Design and Stress Analysis of Extraterrestrial ... - The Black Vault

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a a I a A4l "• dr; P= pr dr idy; AW =-P -- prdr d•!, 2 2 .1! (Q +-dQ) =(Q+ dQ7)(r +dr)dr d?. I" +Afd+oi4.) '"i Ill a . 0 0 Fig. 2.50. (a/ A plate element. (b) Projecting all forces acting 6ob the element (see Fig. 2.50a) onto the z-axis, we obtain S Qr do (Q +4QlQ(r + 'Ir) (kj -pr dy(r , SI hence 'II 0167 'pr. (2.57) I
I I ! ! I !, . J We establish the sum of the moments of forces applied to the element relative, to the y-axis,, tangent to an'arc of a circle , with radius r and the middle plane (sqe Fig. 2.50b): d~r Al-rdy- [(,4-' dMr) - (r-'I dr) dyl 4"- pr dr '- -- T '--,ý--drsiln •! (Q-4-tdQ)(r+dr)dydr-O, ' I or, disregarding quantities df the highest order, we obtain I -:I !I * (2.58)' I If we substitute M and M from expressions (2.53) ipto (2.58) r and assume that plate rigidity D is constant, we obtain rot + I I I, I r D 'or i '""* ( 0 y.1Q r ------ ,' , , (2.59) SI " I ! which qan be checked by simplDe differentiation. i/ ,I!•I 1 If we allow ror dependence (2.48) e = -w', equation (2.59) can be represented in tile fQrm ,r'j 1 ! I 1 ' ") (2.60) Finally if we substitute Q from equation (2.56) into the right :side .of equation (2.60) then after certain'transformAtion we find, finally I , , SI16 2 * I168 .
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FTD:-MT-24-1462-71 FOREIGN TECHNOLO
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tUNCLASSIFIED - Security Ct-9-1uifl
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t IABLE OF CONTENTS U. S. Board on
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5.2. Ion motors ...................
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II jah _X JOLIGAETECbtSODN USA N NL
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,.is the calculation Of thermal str
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S1 In stress analysis the calculati
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"I 3 f !7 2 II 3 I 44; a ' 3 I 4 2
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)I requires special protection of t
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electrical power of the power insta
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Extraterrestrial motors in power fr
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S1' , . that a part operatesbefore!
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Fig. 1.3. Diagram of an ERE with me
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Table 1.3 shows the working media,
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I I The schematic of a nuclear ther
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Fig. 1.5. converter. Diagram of an
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The advantage of this arrangement i
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A complex system or any part of it,
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I I Stages and content of operation
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'the use of earlier systems and uni
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Structural diagram of operations Th
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. . . . . __.. . . . . .. .. . . .
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-- indication of state, transmissio
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Stages ERE, I. Analysis of the tech
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Space vehicle (SV) jParts jettisone
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Spc veil (SV)!- 0 4. ho 0. 4)Z - H4
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~tto 4- jo 0o (utd~nb 'Sa vtho- 4)i
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'Li However, 'this list can be chan
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- S developed. Or course, there are
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Sthat From the design and operation
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As the number or tests builds up-an
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II P 'Po. = -ý SFig. 1.20. Curves
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Stress is the intensity of the inte
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strength criterion only when even s
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JV Strength- reserve is the ratio o
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'2 1 I III I, . - I - S We know tha
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i J However, when the operating tim
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Plastic deformations in the latter
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Let us examine the basic design rel
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I I The constants B and n are deter
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Along with equation (1.18) we use e
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Iftesting continues, as shown in Fi
Page 86 and 87:
I I Based on the known deformation
