SCIENTIFIC ABSTRACT BEZUKHOV, N. I. - BEZUKLADNOKOVA, N.A.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000205210019-1
• Release Decision: RIF
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• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: June 8, 2000
• Sequence Number: 19
• Publication Date: December 31, 1967
• Content Type: SCIENCEAB

Collection of Problems on the Theory of (cont.) 806
3. Axially symmetrical strain of thin-walled shells of
revolution 16o
4. Rigidity problems (rigidity of plates, rigidity of flat
bend) 164
5. Natural and forced vibrations of plates 172
6. Vibrations of thin-section bars 178
7. Combined problems of rigidity and dynamics of bars and
shells. 183
Ch. TV.
Theory of Plasticity

Brie
f information on theory
188
1.
Pez-bial cases of plastic conditions
194
2.
Elastic and
plastic strains in bars under tension and compression
197
3.
Bending of statically determined beams; case of an ideally

plastic material
206
4.
Beading. Case of a gradual dependence
of stresses on strains
214
5-
Coattw::ation (Method of
Elastic Solutions" in the theory of

elastic and plastic
bending of beams)
218
6.
Elastic plastic axially symmetrical
strains in wheels, pipes
225
7.
Tvo-dimensional problem of
plasticity theory
234
8.
Elastic and plastic free torsion of
bars
238
Cz,-d 4/ 5

Cc-11ectim of 11robleds on the Theory of (coat. 806
9. Spreading of a plastic mass in settling 249
Ch. V. AppraAmste Solutions in Plasticity Theory
Brief informtion on theory 256
1. ApprvAmate eTlmtims of equilibrium and approximte
conditions
of Plasticity 257
2. Ca--7.7i:ng capacity of statically indeterminate beams
and frames 264
.3. Cazy-y1rig espacity of plates which are being bent 275
Fe.iere--,:~es cited and sources 282
AVAIIABIE: Library of Congress (QA93l-B44)
Card 5/ 5
is /fIal
11/25/58

PHASE I BOOK ECPLOITATION 321
Panovko, Takov Gilelevich
Oswvy prikladuoy teorii uprugikh kolebaniy (Principles of
Applied Theory of
Elastic Vibrations) Moscow, Kashigiz, 1957. 335 P. 5,000
copies printed.
Reviever: Bezukhov N. Dr. of Tech. Sciewes, Prof.; Ed.:
Afanaslyev, M. A.,
adlov.--I-
C lidate of Tech. Sciences,, Docent; Ed. of Publishing House:
Martens, S. B., Engineer; Tech. Eds.: Tikhanov, A. Ya. and
Sokolova, T. F.
Managing Ed. for general technical literature (Nashgiz)-
Ponomareva, K. A.
PURPOSE: This book is for engineers and technologists of
scientific-researeh
institutes and of design departments of factories.
COVERAGE: This book presents the general theory of elastic
vibrations in the
three maIn types of elastic systems: systems vith one degree of
freedom, systems vith several degrees of freedom, and systems
with
continuous distribution of mass (vith an infinite mnaber of
degrees of
freedom). Problem of vibrations occurring in
internal-combustion
engines, steam and gas turbines, automobiles, in metalworking,
and in
other technological processes are considered. Some of these
problems
Card 1/12- are connected vith the latest technological
developments vhich include

Principles of Applied Theory of Elastic Vibrations 321
now vibration problems: frictional autovibrations, vibrations
in metalcutting,
automatic balancing of rotors, etc. Computational methods am
stated and
compared, and as a result, some traditional concepts are
declared obsolete,
e.g., application of Fourier's series to the analysis of
forces. The text is
il.lustratzd vith mr-rous calculations. The book my serve as
a guide to
literature in the field aAcI as an introduction to
specialized literature con-
cerned vith complex problems in the theory of vibrations.
Soviet contributions
in the field of the theory of elastic vibrations are
mentioned. along vith
developments of new problem, derivation of particular and
geveralized solutions,
etc. There are 178 figures, 7 tables, 802 equations, and 209
references of
vhich 152 Soviet, 24 German, 15 English, 2 Czech, 1'Polish,
and 1 Japanese.
TABLE OF
CONTEIRTS: Preface 3
Introduction 5
Part I. System with Single Degree of Freedom
Ch. 1. Free Vibrations 9
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Principles of ApplieeL Theory of Elastic Vibrations 321
1. Linear systems vithout damping
9
Fundamental equation
for free vibrations and its integral
10
Effect of initial
conditions
14
Energy ratio@
16
Rigidity coefficients
18
2.
AVVrwdmaticw methods for the reduction to a system vith

one degree of freedoa
21
Method of energies
22
Reduction to
simple systems
33
Method of sequential approximations
40
3-
Effect of inelastic-resistance forces on free vibrations
42
Basic forms of forces of inelastic resistance
42
Free
vibrations vith viscous resistance
45
Free vibrations with
consideration of the quadratic lav of

resistsumb-I
47
Free
vibrations vith solid friction
50
Free vibrations vith
internal. inelastic resistance
51
Generalized concepts of
the logarithmic decre nt
54
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Principles of Applied Theory of Elastic Vibrations 321
Ch. 2. Forced Vibrations 57
4. General solution vithout consideration of inelastic
resistance
57
The general equation and its solution
57
"Kinematic" disturbance
63
5. Most important cases of
forced vibrations
65
Effect of harmonic forces
65
Effect of
a "kinematic" harmonic disturbance
71
Beats
74
Effect of
slow force variation
77
Effect of rapidly vanishing forces
78
Effect of an arbitrary periodic perturbation force
(method of

resolution into harmonic components)
80
Effect
of periodic Impilses
82
Effect of an arbitrary periodic
force (closed form of solution)
84
6. Effect ot inela;tic-resistance forces on forced
vibrations 86
Effect Wftscous resistance 86
Effect of hysteresis losses 97
Effect of arbitrary inelastic-resistance forces 100
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Principles of Applied Theory of Elastic Vibrations
7. Working principles of vibration recorders
Frequency gauges
Vibration recorders
8. Principle ofAbration isolation
Active vibration isolation
Passive vibration isolation
Ch. 3. Vibration of Elastic Nonlinear System
9. Free vibrations
Types of nonlinear characteristics
Accurate solution
Approximate solution
Construction of elasticity eh teristics
Construction of (p1) curves for particular cases
10. Effect of disturbing forces on a non" ar elastic
system
Harmonic disturbing force
Effect of viscous resistance
Effect of two disturbing forces
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321
102
102
103
108
108
110
112
1-12
112
3-15
117
127
130
131
131
138
140

Principles of Appliei Theory of Elastic Vibrations 321
Effect of aperiodic impulses 141
Ch. 4. quasi-harmonic Vibrations and Self-excited
Vibrations 143
31. Quasi-harmonic vibrations
Dynamic stability of a rod
Vibrations of a system of bars
Vibrations of a crank mechanism
143
144
150
154
12. Frictional self-ext-i d vibrations 158
Causes of frictional self-excited vibrations 158
Method of energy balance 16o
DiscontjX~ms.jreiaxation) vibrations of a system without
mass 163
Discontinuous vibrations with simplified friction
characteristics 167
Self-excited vibrations in metal cutting 172
Part 3:1. Systems with Many Degrees of Freedom
Ch. 5. Free Vibrations, 176
13- Methods for the construction of equations of motion
and
peculiarities of their solutions 17
Systems with many degrees of freedom 176
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Principles of Applied Theory of Elastic Vibrations 321
Three methods for the construction of equations of motion
for a
simple system with tvo degrees of freedom 177
Solution of equations of motion for a simple system 179
Orthogonality of normal modes of vibrations 182
14. Torsional vibrations of shatts 183
Fundamental equations 183
Normal modes of vibrations 187
Determination of motion from initial conditions 188
Calculation of natural frequencies and normal modes by the
method of sequential approximations 191
15. Flexural vibrations of beam 195
Fundamental equations of the problem and the frequency
equation 197
Determination of natural frequencies by approximation 201
Normal modes of vibrations 202
Determination of motion from initial conditions 208
16. Automobile vibration
209
Card 7/12.

