472
vedeniya AN SSSR ( Institute of Machine Science, Academy of Sciences,
USSR). The foreword was written by N.I. Prigorovskiy, Profeseor,
Doctor of Technical Sciences,.editor of the collection. The
collection of articles is the second of a series and discusses the
problem of tensile and compressive stresses, elasticity, deformatiops
under loading, and the calculation and analysis of utresses. The
authors emphasize advanced methods of analysis and report on ex-
perimental results. References follow each article,
TABLE OF CONTENTS;
Foreword
3
Shneyderovich.. R.M. [Candidate of Technical Sciences]. Elastic and
Plastic Deformations of Beam and Frame Constructions 5
The method described is based on variable parameters of plasticity.
Rods, beams, and frames are discussed.
Shishorina, 0.1. Experimental Verification of the Superposition
Method for Solving Stress Concentration Problems 47
Card 2/3
Strength Problems (Cont.) SOV/3472
Leykin, A.S. Stress Concentration in Fillets in Stepped Axial-
Symmetric Shafts Under B6nding and Torsional Stresses 61
Vasillyev, A.A. Stresses in the Blade of a Hydraulic Adjustable-
Blade Turbine 87
Ugodchikov, .0. Stress Concentrations in Tightly-Fitted Parts 100
Khurshudov, G.Kh. Stresses in Plate-Shaped Frames Connected by
Crossbars
AVAILABLE.: Library of Congress AC/jb
Card 3/3 T-27-bO
- UGMC-HI-~~," -48'er"HY)
KOV ,AA.
Torsion of hallev prismatic reds. Prikl.nekh. 2 no.2:217-223 t56.
(XIBA 9.20)
l.Gorlkovalkiy Inahenerne-budivellnty institut.
(Torsion)
124-11-13505
Translation from: Referativnyy Zhurnal, Mekhanika, 1957, 1Tr 11, p 165 (USSR)
AUTHOR: Ugodchikov, A. G.
TITLE: On the Calculation of Fitting Stresses ir. Certain Types of Press-Fitted
Connections (0 raschete posadochnykh napryazheniy v nekotorykh
tipakh pressovannOh soyedineniy )
PERIODICAL: Tr. Gor1kovsk. inzh.-stroit. in-ta, 1956, Tir 25, pp 28-43
ABSTRACT:
Card 1/1
Fitting Stresses are determined by the methods of two-dimensional
elasticity theory, utilizing the work of D. I. Sherman (Dokl. AN SSSR,
1940, 27, Nrg ). The press-fitted parts are assumed to be solid cylin-
drical washt:rs and the fitting pressure is assumed to be uniformly
distributed along their circumference. The outer contours of the parts
are assumed to be defined by curves characterized by the property
that, within the area circumscribed by such curves, a circle with unit
radius may be conformally represented by means of a polynomial
expression of the n-th power. The problem, then, is reduced to the
solution of a system of linear equations. The results of numerical
calculations are adduced, and approximate formulas are provided.
(L. 1. Balabukh)
Uq0DCh_IKCjV, Andrev Grigorlyevich (Corkiy -.-.ngr-Constr Inst) a,,-;arded
sci degree of Boc Tech Sci for the 26 Dec 57 defense of dissertation:
"Solution of a plane problem of the theory of elasticity with the aid
of electrically-moulded conformation transformation felektromodeliro-
vaniya konformnogo preobrazovaniyal" at the Gotincil, Inst of Constr
AS UkSSR; Prot No 14, 31 ',IaY 58.
Mechanics,
(BM, v0 1 11-58121)
UGM T.'()V , A.G. (Gorlkiy).
On the calcl.*,"ation of setting otrkeses in mnehine-oar t 13!r,,,t,
sumarles in Russian and Engliolil. Prykl.mekh. 3 no.2:202-208 '57.