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6%Fx (a) Fig. 1,31., Uniaxial (a) a
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The element is in plastic state (1
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Total operating time of the sample
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I:! Substituting expression (1.35)
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Function B(T) is found after determ
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first We shall express stresses in
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etween it and the stressed state of
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a) b) c) Fig. 1.36. Determining the
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other conditions being equal, the c
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The fuel elements also rest on a li
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As the reflector and moderator in t
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Let us examine the examples of weld
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Between these shells passes a fluid
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The procedure for welding a two-lay
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A fuel element is a closed pressuri
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1 2A S(a) II • • /Fig. 2.8. Con
Page 120 and 121:
The reflector material 5 (beryllium
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Figure 2.12 is a sketch of a fast n
Page 124 and 125:
I. ! ~ ~~. . ........... li .... I
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I jZ ICIS qo 'Im klol
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THERMAL STRESSES IN FUEL ELEMENTS T
Page 130 and 131:
Ora-O"when r=a; when r=b. (2.8) Sub
Page 132 and 133: I The exponential logarithmic depen
Page 134 and 135: I I of the cylinder between two adj
Page 136 and 137: EuI~, 21,2 Eat, • bb 2-(1 ---xInb
Page 138 and 139: -a - Fig. 2.18. Thermal stresses in
Page 140 and 141: I a It is necessary that n > 1l. If
Page 142 and 143: The locus of points equidistant fro
Page 144 and 145: Equations of equilibrium for an axi
Page 146 and 147: Fig. 2.23. Equilibrium of a shell e
Page 148 and 149: :I I I I The first equilibrium equa
Page 150 and 151: The wall stress of this sphere is d
Page 152 and 153: I These formulas enable us to plot
Page 154 and 155: . . . S_.. I i. stresses. Maximum i
Page 156 and 157: Shells in the reactors which we sha
Page 158 and 159: axial stresses. Simplicity fully Ju
Page 160 and 161: abl-ab (R+AR)d-•Rdf AR ab Rd? R (
Page 162 and 163: V 1! II Point 3 corresponds to the
Page 164 and 165: SI Now we seek the pressure of the
Page 166 and 167: !I As is apparent from Fig. 2.39, t
Page 168 and 169: I I I I '' 9 capacity of a shell in
Page 170 and 171: SI a i f fit~ Z.rl -= •.r nl--~ ~
Page 172 and 173: We plot the unknown curve p = f(AR)
Page 174 and 175: -.. -, 7 ''°-^ ...... I}" L7,50s.
Page 176 and 177: I" Table 2.2. (Cont d) (1) V(. )3 (
Page 178 and 179: W/ dr (2.48) "The sign is negative
Page 180 and 181: Ve designate th6 relaitie -momenits
Page 184 and 185: '(2.61) or in shortened form, V 2 V
Page 186 and 187: 4i In this case, the constant C2 in
Page 188 and 189: will be If the external force is co
Page 190 and 191: I W -P [(a2 -I a +(•1 -r2)In a ("
Page 192 and 193: +) If we find that Wmax • h, the
Page 194 and 195: I I W c I , I- a , I. ' We cut the
Page 196 and 197: - (0,,i66.0,239. 10-6-0,484.0,33. 1
Page 198 and 199: -n I I I I Pig, 2.56. Determining t
Page 200 and 201: In some cases, it is assumed that t
Page 202 and 203: 6e, I Smat a a SI r.+0P6h2a .. 'fro
Page 204 and 205: In designing a source it is necessa
Page 206 and 207: removal, for example, in a containe
Page 208 and 209: - 2d I I I ______ -. - I 2o ( 'I Z
Page 210 and 211: Ir dp;- N,= N, .(-N,,lr d$ + d (3,I
Page 212 and 213: It is perfectly obvious that the el
Page 214 and 215: dr dr, dMr, dr2 d, d2or 1 3 dr dr "
Page 216 and 217: I ! i I I The quality of the device
Page 218 and 219: The mirror surface, in this case, i
Page 220 and 221: Fig. 2.69. Thermal trap with contro
Page 222 and 223: i ffased on this factor, fuel eleme
Page 224 and 225: In extremely small pores (pore c) t
Page 226 and 227: why fuel elements with a solid elec
Page 228 and 229: Peazeemnl (l) Fig. 2.73. A regenera
Page 230 and 231: I. II As a result' of the- process,
Page 232 and 233:
'4I '21
Page 234 and 235:
U k IIl + (n2lpiim)() Fig. 2.78. Co
Page 236 and 237:
I I I I Figure 1.3 shows one of the
Page 238 and 239:
• C a is the axial velocity of th
Page 240 and 241:
Figure 3.1 shows working blades of
Page 242 and 243:
Fig. 3.11. Union of disk with shaft
Page 244 and 245:
I *1 warping, the material of the h
Page 246 and 247:
(a) (b) Fig. 3.6. Dry-fri'ction bea
Page 248 and 249:
ing groove, and through the incline
Page 250 and 251:
I '' S Albng with the variation in
Page 252 and 253:
Friction and wear in such a bearing
Page 254 and 255:
The transition from the oversaturat
Page 256 and 257:
O a) CO- 4) U'% 0 4Z Oo .~ 0 t'24a)
Page 258 and 259:
I _____ ', "I I The Na-K pump consi
Page 260 and 261:
E- W2l.i rx.