Principles of Applied Theory of Elastic Vibrations 32-1
Ch. 6. Forced Vibrations 215
17.
Forced vibrations of a two-mass simple system
215

Direct
solution
216

Principle of the dynamic damping of vibrations
218

Normal-mode expansion of the solution
219

Normal-mode
expansion of the solution with conservation of the

given
form of aperiodic loads
221
18.
Torsional vibration of
shafts
222

Application of continued fractions
222

Wormal-mode
expansion of the solution
227

Calculation of resonant
amplitudes
231
19.
Flexural vibration of beams
232
20.
Vibration dampers
235

Dynamic damper of vibrations
235

Pendulum damper of torsional vibrations
238

Pringle's
torsional vibration damper
240

Vibration absorbers
243

Dynamic vibration absorber vith damping
244
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Principles of Applied Theory of Elastic Vibrations 321
Ch- 7. Lateral Vibrations of Rotating Shafts 246
Part III. Systems With Continuous Hue Distribution
Ch. 8. Free Vibrations of Rods 269
25. Longitudinal vibrations of rods
269
Fundamental
equation and its solution
270
Boundary conditions
272
The
frequency equation
273
26. Torsional vibrations

Fundamental
equation and its solution
276
Boundary conditions
277
The
frequency equation
277
27. Lateral vibrations of bewns of constant cross section
278
Fundamental equation and its solution 279
Boundary conditions 281
The frequency equation 282
Determination of notion from initial conditions 284
Card 9/12

Principles of Applied Theory of Elastic Vibrations 321

Effect of constant longitudinal force
285

Effect of harmonic
longitudinal force
285
21.
Single disk shaft
246

Critical speed
of rotation
246

Free vibrations near the steady state
249

Gyroscope effect
251

Critical rotation speeds of a shaft
vhich has a cross-sectional

area with various main moments
of inertia
253

Effect of the veight 9f a disk mounted on a
horizontal shaft
255
22.
Effect of friction
256

Viscous
resistance
257

Effect of oil-film lubrication in bearings
258

Solid friction in bearings
263
23.
Shaft vith several disks.
A rigid rotor in elastic bearings
263

Shaft vith several
disks
263

Rigid rotor in elastic bearings
264
24.
Automatic
balancing of rotating shafts
267

Effect of chain tensions
288
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Principles of Applied Theory of Elastic Vibrations
28. Vibration of rods of variable cross section
Raylelgh's theorem
Ritz method
Bubnov-Galerkin method
Method of sequential approximations
29. Plane vibrations of disks
Radial vibrations
Tangential vibrations
30. Flexural vibrations of disks
Kinetic energy
Potential energy of flexural deformation
Potential energy of the centrifugal-force wea.
Umbellate vibrations
Pan vibrations
31. Flexural vibrations of rectangular plates
Plate of constant thickness
Approxi te solution
Card 3.1/12
321
290
291
294
296
298
307
301
304
307
307
308
308
309
311
311
311
313

Principles of Applied Theory of Elastic Vibrations 321
Ch. 9. Forced Vibrations 315
3P. Longituainal vibrations of rods 315
Harmonic perturbance 315
Expansion of the solution into a series of fundamental
functions 318
33. Lateral vibrations of beams
Harmonic perturbance
General case of perturbance
Bibliography
AVAILABLE: Library of Congress
Ew/nal
June 3., 1958
320
320
322
325
Card 12/12.

SOV/124--58-11 13049
Translation from: Referativnyy zhurnal, Mekhanika, 1958, Nr
11, p 169 (USSR1
AUTHOR:
TITLE- On a Dynamic Contact Problem (Ob odnoy
dinamicheskovkontaktrov
zadache)
PERIODICAL: Sb. tr. Vses. zaochn. inzli. - stroit. in-t,
1957. Vol 1, pp 63 -71
ABSTRACT: The author first examines a problem on %ibrations
of a rnass:,-.,e
body freely supported by an elastic sphere which, ~n turn, ;s
supported by an elastic half-space; wAhout considering the
unilat-
erdl nature of the contacts in the "body-- sphere -half
--space" system.
the author derives approximate solutions for the following
problems-
The frequency of vertical vibrations of a massive body which
has
only one degree of freedom; and the amplitude of Tibrations
produced
by impulses of an "instantaneous force", as the expression
PAt is
designated by the author. The natural frequency was found to
be a
function of the amplitude of the vibrations. The solution
obtained
is expanded to include the case of vibration of the same
massive
body supported by a system of spheres arranged along a
circular
Card 1/1 groove. 1. K.

SOV/124-58-2-2 113
Translation from: Referativnyy zhurnal, Mekhanika, 1958. Nr
Z, p 87 (USSR)
AUTHORS: Bezukhov, N. 1. , Luzhin, 0. V.
TITLE: On the Calculation of Thin-walled Beams With Respect
to Forced
Vibrations K raschetu tonkostennykh sterzhney na
vynuzhdennyve
kolebaniya)
PERIODICAL: V sb. : Issledovaniya po teorii sooruzheniy. Nr
7, Moscow
Gosstroyizdat, 1957, pp 7-41
ABSTRACT- An investigation of forced vibrations of
thin-walled beams. It is
indicated that tf)e influence of a cotistraint of nonplane
deformatiors
of the cross 5ectionq of thin-walled beams becomes greater
with
dynamic loadings than with static loads. An examination is
made of
the forced torsional vibrations of thin-walled beams with
two axes
of symmetry. The flexural vibrations of such beams are
expressed
by the same equations that are well known from the theory of
the
vibrations of nonthin-walled beams. The equations of
torsional
vibrations are then described by a single differential
equation, In
the solution of that equation the authors utilize the method
of initial
Card 1/3 parameters for which in this paper the authors
provide definitive