(MMA 1,0: 9)
1. Gorlkov,.:i,, inzhenorno-b-idivel'niY institut.
(Strains nnd stresses)
i 1-ff
L
UG.CDGHIZOV, A.G.; SEMEMIKOVA, I.I. (Gorlkiy)
Electric modelling of the conformal mapping of the exterior of
a circle on the exterior of a given curve. [In Ukralitlafx viW
summaries in Russian and English] Prykl.makh.3 no.3*269476;'0-
(MIRA 10:12)
1. Gorlkovslkiy inzhenerno-budivellniy inatitut.
(Gonformal mapping-Blectromechanical analogies)
UG-01)CH I V,-., ov
AUTHORs Uhodcbykov, A.H. (In Russian - Ugodchikov, A.G.) 21-4-6/24
TITLEs On the Solution of the Plans Problem for a Composite Isotropic
Medium by means of Electrical Modelling of the Conformal Trans-
formation (Do rozvlyazannya ploakoi zadachi dlya skladovoho i;o-
tropnoho sersdovyshcha za dopomohoyu elektromodelyuvannya kon-
formnoho peretvorannya)
PERIODICAL; Dopovidi Akademii Nauk Ukrainalkoi RSR, 1957, #4, pp 343-347
(USSR)
ABSTRACTt The author proposes a method for the numerical solution of the
problem on the strained state of a composite isotropic medium,
using the Muskheliahvili (1) method and the experimental-
analytical method of conformal transformations (4).
The conformal mapping function in the form of a polynomial is
constructed with the aid of electric analogs. The function
represents an approximate conformal transformation of the unit
circle to the given region. This makes It possible to obtAin
then by the Muskhelishvili method the rigorous solution of this
Card 1/2 elasticity problem for a region which is very close to that
TITLE[ On the Solution of the Plane Problem for a Composite Isotropic
Medium by means of Electrical Modelling of the Conformal Trans-
formation (Do rozvlyar'Annya ploskoi zadachi dlya skladovoho izo-
tropnoho seredovyahcha za dopomohoyu elektromodelyuvannya kon-
formnobo peretvorennya)
given by the conditions of the problem.
The article contains 2 figures.
There are 4 references all Slavic.
INSTITUTIONi Gorlkiy Engineering-Construction Institute
PRESENTED BY Savinj H.H. (Russian equivalent - Savin, G.N.), Member of the
Ukrainian Academy of Sciences.
SUBMITTEDt 13 August 1956
IVAILABLE: At the Library of Congress.
Card 2/2
VATITBERG, D.V. -(Kiyov); UGODCHIKOV, A.G. [Uhodehykov, A.H] (Kiyev)
BandIng stresses In tightlv assembled thin plates. Prftl. wakh.
4 no.4:396-00 '58- WRA 11:12)
l.Institut stroitallnev makhaniki AN USSR,
(34stic Plates and shells)
01
ra
1:2 3 V.
ik
i~' v ~ A,
fit
vc-
In 1
UGODCHIKOV, A.G.
Concentration of fit stresses. Frobl.proch.v nashinostr. no.4:
100-110 159- (m-A u 11 - --I )
(Strains and stresses)
16(1)
A.U'MOR: Ugodchikov A. r 'kiy) SOV/41-II-1-11/12
TITLE: On -rigonometric Interpolation of Conformal Mapping F-.;nctions
PERIODICAL: Ukrainskiy matematicheskiy zhurnal, 1959, Vol 11, Nr 1,
PP 111-113 (USSR)
ABSTRACT: Let S be a domain of the z-plane bounded by L. Let L be
Jordanian, i.e. let the angle if inclination If(s) of the
tangent of L be a continuous function of the are s. Let the
function z = W (;) map 11;j < 1 conformally onto S, where q = 0
in z ~ 0 and a given direction in ~ - 0 goes over into a -given
direction in z = 0. Let z T be all interpolatJon polynomial
n U j- -
.21r.
of n-th degree, the real part of which ill e
(j=1,..., m=2n) is identical with the real part cf Z = CA) T~
Theorem: If I (:a) - Y (F3 KI s-B 'I , then j (A) )} C- ~)
uniformly to 03(~) in 11T,
Card 1/2
On Trigonometrif, Interpolation of Conformal SOV141--i I--.- -
L
a p p, i r, F Fi n c ' i onn
Theorem. If %Q ~s) is absolutely continuous and (s) 7
then w T)J converges to cj(~) uniformly ir- 1~1
n~
There are 10 references, 7 of which are 3oviet,
n, and 1 ImF~rican.