Page 262 and 263:
w is the angular velocity of disk r
Page 264 and 265:
; I ' | * * I I j I l7 I II I' *
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and, finally, dPa 2.ir( 2r a dr z z
Page 268 and 269:
Flexural stresses at any point' of
Page 270 and 271:
Another means of unloading consists
Page 272 and 273:
0 I I I In cae wetakii CO/7eHU~e *1
Page 274 and 275:
Determining the frequencies of inhe
Page 276 and 277:
Differentiating this equation, we f
Page 278 and 279:
Equation '(3.?5) is a differentiale
Page 280 and 281:
Functions S, T, U and V during diff
Page 282 and 283:
1 JVQP (3.30') Fig. 3.24. Forms of
Page 284 and 285:
Then the bendinv moment is t ! ! EI
Page 286 and 287:
'!..... " - ;-~ .- .-.. ~ - - J I T
Page 288 and 289:
Figure 3.25 shows the operation of
Page 290 and 291:
2 I ' whe, For plottfng the donvert
Page 292 and 293:
satisfies the bounaary conditions o
Page 294 and 295:
- o0 CC 0 CL P% c - t- -. C4 t C Ci
Page 296 and 297:
The angular velocity w Aof natural
Page 298 and 299:
I. Each of the harmonics of the ang
Page 300 and 301:
At each of the points of interse-ti
Page 302 and 303:
The actual frequency of natural ben
Page 304 and 305:
1 I i , II ' t S S "•< i, I S, 3.
Page 306 and 307:
(In view of the smallness of angle
Page 308 and 309:
dr dr r d• _._._.• .d~t 1 •t-
Page 310 and 311:
7WI - For conical disks equation (3
Page 312 and 313:
Hyperbolic disks. If the, thickness
Page 314 and 315:
o•/. or Oer 17,0 5,0 16,0-2 4,5 5
Page 316 and 317:
- 0CX=, 9 - 280- 270- 110 0,15 __ -
Page 318 and 319:
11 0,7 2,- 7,5 - '2,4- a'l 0,5 02 0
Page 320 and 321:
55- . \, 105 50-100 45 ' 95 S85 "J
Page 322 and 323:
Let us examine two cases: disk) and
Page 324 and 325:
4. 100 0,6- WoO, ~: 1 0,94 493,8 3,
Page 326 and 327:
0,7 3,3 -3,3 0,6 -3,2 0,15 3,0 2,9
Page 328 and 329:
f~rc 200 -PC.; 190 40 170 30 I/t 0,
Page 330 and 331:
a) arB 0 if the disk does not bear
Page 332 and 333:
I I I I II I , Substituting this so
Page 334 and 335:
Z= lz 1 x _-, 9 S1- 0,TF,1 o~ 5o o
Page 336 and 337:
ii 0,1 42 0,3 ,4 0,50q6 0,7 08 0,9
Page 338 and 339:
The expression for a* is obtained f
Page 340 and 341:
, The'actual stresses on the bounda
Page 342 and 343:
ý4.1 j L. - - c* m oc ~ .7 lira___
Page 344 and 345:
C,4 C4C4 I IC4) CI tz +3Il + + CC.)