SOV/124-58-2 211~,
On the Calculation of Thin-walled Beams With Respect to Forced
Vibrations
formulas for any generic section and a table of the amplitudes
of the vibrational
reactions for several specific cases of the attachment of such
beams. As an
example the authors examine an H beam, at the center of the
span of which a
concentrated torque is applied. It is found that the constraint
of the nonplane
deformations reduces the second-order moment at midspan by more
than one half,
while the torque at the supports is reduced by 30 percent. For
the purpose of corn
parison the paper also adduces distribution curves relative to
the amplitudes
obtained in the calculations of the same H beam conducted for
it as a nonthin-walled
beam. Thereupon the study continues with an examination of the
free torsional
vibrations of thin-walled beams having sections with two axes
of symmetry, Tn
that case the value of the external disturbance must be
equalled to zero in the equa
tions of the torsional vibration forces, while the frequency of
the forced vibrations
should be replaced by the natural frequency, For an H beam of
the Nr 30a type
the first. natural frequency was found to be 2.5 times as great
as when the same
profile was considered as a nonthin-walled beam, At this point
the authors adduce
some experimental data, namely, the results of an experimental
investigation of
a Nr 18 H beam, one end of which was free, while the other end
was tightly
,,velded to a special plate. The difference between test data
and theoretical values
amounted to only 4-5 percent. Further on the authors discuss
the forced
Card 2/3

SOVI/I 24 - 58- ~ II I
Oil the Calculation of Thin -walled Beams With Respect to
Forced Vibratior's
flexo-torsional ibrations of thin--walied beams ha-%ing a
section with hut a single
axis of symmetry The corresponding formulas and amplitude
tables for the
initial parameters, in this case. were found to be more
complicated. As a
result of a comparison of the distribuiion curves of the
force and kinematic
factors for a thin walled beam (,.iz, , a Nr 16a channel
b,arn) one maV note that
when the beam is acted upon by a concentrated force and a
torque man-lent of
equal magnitude the torsional taictors are considerably
smaller for a ,:hrating
concentrated force than for a torque mornent ~ ibrating with
the same frequency,
and, converselv, the Ilexural factors in the secovd case are
small as cornpared
to those obtaining in the first case Consideration is given
to the influence of
concentrated masses on the amplitudes of a forced vibration
and to the case of
the presence of a longitudinal force due to an elastic and
dn elastic-moment
foundation, Lastly, the authors discuss the peculiarities of
the dynamic calcula
tion of composite beams made up of thin-walled elements, in
particular of
beams with a discontinuous axis, The paper introduces the
concept of a "dynamic
center of stiffness", which is characterized by the property
that a dynamic trans
verse load passing through it does not exert any torque upon
the beam-
D, V, Bychkov
Card 3/3

.- 3B.ZUKHOV~. -No I-e , prof . , daktor takhasumuk
[Practical mthode for dotermlyAng deformations of
rods in
elastoplastio banding; a textbook] Prakt1chaskle
metody
oprodelonile deformtell stershaoi pri
uprugo-plastichaskom
isgibe; uchabnoe posoble. Moskva, Yess.saochal
in2henerno-
stroit.in-t. 1958. 16 p.
(KIU 14:1)
(Wastic rods and wires)

BEZ M OV, N.I., prof., doktor tekhn.nauk
[Introductory lecture of a course on *Strength of
naterials.*3
Vvodnais lekt9iis po kursu OSoprotivlenia
materialov.* I2d.3.
Moskva, YseB.zaochnyi inzhonerno-stroit.in-t, 1958.
28 p.
(MIRA 14:1)
(Strength of materials)

BEZUKHOV., 11.1.
PERIODICALS: TESTIS 7-10.2 . 1958
BEZUnOll, N. A review of IA. Panovko's book Prin iples
of AT) ed Theoi~y of
Elastic Vibrations. In Ri;.ssi.on. PI-i
Monthly list of East '-'ur.-)pean Accessiom ( EAI) LC,
V01.8, No. 2,
February 1959, Unclass.

GMIFGAT, David Beniaminovich; OSHNCKOV, Vladimir
Aminovich; BEZUKHOT.
- N.I.p prof., retsenzent; LIPGART, A.Aes prof.,
red.; NAirIIMS~N'
T.'A" inzh., red.; ZLIKIND. T.D.. takhn.red.
tTruck frames] Rany gruzovykh avtomobilei. Pod red.
A.A.Li-o
garta. Koskva ' Gos.uauchno-tekhn.izd-vo
anshinostroit.lit-ry,
1959. 228 P. (KIRA 13:6)
(Kotort rucks-Irrame 9)

GXLIFGAT. David Beniaminovich; OMWOXOV, Vladimir
Aminovich; LIPGART.
A.A, prof.9 redo; BIZUXHOT, M.1-.,__I)rof.,
retsenzent; HAMMON,
7,A,, ingh,,,7d.; CTI-ND, T.I., tekhn.red.
Notortruck fr;mes] Razq gruzovvkh avtomobilei. Pod
red. A.A.
Lipgarta. Koskva, Gos.nauchno-tekhn.izd-vo
mashinostroit.lit-rY,
1959. 231 P. (HIELA 13:3)
(Kotortrucks-Frame)

IMUKHOV, IT.I.
OPIates and disks' b7 D*VeVainberg, Z,D*Vainberg.
Reviewed b7
N.I.Bozukhov. Stroi.mokh.i rasch.soor. 2 no.4:46-3 of
cover 160.
1 .. ~~
... . . (MIRA 13--7)
(ILastic plates and shells)
(Vainberg, D.V.)
(Vainberg, S.D.)

RAYEVSKIY, Aleksey Nikolnyevioh; LOIIIKOV, A.S..,
doteent, kand.
tekhn. nauk, retaonzont;_AKZV1MDY,-1",~ prof.,
dol-tor
tekbn. nauk, retsenzen-t-, MY-ANNIKOVA, Z,G...
red. izd-
va; GARINA, T.D., tekhn, red,
[Principles of the design of structures for
stability]Osno-
vy rauchota sooruzhenii na ustoichivostt.
Moskva., Vysshaia
shkola, 1962. 159 p. (MIRA 15:8-)
1. Kafedra stroitollnoy mekhaniki Leningradskogo
inzhenerno-
stroitellnogo instituta (for Lobikov).
(Structures, Theory of)

GWSHKCYV., Georgiy Sergeyevich., doktor takhn.
nauk, profi BEZUKIIOV
N.I., zaal, doyatell nauki i tokhniki RSF.'R,
doktor tokhn,
~n red.; KOZWV,
.. prof.j, retsenzent; SINDEYEV, V.A.,, Prof.,
A.P,., red. izd-va; UVAROVA, A.F., tekhn. red.;
DEMMA. N.F.,
tekhn. red.
[Engineering methods for strength and rigidity
analysis; idth
the use of noments of high orderelInzhenernye
metody raschetov
na prochnost' i zhestkost'; s primeneniem momentov
vysokikh po-
riadkov. :rzd.2#, perer. i dop. MosWa, Mashgiz,
196-2. 354 P.
(Strength of materials) NIRA 15:9)

BEZUKEQV, Nikolay Ivanovich; LUZHIN, 011gert
Vladimirovich; Frini-
mal uchastiye KATS, M.M.; GORYAGHEVA~ T.V., red.;
KASIMOV, D.Ya., tekhn. red.
[Stability and dynamics of structures in
examples and
problems] Ustoichivost' i dinamika sooruzhenii v
prime-
rakh i zadachakh. Moskva, Gosstroiizdat, 1963.
370 p.
(MLU 17: 1)