April 40, 1957
Card 2/2
87987
qo'700o
S/144/60/000/011/001/008
E031/E255
AUTHORS, G, , Doctor of Technical Sciences and
Kry.LOV, ~ost-graduate Student
TITLE: The Electrical Simulation of the Conformal Trans-
formation of Semi-infinite Domains
PERIODICAL,,, Izvestiya Vysshikh Uchebnykh Zavedeniy,
Elektromekhanika, 1960., No. 11, PP. 31-35
TEXT, The problem frequently arises of establishing a
correspondence between the points of the unit circle and the
points of the boundary of some semi-infinite domain S. To do
this it is convenient to transform the domain S with boundary L 0
into an enclosed simply-connected domain 31 with boundary Ll by
an inversions It then remains to find the transformation between
S, and the unit circle, The establishment of a correspondence
between points on the boundary of the circle and those of Ll, and
the construction of a polynqmial giving the conformal mapping of
the circle on to a domain Sj which is very close to the domain Sl,
can be achieved with the aid of electrical simulation (Ref. 2).
However, the function effecting the mapping of the unit circle on
to S' (which is very close to S) can be simplified by the
Card 112
87984
S/144/60/000/011/001/008
E031/E255
The Electrical Simulation of the Conformal Transformation of
Semi-infinite Domains
observation that in two-dimensional problems in the theory of
elasticity (where the problem under discussion arises most *
frequently), the boundary Lo assumes the particular shape that the
ends which tend to infinity do so in directions parallel to the
real axis. Thus the t ansformation consists of the sum of a term
of the form C-1/(l + and a power series int (f is t1j.
complex variable in the plane of the unit circle). The effic-
ients of the power series are obtained by putting 114.1 = e
expressing the coefficients as OLk + iOk, and separating the real
and imaginary parts. The results of a simple application of the
theory are given. There are 2 figures and 4 Soviet references,
ASSOCIATION~ Kafedra stroitel'noy mekhaniki, Gor'kovskiy
inzhenerno-stroitel'-nyy institut
(Department of Construction Mechanics, Gor'kiy
Construction Engineering Institute)
SUBMITTED! September 19, 1960
Card 212
AUTHOR: Uhodchykovg A.H.
26755
S/021/60/000/011/003/009
D204/D302
TITLEt On solving the first fundamental problem of the
theory of elasticity in a doubly--~connected region
PERIODICAL:-Akademiya nauk Ukrayinslkoyi RSR. Dopovidi, no. 11,
1960, 1480 - 1484
TEXT: It is assumed that in the plane z = x + iy the region S is
filled with an isotropic elastic mediump where S is a curvilinear
ring bounded by curves L 0 (the outer boundary) and I, (the inner
boundary). The origin is taken on L 1 and a function z = w(~) is
sought of the polynomial form
M
+
Card 1/4
26755
S/021/60/000/011/003/009
On solving the first funda*pntal ... D204/D302
which ef f ects a conf ormal tiansf ormation of the annulus
I (outer boundary yo and inner boundary y,) onto the region Be
It is known that the solution of the first fundamental problem of
the theory of elasticity for a doubly-connected region leads to
determinine; functions ci (~) and IT which are analytic in the re-
gion and which satisfy
(0,) + ~(aj fD(0j (X, + iYj ds + Cc on yo, (2)
and G)N on ylq (3)
j(aj + - - q) W + (P(Gj - Maj (X,. + JYJ ds +