Page 346 and 347:
C.. C4 0 C4 C I -T I -J . C :.d C?3
Page 348 and 349:
Widely used methods are those based
Page 350 and 351:
Solving the last equation relative
Page 352 and 353:
Substituting the difference (awl -
Page 354 and 355:
0 g h•con- - o7 g , 0,7 .Op • o
Page 356 and 357:
iJ relaxation) occurs and with stea
Page 358 and 359:
In the examired theory during plast
Page 360 and 361:
Let, us p w I I ! • Let, us proce
Page 362 and 363:
Rupture sets in only when plastic f
Page 364 and 365:
£@ 1 hdr .1 (o) hr r(3.102) Usuall
Page 366 and 367:
I Since the shaft is elastic, then,
Page 368 and 369:
I I SI hence r M! rad/s ,(3.104) de
Page 370 and 371:
y ii y0 \ 1 0-1 H t ieemNw idn 5ai7
Page 372 and 373:
Critical angular velocities- of a s
Page 374 and 375:
We assume that the disk and shaft a
Page 376 and 377:
Expanding the determinant of (3.113
Page 378 and 379:
y=aP-P+a, 2 M; a 21aiP+a22M# (3.119
Page 380 and 381:
(1) ((2) O~7~C.• o~P'7t7- A O6/UC
Page 382 and 383:
Wihen X = w, forward synchronous pr
Page 384 and 385:
we find For forward synchronous pre
Page 386 and 387:
•+ , , ; Im• S, -I i I I- I' su
Page 388 and 389:
When analyzing the natural frequenc
Page 390 and 391:
Vz 7M 7 ' z (KR--K-) z z (R (3.137)
Page 392 and 393:
The concept of forced vibrations. t
Page 394 and 395:
Resonance modes can be shown on the
Page 396 and 397:
' C Yon no'. ern12 •. -p. 4 a..(a
Page 398 and 399:
I ~ I 'Existing methods of damping
Page 400 and 401:
Vibrations in rotors on hydrostatic
Page 402 and 403:
SQTi •-fT 1 (O,0625VI)Y+1-0, 1-(p
Page 404 and 405:
During the forward speed of the piv
Page 406 and 407:
~t The coefficients of hydraulic fr
Page 408 and 409:
of forces in the absence of pivot v
Page 410 and 411:
To solve the problem of the vibrati
Page 412 and 413:
I I k i = Ib the projections of dis
Page 414 and 415:
3 The general solution to (3.160) c
Page 416 and 417:
(3.166) Thus, near the boundary of
Page 418 and 419:
2 1z or 2.. .• .. :. • C .2,e.
Page 420 and 421:
I 3.2. THERMOEMISSION ENERGY CONVER
Page 422 and 423:
STRUCTURAL DIAGRAMS AND DESIGN OF C
Page 424 and 425:
In the creation of the design serio
Page 426 and 427:
I £ The nortcoming in this design
Page 428 and 429:
'I, Fig. 3.92. Overall view of reac
Page 430 and 431:
Figure 3.93 is a diagram of an elec
Page 432 and 433:
We shall set up one of 'he shell se
Page 434 and 435:
E3 e 2 , --e 1 , o A= B 3 , 0 --E 1
Page 436 and 437:
worst efficiency. In the table the
Page 438 and 439:
7,7 417 1 2 Fig. 3.96. Diagram of a
Page 440 and 441:
A thermoelectric converter consists
Page 442 and 443:
I 1A 7ý,, -- Fig. 3.101. Controlla
Page 444 and 445:
Photoelectric Converters In a photo
Page 446 and 447:
of 140 W with allowance for all los
Page 448 and 449:
Radiator coolers are divided into s
Page 450 and 451:
2 A Fig. 4.2. A conical flexible un
Page 452 and 453:
Folding conical, radiators. As seen
Page 454 and 455:
* ,. I- ] 2 : I KEY: ()aA (V)w °+
Page 456 and 457:
point does not exceed the temperatu
Page 458 and 459:
The subscript "cep" e ~'~;+ f~dx. 0
Page 460 and 461:
-- - ' P l -- u -A - a .' • U1 1.