ULITJI, Nikolay Sergeyevich; BFIZUKHOY,A~.I.,
zasl. deyatell nauki
i tekhniki RSFSI, doktor tekhn. nauk, prof.,
retzFenzent I
[Strength of materials] Soprotivlenie
matarialov. 1::d,2,,
perer. Moskva, Vy shaia-..
I s thkola, 1963. 301-jp-
4 1 (111ILk 17:6)

VALISHVILI, N.V.; GLUSHKOV, G.S.; DEZUKDOV,
N.I., doktor tekhr.
' retsenzent;
nauk, prof., zasl. doya naU
GARANKIIIA, S.P., rod.lzd-va; DEMKINA, N.F.,
tekhn.red.
(Universal formulas for the design of stopped
bewns] Uni-
versa-llnye formly dlia rascheta stupenchatykh
balok;
spravocl-moe posobie. Mosluji, Mashgiz, 19614.
405 P.
(MIRA 17:3)

BEZUKHOV, N.J.! RAZHANOV. V.L.; GOLIDENBLATq I.!.,
doktor tekhn.nauk,
prof., red.; VIKOLAYENKO, N.A.; SIITYUKOV, A.M.;
SIFITS'111,
A.P., doktor tekhn. nauk, prof., retsenzent
[calculations for strengtb, stability, and
vibrations at high
temperatures] Raschety na prochnost', ustoichivost'
i kcieba-
niia v usloviiakh .-ysokikh temperatur. [By]
N.I.Bez"Ahov i dr.
Moskva, Ma~.hinostroenie, 1965. 566 p. (MIRA 18,3)

GLUSHKOV, G.S.; SINDRYMI., V.A.[deceased3-
BENKFOV" N.I.. dck',or
., prof., zasl. deyatel-?-n-aTiRt'T~"' klu lx~'
tekhn. nauk Le
RSPIV, retsenzent; XOMYLINKO, V.P., prof.,
naucmn. red..;
FUFAYEVA, G.I., red.
[Course in the strength of materials] Kurs
soprotiv2eniia
materialov. Moskva, Vysshaia shkola, 1965. 76?
p.
(Mfi 18;5)

OGIBALOV, Petr 14atveyevich; SUVOROVA, Yu-Ily
Vasillyevna. Fri-
nimal uchustiye IRABINOVICH, A.L., kand. tekhn.
nauk)
dots.; BEZUKHOV, N.I., zasl. deyatell nauki i
tekhniki
RSFSR aoktor tekhn. nauk., prof., retsenzent;
ZIWKOV,
A.F.P doktor fiz.-mat. nauk prof.2 retsenzent;
11'1-'~JISKI'Y, A.P.) kand. fiz.-matem.nauk,
dots., retsenzent;
DC)"-.7)RTSEVA. Ch.I., red.
[Mechanics of reinforced plastics] Mekhanika
a.-inirovannykh
plastikov. Moskva, Izd-vo Mosk. univ., 1965. 479
p.
(MIRA 18:7)

BEZUKhOV, Niko]_,X 1,=,vich; BOCIUjiOVA,
yu.F., red.
[Examples and problems in the Oneor-.y of
(-DAS`-ic~LYI
plasticitY and creep of materiRlVl Frimary
zaditlelli VO
4 -*
'I j polZUC
teorii uprugosti, plastichnos-
Vysshaia shkola, 1965. 319 P. 18:6)

YJ.I.YN, G.Y,..,, P","UKHOV, A.P.
Rf-~4vv:; an.-I Osn,furid. J. mejdt.grun. 7 no.100-32
jAr (MIRA 18:4)
ye

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'AM5013205 BOOK MPLOITATION UR/
621: 539 4,001, 211: 26 4
Bazhanov, V, L ; Golldenblat, 1. 1. (Doctor of
F-Technical-S-ciences; Proressor~; Nikolayenko Nt , Sinyulkov Lill
A., As
1
lCalculatiolp of strep&th~' stability, and Vibrations'under ME te".1-_
j
DeratureVeonditionaNHaochety na prochnost! uot-oychivoett-1-
koTebm=ya v usloviyakh vy.9okikh temperaturl Moscow, lzd-vo
"Mashinostroyen-1ye" 196.5, o566 p. illus,.4 biblio, Errata slip
inserted, 6000 copies printed,
TOPIC TAGS: structure strength, structure stability, structure
vibration., thermal al icity, thermal plasticity, creep thermal
stress
PURPOSE AND COVERAGEi This book.is intended for engineer-designers
and scientific workers* It may also be used by students of cahools
of higher technical education Ps a supplementary text for studying
'AlMethods of calculating the st th.*
the theory of thermal atrespes. Ze
st2CDility, and vibration of structures used in machine--:build jqg
which are exposed to large high-temperature
gradi-en-to-ar-e-ldescribedi

L 55159-65
1AN5013205
TABLE OF CONTENTS.(Abridgad)3
FbreWord -- 3
Basic Symbols 5
Introduction 7
PART 1. THER14OVIECHMOAL PROPERTIES
OF DIATEPJALS. 7H0MAL RBGIONS
,:Ch. 1. General Characteristics of Themomechanical Properties of
Structural Materials -and. Acceptable Stresses -- 10
'Ch. 2, Review of Methods for Calculating Themal RegionB in Rlementa~
of Structures 43
iBibliographi 65
Card

1L 55159-Z-5
A145013205
PJART 11, BASIC EQUATIONS OF THEMAL
ELASTICITY3 PLASTICITY AND CREEP
;Ch, 111, Basic Equations of Thermal Elasticity 66
u
Ch. VT, Basic Eauations of Thermal Plasticityand Creep 102
:Ch, V, Certain Special Problems of the General Theory of Ther-mal
Stresses and Deformations -- 115
PART 111., NONUNIFORMLY HEATED
PLATES AND TURBINE BLADES
Ch. W. Round Plates and Turbine Blades -- 135
jCh. V11, Rectangular Plates -- 228
PART IV, NONUNIFORVILY HEATED
THIN-WALL ROTATION SHWZS
C rd
awn MMMMM-Pft~

L 551-59-65 ----- -
AM5013205
Cho VIII, Axisymmetrical Mastic Deformation of Nonuniformly
Heated Thin-Wall Roz";ation Shells -- 262
I Ch. 1-X, Slanting Tapered and Spherical-Shells 295
Ch. X, Nonuniformly Ileated Thin-Wall Shells Operating in the
Region of Elaztic-Plastic Deformations -- 336
Ch. XI.
Ch, XII,
Ch. M1,
Ch. XIV.
Inelastic Stability of Nonuniformly Heated Ring and
Cylindrical Shell -- 364
PART V. THEPMAL STRMSES IN
CERTAIN SPEC M TYPES OF STRUCTURES
Thermal Stresses in Special-Shaft-Type Structures -- 396.
Thermal Stresses in Principal Structures of Nuclear
Reactors -- 411
Nonur-iformly Heated Thick-Wall ShellB -- 433

L 55159-65
AM501320r-
Ch. XV. Certain Dynami-- Problems'of Thermal Flacticit-
487
Bibliography -- 496
Appendices -- 500
Table of units used In the book converted into International
system units -- 500
~Appendix 1. Carbon steel 501
Appendix 2, Structural alloy steeld'-- 518
Appendix 3,, Stainless acid-resistant steels, 524
Appendix 4,, AluminumAlloys, -- 530
Appendix 5. Magnesium'wrought and cast alloys 544
Appendix 6# Titanium Alloys -- 549