where X n and Y n are components of external stress on L0 and L,.,
d 0 = lei@, d 1 = ~jei are the bounda ry values of the complex va-
Card 2/4
S/021/60/000/011/003/009
On solving the first fundamental ... D204/D302
riable ;f9 C0 and C1 are complex constants one of which may be ar-
bitrarily chosen. It may be assumed without loss of generality
that the principal vector and principal moment of the external for-
ces on each contour equals zero, and that the right-hand sides of
(2) and (3) may be written as complex Fourier series
fo(ad'- AQ +(Ao- + A.-. (4)
0
and 11(oj.- B0 (Boln + B -1 (5)
1+ W(PI
(16)
M2 (& B. Pn C~ + (A-, B-n r, 21")
Card 3/4 ----- -
26755
S/021/60/000/011/003/009
On solving the first fundamental ... D204/D302
is obtained. Equating the coefficients of each power of ~ in (16) X
gives two infinite systems of linear algebraic equations, which to~
gether with previously stated equations solve the first fundamen-
tal problem of elasticity in a doubly-conneoted regiono In a con-
crete example, where the required accuracy of the solution is
known, it is possible to use a finite number N of terms of the se-
ries for 91(~). The solution will be unique if Im a,,= 0 (where ak
k = lp 2 .. oo are the coefficients)# The method described may
also be applied to the second fundamental problem of the plane
theory of elasticity and displacement for a doubly-connected re-
giong where on one contour the stress is given and on the other the
displacement. There are 1 figure, 1 table, and 2 Soviet-bloc re-
ferences.
ASSOCIATION: Hortkivalkyy inzhenerno-budiveltnyy instytut (Gorlkiy
Institute of Civil Engineering)
PRESENTED: by H.M. Savinp Academician of the AS UkrSSR
SUBMITTED: November 179 1959
Card 4/4
-992PCHZQY,,-A.-G.-CGor Skly)
Determining stressee due to preaging Into a plate some
circular washers with vari%ble tightness. Inzh.abor. 27:
157-161 160. (MIRA 13:6)
(Strsins and stresses)
UCOCITI;~,W, A.G.; ',,C-`L'LC,V,
---- - -
. .
Electric - - .
. -
raL:iono. Izv. -..:' t-' . "", - .,
i I
Cda-- "
. I- -,:,, ~- tw--i on 0, -.~ ~~
. -I- - - - . ~ -
L--' -5 ""1
3 no-1: -3-1-3.) --
(','~-.LiA 14:2)
.I"-, ,- -:~ , -o--. e - -=7 ar
- - . . anIcal , - - -;ien)
-JMQA4,1pV A.G!~ (Uhodehy'kov, A.H.] (Gorikiy)
.A_
A case of analog7 In Investigating stress concentration around
holes. Prykl.makh. 6 no.4:429-434 16o. (MIRA 13:11)
1. Gorlkovakiy inzhenarno-stroitellny
.;y institut.
(Strains and stresses)
2534
S/021/61/000/007/002/0:Lf
D205/D306-
Z-0 0
AUTHOR: Uhodchykov, A.H.
TITLE: On solving fundamental boundary problems of bending
of a th4-h plate if the region w4ich it occupies is
double-connected
YERIODICAL: Akademi a nauk Ukrayinslkoyi RSRj Do~ovidi, no.'7,.
1961, N4 - 867
TEXT: It is' supposed that the middle plane of t4e plate coincides
with the plane z = x +1y and the region S occupied by the plate
is double connected and,limited by smooth curves LO (external,
boundary) and L, (inside boundary). The origin of coordinates with-y~
in I, is chosen and it is supposed also that one knows the func-
tion n
z 0) W - E civ + E -C-A-11
Card 1/7
253
45
S/021/61/000/007/002/011
On solving,fundamentaZ D205/D306
which is a polynomial and realizes the conformal representation of
(with outside boiindary yo and.insiC~e
a arcular ring
the plate. It is
boundary y) on the given region S occupied by
.