Page 462 and 463:
AL Fig. 11.11. Determining thermal_
Page 464 and 465:
In the cross section of pipes and r
Page 466 and 467:
o> . .. Fig. 4.14. Stress diagrams
Page 468 and 469:
1 I I I Thermal stresses in a a, fl
Page 470 and 471:
We shall use Hooke's law for a two-
Page 472 and 473:
i.e., the plate bends along a spher
Page 474 and 475:
then "- D(0 + ) B& 3 ( +,u) aAt EAh
Page 476 and 477:
Then instead of At(z) we shall writ
Page 478 and 479:
Heat exchangers in which the heat t
Page 480 and 481:
which is done by introducing into t
Page 482 and 483:
-.............. . a U-shaped jacket
Page 484 and 485:
The mechanical strength of heat exc
Page 486 and 487:
All the welding seams on the pipes
Page 488 and 489:
I I! .jn the design of a heat excha
Page 490 and 491:
.The following types of corrosion a
Page 492 and 493:
To •clean lithium q the oxygen an
Page 494 and 495:
t I * I where p is the permissible
Page 496 and 497:
Additional tensile (compressive) st
Page 498 and 499:
Calculation formulas are valid unde
Page 500 and 501:
The compliance parameter is determi
Page 502 and 503:
-KI 1- SI ' 2I -log VJ L0 Fig. 4.38
Page 504 and 505:
Case 3. The shell is loaded simulta
Page 506 and 507:
The value of n for thin cylindrical
Page 508 and 509:
In the general case, critical time
Page 510 and 511:
when ).
Page 512 and 513:
Axial displacement of compensator:
Page 514 and 515:
CHAPTER V MOTORS 5.1. PLASMA MOTORS
Page 516 and 517:
Pulsed pinch plasma motor This inot
Page 518 and 519:
In the plasma generator unit the ev
Page 520 and 521:
If an external magnetic field is cr
Page 522 and 523:
forces Fig. 5.5. acting Simplified
Page 524 and 525:
Z I . . .. . . Pulsed plasma face-t
Page 526 and 527:
The grain of the working medium is
Page 528 and 529:
J 4J 0 0 514 ~
Page 530 and 531:
I I Forces T e, while acting normal
Page 532 and 533:
where D - 12 "). Let us return to e
Page 534 and 535:
It is significant also that when n
Page 536 and 537:
where B is a coefficient; n is the
Page 538 and 539:
Bend w is an elastic bend of the sh
Page 540 and 541:
Thus, a linear law of temperature g
Page 542 and 543:
;' -- e--- 1= - (20MO cosVxJr- Q 0
Page 544 and 545:
Table 5. 1. 3x __ _ _ V I '0 I ! 0
Page 546 and 547:
Hence generalized stress is SV2= f
Page 548 and 549:
Let us 3train a free shell loaded w
Page 550 and 551:
tt Solution is sought from formula
Page 552 and 553:
The value of wp is found from formu
Page 554 and 555:
We determine 1.29 1.29 D' Eh3 1,45
Page 556 and 557:
Table 5.2. CT- p ,INI'•I.R 1. po-
Page 558 and 559:
. sin ir P ( 2P2C 4 ) + eP cos ,x (
Page 560 and 561:
,_ . l90 _. h-ID NI -rcz Lit 'w. a)
Page 562 and 563:
Computation of w'" is made in ,line
Page 564 and 565:
Table I 5.3. (2(2) (1 l10 _ _ _ _ _
Page 566 and 567:
We integr'ate this equation once mo
Page 568 and 569:
Table 5.4. _ _ _ () Kit)I ) (3) ( U
Page 570 and 571:
These formulas show that on the fre
Page 572 and 573:
pR _prtgii h (5.39) where R is the
Page 574 and 575:
K i... Linear shearing forces, obta
Page 576 and 577:
1.1: deformation correspondz to-the
Page 578 and 579:
The assumed law of At enables us to
Page 580 and 581:
'I Thus, the solution to the nonhom
Page 582 and 583:
The diagram of the shell is shown i
Page 584 and 585:
Tne z?.ell dimension~, in our probl
Page 586 and 587:
Stresses in a circular diret.ion or
Page 588 and 589:
w lW 2- W- =--, (); r- '=r g "I ; r
Page 590 and 591:
I, * I I Suzt-ttuting conditions (5
Page 592 and 593:
-7 The obtained equation is a homog
Page 594 and 595:
PRINCIPAL AND OF MOTORS STRUCTURAL
Page 596 and 597:
The ionizer unit consists of the io
Page 598 and 599:
-ii 4 I medium 6 and heater 7. The
Page 600 and 601:
!8 41 C Fig. 5. 37. The positive io
Page 602 and 603:
Soldering the porous plate with the
Page 604 and 605:
I I I . 1 2 Fig. 5.39. Design of io
Page 606 and 607:
i,, 1B) 6".R1 Fig. 5.41. Plate elec
Page 608 and 609:
electrons from the cathode and then
Page 610 and 611:
Stress analysis of motor elements A
Page 612 and 613:
A- Fig. 5.47. Motor unit design. 4z
Page 614 and 615:
Let us project all forces acting on
Page 616 and 617:
I- (' l1dx dy '-7dx =0; Ox=O Rý tg
Page 618 and 619:
I The quaotity Scx consists of thre
Page 620 and 621:
The angle of shift is the variation
Page 622 and 623:
V Iv Yvox a, R&tgo Ox Oy z 2Ow+ 2 0
Page 624 and 625:
7 3- h 2 h 2 iY dz; 1Y=- -h'2 -h 2
Page 626 and 627:
F 2Ea / 2r 3 + a3 , A G _ L(aa3) 0
Page 628 and 629:
I dimension r, dr. We apply to the
Page 630 and 631:
We drop • from equations (5.86) -
Page 632 and 633:
1-IL'L + z A. 2 o,-1_€ ('~-1,2-lm
Page 634 and 635:
Function F(r) can be found from the
Page 636 and 637:
We integrate this equation twice. T
Page 638 and 639:
Here A 1 = (2)/(3,)(z + 1)(z + 3);
Page 640 and 641:
- Absolutely flexible membrane If a
Page 642 and 643:
2500- 2000 1500 -/ 1000 Y - 500 4j-
Page 644 and 645:
Movement of the bellows also depend
Page 646 and 647:
Is The coefficient kla! calculated
Page 648 and 649:
Fig. 5.65. Stress analysis of a bel
Page 650 and 651:
Table A.l. Mechanical properties of
Page 652 and 653:
.(ii (2) A, 6r,/M,.ajpa £'40- 6 dH
Page 654 and 655:
A shortcoming of graphite is the no
Page 656 and 657:
0 (1) (2) 40 6-16- i!• 2 [K1/MM 2
Page 658 and 659:
E ( dafi/MM 1 2 U) 2_ou . Iv 5000 1
Page 660 and 661:
I I I3 Table A.3. (Continued)' (1a)
Page 662 and 663:
Table A.11. Characteristics of niob
Page 664 and 665:
Table A.5. Mechanical properties of
Page 666 and 667:
Tungsten and its alloys Figure A.16
Page 668 and 669:
, - ,, I Table A.8. Modulus of elas
Page 670 and 671:
Bibliography 1. A it;ý' Ip e e Bn.
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Design and Stress Analysis of Extraterrestrial ... - The Black Vault

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