A145013205
Appendix 7, Fiber-glass reinf6reed plaotics 553
Appendix 8, Hyperbolic circumferential functions -- 561
Bibliography 561
SUB COM MMq IE suBmiTTEDi 14Dec64 NO MF SOV-. 276
OTMM: 079
Ic.rd 616

L 3867--66 - Mq10.)/ I? JD/E
AM5023899 BOOK EXPLOITATION UR~f&
Bezukhov, Nikolay Ivanovich
Examples and probletis in the theory of elasticity,
plasticity, and
creep (Frimery i zadachi po teorii uprugosti, plastichnosti i
polzuchesti) Moscow. Izd-vo "Vysshaya shkola", 1965. 319 p.
illus.~
biblio. Textbook for students at higher technical schools.
Erratai
slip inserted. 13,000 copies printed.
TOPIC TAGS: elasticity theory, plasticity theory, creep theory
PURPOSE AND COVERAGE: This book is a revised and supplemented
edition
of the author's previous book (Bezukhov, 14. 1. Sbornik zadach
po
teorii uprugosti i plastichnosti (Collected problems in the
theory
of elasticity and plasticity), Izd-vo "CITTL", 1957). A part
of tho
problems given previously, especially those dealing with bars
and I
frameworks are omitted here. Problems of vibrations of thin-
Walled beams and plates are completely omitted. The majority of
the problems presented in the book are new. Additional examples
are given beyond program requirements which can be used in
seminars'
and by students who are completing their programs and have
special
Sard-1
A

LM5023899
interest in problems in these fields, The purpose of the book is
to give the students material to check their ability to apply
their,
I
acquired theoretical knowledge to practical engineering problems
and to help the teachers in arranging practical training of
st.udents,
TABLE OF CONTENTS (abridged):
Preface -- 3
Most frequently used notation 5
Ch. I. Fundamental equations of the mechanics of solid media 8
Ch, II. Theory of elasticity -- 46
Ch. III. Approximate solutions in the theory of elasticity 132
Ch. IV. Nonlinear theory of elasticity and the theory of
Card
plasticity -- 161
2/3

L 3867-66 --
AM5023899-'
~Ch. V. Approximate solutions in the theory of plasticity 261
ICh. VI, Elements of the theory-of creep 299
Bibliography 316
;SUB COM MEj MA SUBMITTEDI 21Jan65 NO REP SOVt 078
Card 3/3

BEZUKHOV) N.I. (Moscow)
"The carrying capacity of elastic-plastic anisotropic
plates rnder bending"
report presented at the 2nd A1.1-13nim Congress on
Theoretical and Applied
Mechanics., Moscow, 29 Jama:r7 - 5 February 19614

BEZLJKH-)V, V.N.
BEZUKH)VP V. N, "On Ue a ttlement of a plastic layer of
n-incircular form in Ahn".
1--oscow, lqr~r,. I-nscow Order f ijanin and Irdor I,f Lubr
Red Rinnor State U imeni
M. V. Lomonosov. (Dissertation for de.~ree of Candidate of
Physicomathematical
Sciences.)
SI: Knizhnaya Letnots'. No. 46, 12 November 19rr. ~.oscrw

BEZITKHOV T.11,4T.--
Tow of ninimum pert"aterm under conditions of froe
sottling of
plantic layerR. Nauch,dokl.vys.shkoly; qtroi.
no-1:13-17 159.
(MIRA 12:10)
1. Rekomendovana ~mfedroy tooreticheekoy vnekbaniki
Vannayusnogo
znochnngo Inobenerno-stroitellnogo instituta.
Ollastic platen and shells)

BEZUKHOV, Y.N.
Characteristic dimensions for polycrystalline
substances in
the theory of elasticity and plasticity.
Nauch.dokl.vvs.shkoly;
ntroi. no.2!115-119 159. (MIRA 13--10
1. Ralomondovana Imfedro7 tooratichaskoy mekhaniki,
soprotiv-
leniya materialov. oanovaniy I fundamentov
Vaesoyuznogo zaochnogo
inzhonerno-stroitel ,nogo instituta.
(Plasticity) (Elasticity)

S/191/63/000/002/010/019
B101/B186
AUTHORS: Koltunov, M. A., B ezukhov, V. N.
TITLE: Creeping and relaxation of polyamide resin 68 in one-
dimensional stretching
PERIODICAL: Plasticheskiye massy, no. 2, 1963, 31-36
TEXT: The problemnaya laboratoriya fiziko-mekhanicheskikh
svoystv
polimerov mekhaniko-matematicheskogo fakullteta Moskovskogo
goeudaretvennogo universiteta im. M. V. Lomonosova (Special
Research
Laboratory for Physicomechanical Properties of Polymers of the
Division of
1,1echanics and Mathematics of the Moscow State University
imeni M. V.
Lomonosov) tested the mechanical Properties of polyamide resin
66 for
machine parts subject to stress and high temperatures. The
d-versue-F-
curves for one-dimensional stretching were plotted between 20
and 1100C.
a is directly proportional to F_ up to a relative elongation
of 60io. This'
linear curve section ending with a p is followed by an intense
flowing at a
IV,,*' higher value, of,, and rupture occurs at at, the
time-dependent
Card 1/3

S/191/63/000/002/010/019
Creeping and relaxation of ... B101/BI66
resistance. Hysteresis was observed under alternating stress.
Irreversible
flowing occurred above CY The followine equations hold:
f* 2 0
Of - (5.16 - 0-033t/to)dm, where am IOU kg/cm. , to . 1 C;
E - (30 - 0.665t/t + 0.0038t 2/t2)E where E is the elastic
modulus,
3 2 0 0 0
E0 . 10 kg/cM . The after-effect is expressed by:
Er - 17"3(a/dt)2 + 0.245(d/dt) + O.Ij (6/at)y(t) In(-r/,ro +'
1), where Er
is the residual plastic deformation, T time,
To a 60 see, 6 - 470 kg/cm 2, and Y(t) const - 1 at t _< t0
#j t (t/t0)n at t > t0; n lzr, 4 -
A function of the form F(ers cr, T) - 0 is derived for the
relaxation curves
on the basis of the aging theory, and the following is obtained:
c/crt dz/z2(az2+ Pz + 7) - (E/0 0)y(t)ln[(T + To)/Tol. For
resin 68, the
f
0/0t
A

S/191/63/000/002/010/019
Creeping and relaxation of ... BIOI/B186
coefficients are a - -1.3, P 0.245, 0.1,
i at t < 50 oc - to
if M (t/t0)4 at t > 500C Since the function E r (I't)2 ('r) is
not linear it is possible to find a functional relationship
between
stress and deform'a'tion in the classical Boltzmann-Volterra
form. The.
equations derived are therefore recommended. Conclusion:
Resin 68 can be
used when the time limit of creep of work is in the order of
102 hrs, the
upper temperature limit 80-1000C, and the maximum stress 0.1
of Crt
calculated for 200C. There are 10 figures ILnd 3 tables.
Card 3/3