known that the principal difficulty in solving 'the boundary,'prob-
lems,consists in finding the general solution.- a biharmonic func-
tion w; in the present case this is equivalent to determini'n' two
.functions T(~) and J(~) which are analytic in the ring YJ
It is also-assumed - without restricting the generality of the
case - that the principal vector and the principal moment of force
on LO and I, are equalto 0, then thebe functions will be regulaxt
inside the ring and must-satisfy the bound~ry.c6ndi-
tions:
(0,) + (do) /o (00) + ico(O (do) on (2)
YO
+ C,, on yl (3)
TILT + (d~ f(di) + 1C
-Card 2/7
25345
S/021/61/000/007/002/011
On solving fundamental'... D205/D306
The values of the coefficients ??op 11 of the real constants.C't C
0 1
and of the complex constants 01, 01 as well as'the meaning and va-
0 1-
lue of the functions fo(do) and f,,(d,) will depend here on the "boun-
dary'conditions given on L and L and on the type of the boundary
0 1
problem which is being studied (see Table). In this table, nota-
-tions introduced in G.N. Savin's book (Ref. 1: Kontsentratsi a nap-
ryazheniy okolo otvers-IL-Iiy, Gostekhizdat, 1951)'are used: m s are
bending moments on LO
acid Ll' The author finally obtains fs
p(s) ds where p(s).are bending forces on the 8ame boundaries,
+ V
v being Poisson's coefficient. The systems of,
and v
a* (~o - Y)lol*) (k - v)+k~*Ct+, (I
(16)
k- 1.
Citrd 3/7
25345
S/021/61/000/007/002/0-11
On.solving fundamental -D205/D306
k kc.,-k (I - le,(V~-k)) a-t, (110 - 111Q, (k + V) c- (k+v)
A-1 k-1
n M
Ico ~E C* (k v) C*-,, C-k (k + V) Z~-(*+V) Jvoc, (16)
(A. v) (A-. (v + M) C-(V+-)"
M-i M-I
(v
+ 4-
OP (h
-kC-(*+v) (I Q-,,*+v)) + a-* (ijo 711r, I*) (v
117)
(co C-h (v - c%-k + C1, (k + v) lffk+v + NoZv-
k)
Card 4/7
CUM,,,,
.25345
S/021/61/000/007/002/011
On solving fundamental D205/D306
(A. - B. e,) (v + m) dv+,n +(A-m -B-me-21 (V M) Cv-.,.-.
1
(V=
together with expressions
W (P. -(-L, 46)(1 + U0.
2
2 2 2
W
1) i0ij 41 + C-
and CPI 4
1 (9)
It,must'be noted that I
ch-solve the PrIoposed problem. n solvin
whi
the first fundamental problem it is appropriate to choose CI 9.
so
Card 5/7
25345
S/021/61/000/007/002/011
On solving fundamental ... D205/D306
that N 0. It remains only to determine.Co (see Table). In the
0
second Prcblem ~o =,ql and N = BO -- AO is a known quantity and
0
therefore one must refer.the factors containing N to the right
0
hand sides of (16) dnd (17'. In the mixed pioblem when the streams
L, (see Table) it wiil be ne-cessary.
are given on LO and strains on
to determine CO and No = B0 - AO + ao(,~ - 1) ~--..Col. When solving
'concrete.problems, the necessary accuracy being known one can
take a finite number e of terms of the series for cf(~~. The system
of equations obtained'in'this way can be solved without-any diffi7-,
culty and its solution will be unique if one puts Imal = 0 which-
does not affect the result. There are 1 table..and 6 Soviet-bloc re-
ferences.
ASSOCIATION: Hor1kovs1kyy J.nzhenerno-budivellnyy instytut (Qorlliiy~
Institute of Civil Engineering)
SUB14-ITTED: December 23, 3-960
Card 6/7
43336
S/044/6Z/OW/011/054/064
X -It Ao6o/Aooo
AUTHOR. Ugodchikov, A.G.