KOLTUROV, M.A.; BEZUKHOV, V.N.
On the thermomechanical properties of caprMw*
Vest. Mosk.
un, Ser, 1:Mat., makh. no.6:51-61 N-D 16~.'
(MIRA 16:2)
1. Kafedra teorii uprugosti Moskovskogo
universiteta.
(Nylon)

i~~ ~
Kib I - 'I M, . P . '~ -~~ t ; :, -1., , ~,' .
, 7 r. , . . -
. f- T* ~ - ". T, ~ !- - r a 1. j --; : ! 1 f7 . 1. ,
, i " '. " :, * u , , , , :: ~ 3 *,, -4 , " " ~- 7 -1
-
Modeling L;._ . I * - I .: Iti
Im . a," T . ~ ~ ".. n - . -; ~ 2, '34-3 j ( %; ~ "I
-~ ,, -, "
J "

DA110A
Hazuhovic-Glavinic, Danica. Neor;-anska hemija. Za
hemisko-tehnolosk-i otsek
industrLskili sreCinjih telinickih skola. Umnozano kao
rekopis. Beograd, .4-nanja,
1950. 376 p. (Inorganic chemistry for
(-Iiemicot,3chnological classes of the
middle industrial techhical schools. Diagrs)
SO: Monthly List of East Europ--an Accessions, LC, Vol.
.3, "o. 1, Jan. 1954, Uncl.

USSR/Zooparasitoloay - Insecta.Mitco and Innects -
Transmitters G-3
of PathoGenic Agmits.
Abs Jour : Ref Zhur - Biol., No 16, 1958, 72330
Author : Ryabykh, L.V., Bezukladnaya, G.S.
Inst
Title On the Fauna of the mosquitoes of the Genera
Accles and
Culex in the Zones of the rrotective Forest Belts and
the
Open Steppe landscape of the Voronezh Oblast.
Orig Pub Z001- zh-, 1957, 36, No 8, 1205-1208.
Abstract Culicid fauna on the territory of'-the
forest belts of the
Berezovski and Talovski Rayon, and also in the 5toppe
of
the Talovski Rayon-, Voronazli Oblast, is represented
by 13
species (of vhich 11 species arc Aedos and 2 species
Cu-
lax). In the zone of protective forestry
thesemsquitoes
are predominant: Ae. excrucians, Ae. mculatus and Ac.
corxmis. On the open landscapes Ae. dorsalis, Ae.
excru-
cians, Ae. flavescens, Ao. cinercua and C, nolestus
are
Card 1/2
- 17 -

I USSR/Zooparasitolo_ry - Mites and Insects -
Transmitters of G-3
PathoL;ciAc AC;entc.
Abs Jour : Ref Zhur - Biol., No 16, 1958, 72330
more numerous. The sequence of the appearance of-the
different nosquito species durin(; the season was
consi-
dared. -- N.Ya. Markovich.
Card 2/2

BEZUKLADNAYA, G. S., POKROVSKAYA, E. I. and
HYABYL11, L. V.
"The Repellence of 1-ACYL Tetrahydroquinoline
(IiP-99) and Mixtures
Based on it (RP-201, IT-209, and RP-220) In Respect
to Mosquitos
Under the Conditions Prevailing in the Forest
Landforms of ioronezh
Oblast'."
Tenth Conference on Parasitological Problems and
Diseases with Natural
Reservoirs, 22-29 October 1959, Vol. II, Publishing
House of Academy of
Sciences, USSR, Moscow-Leningrad, 1959.
Voronezh Medical Institute

RYABYKH, L.V.; BEZUKLADWAYA, G.S.
Studies on the effectiveness of the repellent
activity of
dimethylphthalate, RP-1 and RP-50 on blood-sucking
mosquitoes
in the Voronezh region. Med.paraz.iparaz.bol 30
no.2:218-
220 Mr-Ap 161, (MIRA 14:4)
1. Iz kafedry biologii Vbronezhakogo gosudarstvennogo
meditsin-
okogo instituta (zav. kafedry - prof. Ye.I.
Pokrovskaya).
(INSECT BAITS AND REPELLENTS) (MOSQUITOES)

9(6)
-(g

.
vruox,
A.141.cl. r. I.. SAgi...

TITLX,
fte
Int.-AI-rolty Scientific Conference

0.
Al..t"1
&I Measuring Instruments and on the
Technical

:
K.M. of A I ... tio. (M.wh,.2.,m,ksY&
.... hnqa

konfe-taljo. po
*loktrojz=*ri%.l'nyv priboraum i

tkhaiahoskIn mr,odmtvass artomattki)

PIRIODICALs
Fr1barcm-rcrwmiy*, 1959, Ir
5. pp 30-31 (USSR)

AASTRACT.
This
Comforonze was bold at the LoningmdskLy
elektrotokhmichoshc~y

I stit-t 1-. 1. 1.
UPY--a (L..i..) (Leningrad Ins-tit.t.
;

0
81sotri..- ZACIU-Ig im..1 r. 1. Ul-y-
(L-1.1 ) In

Nortzber 1958. It was
attended by more than 5D0
representatives

of "I r.s.-Ch
institute&. of the OXD,

the M_i 6. Of fi*
,f
!

:
t.
0aL'A .. X.r. th" 34)1raw ord.....
=

2
t*
aSo I.C. of this Conference. In opening
the conference

IP Borodl -~kljr
ucd~srlinwd the outstanding i--,orbwm
cf -to..t,_

." ;f ..-I metfor the d ...
lo;..nt of ..ti ... I

-...V.I' I.
Shunilcw4kly In big lect,re repart
d an

-?be Trend, 11 the 11,1,1* f
9.11.4. of RaAL active
:

CW4 1/5
f ,_'J..
Control .-d d the

VossIbi 11%1s. of .1.6
-thod. I. o.h Control

I,. and S. A.
3,.ktor reported on - now
,~
Q

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i - h*-y direct c`rr*nts with the help
*I
TA

.is- ....motio
r, so,
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3oz-blIt 1":.tigated

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proUcam heIlic 'I j . .,I.-"ifir.in
4
p

m
V. F-t.X-1
la
.uring tvch~1qu.
A.

::
jb
reported a. the yr. t-dy state
..-my.dtm of
p

automatic control technique. To. Z.
Tapkin law**-igated

*-. feet-.$ of and
the prospect. offered by

out-tin V.1"
The lmi.t~. by 1. G. ZcldYrv~

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discrete Yet.... T!,-J. so, ... Pt.-
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P1.

of f...,l ...b, ch." be -3, r*...t.d
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Investigated new coaPuti
p
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TTo. M.

d
I~.- lo
s
r
d
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11, 1*001
l

s,-tow-tlc
t-nt ran .~
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is.tto and
,b

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&.to
_;!

tr.li.*4 control of yroductiIta

d-i-.bod f"d--t.1 Vbis, of
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instrument. ith 1.1-

for tho of q.-titi
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.. ... I, ith probl... of the
--t-CM i

ankostatia 4. c.
potentiometersith high accuracy. D. 1.