TITLE: On the solution of the plane problem of the theory of elasticity by
electrical simulation of conformal mapping
PERIODICAL: Referativnyy zhurnal, Matematika, no. 11, 1962, 46, abstract lIV211
(Tr. Gor1kovsk. inzh.-stroit, in-ta,,1961, no. 30, 3 - 41)
TEXT: In solving harmonic and biharmonic problems of the plane theory of
elasticity by methods based on the application of Cauchy-type integrals and con-
formal mapping, it is necessary to know the functi6n which maps the unit circle
onto the (simply connected) region occupied by the-elastic medium. Here a parti-
cularly simple and effective solution of biharmonle problems is obtained (as was
demonstrated by N.I. Muskhelishvili) when the mapping function is a polynomial.
In 1955, the author had proposed (Ukrainskiy matematicheskiy zhurnal, 1955, v. 7,
no. 2, 3) a method of approximate construction of a mapping function W (~ ) in
the form of a polynomial. An approximating polynomial w n (~ ) of degree n is
constructed according to the Schwartz formula with the aid of a trigonometric in-
Card 1/2
S/044/62/000/011/054/064
On the solution of the plane problem of .... A060/AOW
terpolation polynomial X n (e), coinciding at equidistant points with tile real
part of ihe requisite function. In the present work it is proven that, if the
region is bounded by a rectified Jordan curve, the sequence of approximating pol-
ynomials Wn converges in the mean to the mapping function, i.e., for F -41
lim ie)12
Wn (P eio) e M = 0
The method of solving problems In the theory of elasticity under the condition
that the mapping function is a polynomial Is illustrated upon the problem of the
deflection of solid rods (the harmonic case) and on the plane problem for a sim-
ply connected region with specified concentrated forces and moments (the bihar-
monic case).
I.0. Aramanovich
LAbstracter's note: Complete translation]
Card 2/2 -
UGODCHIKOVY A.G. [Uhodchykov, A.H.)
Solution of a generalJ.zed biharmonic problem in the plane t1reory of
elasticity for double-.connected domains. Dop. AN URSR no.11:
1440-1444 161. (MIRA 16-7)
1. Gcrlkovskiy inzhenerno.-stroitelInyy institut. Predstavleno
akademikom AN UkrSSR G.N.Savinym [Savin, H.M.].
(Elasticity)
. UGODCHIKOV, A.,G., doktor tek-Wi.muk2 prof.
1. -,
Solution of the ~,-~roblem of the theory 'of e1asticity with
the aid of electr.- - 'ng of conforad mapping.,Trudy GISI
no.30:0-41 161. (KIFLA 16:9)
UGODCHIKOV 4.0
,-Wor 'kiy)
Calculating fltting stresses around holes in elastic media. Inzh.
sbor. 31:80-85 161. (IABA 14:6)
(Strains and stresses)
UGC4D~~CHIKO AG. (Gorkiy)i MYLOV, A.Ya. (GO'rgkiy)
Calculating stresses near inspection galleries in hyd-rotechalcal
installationp. IwJi,.zhur. 1 no-4:IW-165 161. (14MA 15-4)
(Hydraulic engineering)
Ral-I
KEHOPYAN, K.K., prof., doktor -tekhn. nauk, red.; PUKHOV, G.Ye.,
prof., doktor tekhn. na7jk., red.; 1j-QQ
~ ~HIKOV, A.G., prof
doktor tekhn. nauk, red.; SADDETOV, S.Ya., dots., kand. tekhn,
nauk, red.; OUR!, I.I., assistent, rod.; CIIEGOLIN, 1'.1A. dots., kand.
tekhn.nauk,red.(Fdnsk)
[Proceedings of the Inter-University Conference on Electric
Modeling of Problems of Structural Mechanics, Theor,, of
Elasticity, and Strength of Materials] Trudy Mezhvuzovskoi
nauchno-tekhnicheskoi konferentsii po elektricheskomu modeli-
rovaniiu. zadach stroitollnoi mekhaniki, teorii uprugosti i
soprotivleniia materialov. Pod red. K.K.Keropiana i A.G.