"IQ, di.-...d . bigh-pr.cisi.u d. c.
bridge

t-tIciVan's in the C.
t
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-
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for 4, 1T

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listed be 00 -- t--iug -bJ~"x (which
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h.... r, act gi... by th; .act -d1-4
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P= - 2
1:1.4tr Sti-t1fl. C-f.roaa.
I' ' 'I "' '-9 -d an the Technical
$011119-59-3-15/15
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. M;&ror-k.. digital a..p.t.ti_
;
if diume.-ti. 08.111.0c.p of
d.s.,.Iaic, he 4Y-10 error.
problem. 1. soat'j.4 .1. . V Ej.p.
or..taki,,
fr quomejtg bJr trio q..ntlli A I..
electrical indicating 1S.to.t. of ra,L_
W:1-0. - T. 1'. 50--l types or
CO.P.4-tor.,
A' a' X-1'Akg"t*' L't-tio bridge. -d
.. .. ZaIp.hoa%ar.
i7-1'44 for the -46.t-l If the
Yar-t.r. If :Id:n or. I.
ear1q. pr.4u*ti.a. Bt.L,,, Inc. t r,
tic. of
de't IZA ation Oto,.L-.,hCh I" be "asd
I.
UO
to -uring
pr:h`iq"d S-r-dAf- 71tran-jo
081r,;"d It td 1-1 gap#. r.. A.
Skrip.1k, Th.
alr..,try of
a- O;.s*mt;*qVp=* bridg.s. X. r.
SoTido T
flit" . h p - ."'
..... tic bridge., h t
r.b 91 1 .."on Of the d-111- If
tr"1&p;&rtu&
and tb. ..a I. *
the a . . . . . . .t of
card qu"tiLise. T. JL. F"-t,. method of
4/5 fisa.i%llity It a.. anelg..r.. P.
I. 5~'Itwxijy,
-Vwsfgx Of &Pparatua for x-jr4 ritratl
quentiti.m.
,V; Wa %JrPO- Of -0--linear
*I ago and Vo.mlUjli%t.. of %h.jr
&,;)ligation to
is .11r7 In ontomation, "a a."-Lza
GZAGAm WYO of a-lg -VLLfLer. Lth
Z",; I.4-tar trid*o. To. V. 1. A. Wig-,
,;;1u:, Lfas" 'yor, To. I. Ugr,(=avt
Ptoci&iod famiguaductor
"j, motor p...tLg aa~ordiag to the
V.2-4-tind
In Lple. F. r. SuitiA and A.
9*-'uk.4&401kovl Methods of
of bismuth
:;124 the magnetic field 'arre'r.9 I
IT"
"A tr-aducar. oper,tting go the Hall
effect
I:; A resolution sam d.ps;d bj 1b:
slo:iza Plenary
meeting t.. bl.h .4 test. ey of
and .. rd ..tlog a.1-tifi. ark 1. the
fi. It of mutm.ti.A, electric -lag- -4
~Mp.%I.g
toohn iq-.
Card 5/5

BXZUKIAMVMV, A.B.
High-temperature chlorination of ilmonite concentrate.
Zhur. prild.
khim. 33 no.6:1240-1245 Je 160. (MIRA 13:8)
1. Bereznikovskly filial Vsesoyuznogo
alyuminiyevo-magniyevogo instituta.
(Ilmenite) (Chlorination)

05/590/61/000/005/004/010
D040/-D!13
DC!:~!.111-1,10mil:cv, A.' and Vil I ayanskiy, Ya. Ye.
0-~, --'alnium dioxide chlorina'i 01-1 4 n ~oltcn chlor4cles
nalllc "'R. Inotitilt 1-.IotL.Ilurci~. ?"nn 3
j A- u
4 1 -, 4'1
1"'l. '7ctallm~;-Iya i khimiya t 1 6 D.:, C.
u D 0 to
0 C, 110 1- a -.-I d C, x-j ~2 -n c o i i c en t rz~ t i o n n
d c f fe r --u z n a a :L
c o I e in the chlorinat--cr. process of
a t o 1 o 4.r. a of !.-.olton chlorides; this ef-fect not
det='Jincd
iti-l- mat-o---ialo iwod -.-,,era: carnallite .-ror, --ou-
"ither"O. T'- c --n,
-)c~t- z4u-, a.,d cl-ilori-de obtained b-, lot m-~;ncsium
rod-,,zc-lJCn-`f
alu7.-L,u- ch7 oride; Ound -lot-"olellm col:e; Fc'! , and Pecl-
-.)rodace "a 0-:,
me'all4c 41-on in carnallite; TM, boilet fo--n 'U-ao Lurs in
hyu'~O-
u u
chloric acid and rinacd in dii-,tillcd -.vator to"wash out-
chlorine ions; cc:::-
,to,l y.,4-*11
and L.,GLn. UnL'ilutcd chlor."ne, Cjjj,)rj-
Card 1/3

-,tics of tij.
'o 1:'lir DO,IC,/Dll3
11-7-, i-I 1.110 re'-C.",ion voosol. cb'~ Z, v t
1 4
On C: _-I
cl:--~L,,l----,-.""!o c';-,l-O. in '1110 rato
in r "::0-
ar~:c_j to 110"' OOjjCe!j-'-ratjo!-j, J)Ul 11'1.11,~C-O
slo-.-Ted the c;-Iloi-lnation to a half of the r-nte. Dilution
of c'llor-;~c- r
4C 0
cc Z above 1 Ujj ado d the _ -.-I C t 4 o I, I) C, 1 7 1
7jut t--ed-."ced the 0 a " 4 1,
0 a C,,.10~,ina14 e s. Inc- C
d nn 0 .00 3
I CU I - in the molt speeded u-.) the chlorination in a17 the
-t,,zdic-l V/
cond-~-.0,113 aii~ these chlorido~, -.)roved to be ca'al- z;'s.
A o C,7, -d e 0 -
of tOCj---4C-jUoS an n
_ a C L Ca o
U a~ 0 L a,- D
--4 si ons : 'l) '211c ::-atos of -pot"o"
Z- 0 a c t c, c ciz
-t-,Dnf,. _:a
el- or-;
Ca--2-1~1-t4 '-a
ent"ally temptrature and are -aithin tho kinctic i a I d
C'L 1 c t --, ~l t i o nin r-,-.c lo-~,,ored bclo-,-, !,LTiS
oloac L)wi, the
f Cl-,Ior- IL,.t4 0',
0) -en content, in Cas mi~:ture above d o -an the chlz)ri--
n-~!,Uicn -orccoso; (A) Additions of ferrous and aluminum
chloridlos racise the
Card 2/3

s 159 C/O C,5/C,,),':/01 0
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S/086/61/034/001/007/020
22, 0 0 ID91, 10'1S, 115T A057/A129
AUTHORS; Bezukladnikov, A.B., Villnyanskiy, Ya.Ye.
TITLE: Effect of the Chlorides of Iron and Aluminum on the
Chlorination
Rate of Titanium Dioxide
PERIODICAL: Zhurnal Prikladnoy Khimii, 1961, Vol. 34, No. 1,
Pp. 49-53
TEXT: Chlorination of titanium-bearing slags in molten
chlorides (carnallite)
is currently being introduced into industry. Amongst other
questions the
effect of iron and aluminum chlorides on the chlorination
kinetics of ti-
tanium oxides is important. This question was investigated in
the present
paper and the results of laboratory experiments are presented.
Chlorination
was carried out with 10CP/a chlorine gas at 500'-900'c. 150 g
carnallite
(0.20% Mg, 0.0005% Fe and 0.001% Ti02)o was mixed in a quartz
tube with 1.6 g
dried petroleum coke and melted at 700 C during 1 hr,
introducing chlorine
gas at a rate of 4.5 l/hr. Then a dried mixture containing 1.6
g Ti02 and
0.4 g coke were added after adjusting the heating to the
temperature of the
experiment. TiCl 4 evolved was absorbed in diluted H2SO4. The
chlorination
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225?~
S/080/61/034/'001/'00*7i, 020
A057/A!29
Effect of the Chlorides of Iron and Aluminum on the
Chlorination Rate of
Titanium Dioxide
kinetics was investigated without additions of PeCl or AlC13,
Reaction be-
tween the latter and suspended Ti02 particles was sludied by 0
h1orination of
molten carnallite (containing 2 g coke) during 1.5 hr at 750 C.
After this
period carnallite melt containing FeCl 3 (10 g) or AlCl; (24.6
g) was added,
and after 10-15 min the first sample was taken. Then g Ti02 and
I g coke
was added and 3 g samples of the melt were periodically
analyzed. The ob-
tained results demonstrate (Fig.2) that in the first 15 min at
low tempera-
tures (5000 and 6000C) the chlorination rate is high. This
stage of chlor-
ination was not taken into account in calculations of the
medium chlorina-
tion Tate (Fig-3). The results indicate that chlorination rate
in the molten
carnallite depends on the temperature of the bath. Accordin.g
to the slope
of the curve 1 in Fig-3 the authors assume that chlorination at
the investi-
gated temperatures occurs in the kinetic range. Dependence of
the chlorina-
tion rate constant on temperature is given byt log K - 4.114 -
11,200/4-574T
(11,200 - apparent activation energy). The results obtained for
the chlor-
ination of Ti02 with FeC13 and AlC13 admixtures (Fig.4 and 5)
demonstrate
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S/08b/W034/001/007/020
A057/A129
Effect of the Chlorides of Iron and Aluminum on the Chlorination
Rate of
Titanium Dioxide
that the chlorination rate increases with the concentration of
these admix-
tures. A considerable increase in the FeCl 3 and AlC13 content at
the end of
reaction indicates that exchange reaction according to E.I. Krech
[,Ref.l:
ZhOKh,VII,8,1249 (1937)] may occur. Experiments on the chemism of
the reac-
tion show (Fig.6) that at a concentration of 0.4% Ti02
practically all fer-
rous chloride changes into ferri chloride. With decreasing Ti02
the FeC13
content increases. Apparently the following reaction takes place:
4 FeCl3 +T102+ C ) T'Cl4 + 4 FeC12 + C02, 2 FeC12 + C12 ----w 2
FeCl Ex
change reaction with AM (Fig-7) occurs until A1203 is formed. hth
de
creaq4ng T102 concentration the content of AlCl increases due to
the chlor
3 l
ination of A1203. Thus AlCl3 and FeCl3 are cats. ysts for the
T102 chlorina-
tion. Catalysis of iron compounds in chlorination of oxides was
observed al-
ready by Ashkroft [Ref.21 V.M. Gus1kov, Sistematicheskoye
sobraniye patent-
ov
(systematic Collection of Patents) GONTI (1938)]. Chlorinations
of Ti02 in
0 0
carnallite malt at 500 _goo C with 2% FeC13 demonstrated (Pig.3,
curve 2)
that at 6800C chlorination changes from the kinetic to the
diffusion range
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22526
S/0130/61//034/001/007/020
A057/A129
Effect of the Chlorides of Iron and Aluminum on the
Chlorination Rate of
Titanium Dioxide
and the apparent activation energy decreases from 7,340 cal to
770 cal. The
obtained results indicate that above 6800C intensification of
mixing of the
melt is advantageous since a better mass exchange takes place.
The chlorina-
tion rate can be increased not as much by raising the
temperature, but by in-
creasing the content of_FeCl3 or AlC13 in the melt. There are 7
figures and
2 references: 2 Soviet bloc.
ASSOCIATIONS: Bereznikovskiy filial VAMI (Berezniki branch of
the All-Union
Aluminum and Magnesium Institute) and Urallskiy politekhniches-
kiy institut (Ural Polytechnical Institute)
SUBMITTED: February 24, 1960
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8/080/62/035/011/002/011
D444/D307
AUTHOR, Bezukladnikov, A.B.
TITLE: Chlorination of titanium slags in fused carnallite
PERIODICAL: Zhurnai prikladnoy khimii, v- 35, no. 11, 1962,
2380 - 2385
TEXT: This is a promising method for the industrial production of
titanium tetrachloride. The present work gives results of a study
of some factors influencing such a process. The slag used contai-
ned 82 ~ TiO 2, 4.24 A12039 3.86 Fe 20P 2.1 SiO 21 1.7 Mn02,
4.12 MIgO
and 0.3 V. The reducing agent was petroleum coke (97 ~v C). The
re-
action was effected in a stirred quartz vessel. TiCl 4 vapor was
ab-
sorbed in dilute sulphuric acid, the titanium concentration in
which was taken as the measure of the chlorination reaction. The
reaction rate fell sharply as the coke particle size was
decreased
from 800 to 50 p, but a further decrease to 25 Ii had little
effect.
The outside of coke particles is more active than their inside
sur-
faces; ionic oxygen or oxygen-containing groups probably
participa-
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S/080/62/035/011/002/011
Chlorination of titanium slags D444/D307
te in oxygen transfer to the latter. The rate of chlorination
of
TiO2related to unit surface of slag particles fell as the
particle
size was reduced, probably owing to chanfes in physical
properties
(e.g. apparent viscosity) of the suspension. The overall TiO
2- chlo-
rination rate rose when slag rd coke particle surface areas
were
increased to 7000 and 9000 cm respectively, per 90 g of melt,
falling with a further surface increase. An increase in the
con-
tent of dispersed silita in the melt reduced the chlorination
ra-
tes. The rate of the overall chlorination process is
controlled by
convective mass transfer in the melt. The optimum slag and coke
contents in the melt depend on particle size, There are 5
figures
and 2 tables.
ASSOCIATION: Bereznikovskiy filial Vsesoyuznogo
alyuminiyevomagniye-
vogo instituta (Bereznikovsk Branch of the All-Union
Aluminum-1-Tagnesium Institute)
SUBMITTED: AuGust 30, 1961
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3/080/63/036/002/016/019
D204/D307
AUTHOR: Bezukladnikov. A.. B.
TITLE.- Chlorination of titania with alurainum chloride in
molten carnallite
1963, 451-453
MIODICAL: Zhurnal prikladnoy khimii,
36,
v.
no.2,
TaT: The author used molten carnallite containing 74.94, of pure
AlCl and 0.011% Al 0 T containing W 0.0014 Mg, 0.0014 Cap
3 2 3 '02
0.049 Si, 0.007 V,