Ugodchikova. Novocherlcassk, Rostovskii inzhenerno-stroitell-
nyi in-t, 1962. 176 p. (NLU 17:4)
1. Mezhvuzovskaya nauchno-tekhnicheskaya konferentsiya po
elektricheskomu modelirovanlyu zadach stroitellnoy iriekhaniki,
teorii uprugosti i soprotivleniya materialov. 2d, Rostov-na-Donu,
1962* f 2. Rostovskiy-na-Donu inzhenerno-stroitellr~-y---In-
StMt (for Keropyan,.Sadetov, Gunkin). 3.Chlen-lorre--pondent
All Ukr.SSR i Vychis3i1*1'nyy tsentr AN SS9R (for Fukhov).
4. Gorlkovskiy inzhenerno-stroitellnyy institut (for Ugodchikov).
AUTHOR; Ugodchilcov, A. G.
35931
3/044/62/GOG/002/0!n/052
Gill/C333
TITLE. T'lic deter.,iination of streuses durinG the pre,-Sin~~ of
-;ome round di~;ks into ~~ plute -.,.,Itli vLriLble ne,-Ltive
allowances
PERIODICAL: zhurnal, 'Matem-AilKa, no. 2, 1962, 1~1,
I I
abs'UrL,ct 2B176. ("Inzhenernyy sb.11, 196o, 27, 157-161)
'PE X T The ~LU'6110r conciders t-he state of otress of a plate ai-~h
I disks; platue ~.nd dis',3 have the same el~~stic properties. It
is as-m.-led that thu on the free boundaries of the plate and
th~; i'lisplLcement JumP3 z~t- tlic lboundarics of the plutu ctnd of the Jizks
are '-nown. In contruE;,, ",-,th other papers on joininL~ toE;(--.~'Ulner 1,L.rts by
pressin,r, 1--e--,-e the jump is a function of the affit. t Of
the conju-'z!,tion point. It iL; z;hovm that, with the P-id of the analytic
continuation acoor~Un- to D. I. Sherman, the problem can be reduced
as in the case of a constant jump to the first fundtw,entul of
elasticity Wieor~, for tlie donain occupied by the bodie~3 joined tocether.
[~bstructerls note: Complete translationj
Card 1/1
3/271/63/000/003/020/049
Ao6o/.,,126
AUTIIOR2 UgodeWkovs-A.G.
47
th th
TMX: Construction of conformal mapping functions wi e aid of elec-
trical simulation. (Semi-infinite double-connected domainz)
IR6ferativnyy zhu-nal, Avtomatika, telemekhanika I vychislitel 11M
PMEODICAL.
3, 1963, 6, abatraot 3B31 (Dou. 4-y Mezhvuz. konfe--
tekhnika, no.
rentaii po primeneniyu fiz. i matem, modelirovaniya v razlichn.
otraslyakh tekhn,, Sb. 1, Moscow, 1962, 59 - 69)
The precise or-si~tisfactory approximate solution-of the problem or
constructing a function z~)N), which realizes the conformal mapping of a
carionical domain D of the S plane onto a specif ied domain S of the z plane pre-
sents considerable mathematical difficulties. Methods for constructing mapping
fun~Aions fox- prespecifled single- and double-conxitected domains have beon devel-
oped earlier. The author setis forth a method for constructing a function z
w (e), which realizes the conformal mapping of a oircular ring 9 1 41 / V 4
onto a specified double-conne,I,ted ssrai-infinite domain. ThJ3 problem Is solved
C&nd 1/2
S/271/63/000/003/0:20/049
Construction of conformal m apping ftuictions Ao6q/A126
with i;he aid o' electrical simulation by converting that domain Into a finitA.
one.I The method of finding the approximate mapping function is given. As an
example the author considers theproldem of oonstructing a funotion mapping the
circular ring 4.1 onto a double-connected seni-infinite domain oc-
cupied by a scaled foundation and a aam, weakened by a cambered outlet. There
are 11 references.
39375,
S10441621000100610061127
B112/B104
AUT'l-l'OH: URodchikov. A. G.
TITLE: Soliltion of the generalized biharmonic problem in the two-
dimensional tbeorf of elasticity for doubly connected domains
'BRIODICAL: Reforativnyy zhurnal. Matematika, no. 6, 1962, 42, abstract
6B179 (Tr. Gorlkovsk. inzh.-stroit. in-ta, no. 39, 1961, 5-15)
T-EM P roblemd associated viith*the two-dimensional theory of elasticity
for doubly connected domains that can be represented on a circular ring
using a function of the form r
> c.z-i are considered. The right-hand
sides of the boundary conditions satisfied by the complex potentials are
assumed to be rational functions. (This imooses additional restrictions
an the external forces.) The method of solution is similar to 11. 1.
z,~'uskhelishvilils well-'knorm method for singly connected domains that can
~e-represented on a circle with the aid of rational functions. LAbstrac-
ter's note: Complete translation.]
Card 1/1
UGODCHIKOVR A. G.
Cowintration of fit otresses around holee. Probl. proch. v
Vf maisMnostr. no.9*.5-34 162. (MM .15:10)
-,A,
(Strains ancil,stresses)
.
-.UGqDqHIKW
1v
Effect of technological errors on fit stresses. Probl. proch. v
mashitiostr. no.9zl5-24 962. (MIRA .15:10)
(Stmino and stresses)
I
UGODCHIKOV, A.G. (Gorikiy)
Streseed state in butt and tee welded joints under the action of
an exUrnal load. Inzh,.zhur. 2 no~3:185-189 162. (MA l5s8)
(Electric welding) (Strains and stresses)
UGODGHIKOV -1 A.G. (Gorlki-y); KUZIDPTSOVp A.M. (Gorlkiy)
Calculating static otressos in gear teeth. Inzh. zbur. 3
no.2:348-.354 '63. (MIRA 16:6)
(Gearing)
UGODCHIKOV, A.G.
Solving probIems Of the torsion and flerLLre of compoaita jurt5matic
rods. Trwdy GISI no.".60-71 '63.
I ~- ` --- - - . I . I - '~ ` -~ ~-- - - - ~~ , !-1, i ~~ , ~- :7 .
. -, .. ~ I ~. I , " , - . : F~ ~ :
~~ tlm~ ~11 M=- x - - q=-
-.MA
UGODCHIKOII.. A.G.; SHIPSKIY9 P.S.
Calculatibg polygonal pipes for internal pressure. 'Lmdy GTIS-I r-c.44!
128-139 163. (MIRA 33,,111)
-- - KRYLOV A. YA.: KUZ%i'ETSG'V, A.M.; SOMRENNIKUA- !-I-; UOODGIUMT, A.G. (Gorlky"
3 1 . . j
"On the solution of some plane problems of applied elasticity -with the aid of
electrical simulation of conformal mapping".
report presented at the 2nd LU-Union Congress on Theoretical and Applied
Mechanics, Moscow, 29 Jan - 5 Feb 64.
T, 25764-65 W_(d) IJP(C) M X'
MR., AT5002505 S[NA0164-100010001018310190
I-7
R: Ugodchikovf A.. 0.
=19: The use of -lectros.1-milatioti of? con-forn-al representation and Lagrange in-
olatory polynomints for the coner-riction of conferm-il representatione of fua-
ctions
I 9OURCE.- Analogovymje metody i aredstva resbeniya krayewrkh zadach (Analog metbods
and means of solving boundar7 value problemal! _t gdy Ve yj~no ~oaRytehShqniyaj_
Moskva, 1962 g. Kiev, Nauko-va durnka, lq54, 183-00
TOPIC TAGS: electromodel, electrosivilation, conformal mapping, interpolation,
Lagrange interpolation, analog computer, boundary value problem, el2sticity
the6ry
The paper deals with a mathematical technique for transforming a cer-
ABSTRACr:
tain broad class of boundary value Rrobm-a. In the boundary value problems of
the :)Ia"- theory of elasticity, the method of conformal representation of func-
tions ie well-kn