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

More documents

Recommendations

Info

7 3- h 2 h 2 iY dz; 1Y=- -h'2 -h 2 ( -,,z dz; h,2 h2 "S= i.•,,/,; H= -• 3 'r *I dz. (5.81) Let us proceed to an examination of specific particular cases o1 analysis. shell Analysis of a torus-shaped shell Torus-shaped shells are used in feed systems and motor control systems. The peculiarities of the shell is the variable value of the second principal radius of curvature R 2 (Fig. 5.56). Fig. 5.56. Torus-shaped ( shell. _. _ : Z % z The angle of slope for the principal radius of curvature is 'A U=O; R2=:oc; a=-C, R2-=a+R; 2 a=----; R 2 =a--R; R, =. R= const. Let us set up the steady-state equation of an element cut by two planes normal to the surface. For this we find the values of radii 610
S ; R= ; r=kR 2 sina=a+Rslna.' R in a Projecting all forces onto the z-axis, we obtain N,, sf n a2 nr - p.7 (r -- a 2 ) =0, or, substituting the value of r, and No sin 2.-r (a + R sin a) =p-1 (a +PR sin a)2--a2l Nv = pR(2a + Rsin a) ; PR 2a+2cinca 2(a+ Rsin a) , 2I= a.Rsin- (.82) From the main equation (2.30) we obtain V 2-PR 2 ; 7 2R- ' (5.83) As is apparent from expressions (5.82) and (5.83) the greztest ,'t-t 00 arises at the internal points of tLe torus-shaped eh'el" when - r/2; in a particular case lwhen a -: R, stress 's ( =qS= Thermal stresses of a spherical shell Stresses in a spher.ical shell are determined from formulas [E. i. "0-a"-_r I I-:'t [(r 3 -- 2 r3i Ar dr- --r .Iar• A aadr ; irr3
Page 2 and 3:
FTD:-MT-24-1462-71 FOREIGN TECHNOLO
Page 4 and 5:
tUNCLASSIFIED - Security Ct-9-1uifl
Page 6 and 7:
t IABLE OF CONTENTS U. S. Board on
Page 8 and 9:
5.2. Ion motors ...................
Page 10 and 11:
II jah _X JOLIGAETECbtSODN USA N NL
Page 12 and 13:
,.is the calculation Of thermal str
Page 14 and 15:
S1 In stress analysis the calculati
Page 16 and 17:
"I 3 f !7 2 II 3 I 44; a ' 3 I 4 2
Page 18 and 19:
)I requires special protection of t
Page 20 and 21:
electrical power of the power insta
Page 22 and 23:
Extraterrestrial motors in power fr
Page 24 and 25:
S1' , . that a part operatesbefore!
Page 26 and 27:
Fig. 1.3. Diagram of an ERE with me
Page 28 and 29:
Table 1.3 shows the working media,
Page 30 and 31:
I I The schematic of a nuclear ther
Page 32 and 33:
Fig. 1.5. converter. Diagram of an
Page 34 and 35:
The advantage of this arrangement i
Page 36 and 37:
A complex system or any part of it,
Page 38 and 39:
I I Stages and content of operation
Page 40 and 41:
'the use of earlier systems and uni
Page 42 and 43:
Structural diagram of operations Th
Page 44 and 45:
. . . . . __.. . . . . .. .. . . .
Page 46 and 47:
-- indication of state, transmissio
Page 48 and 49:
Stages ERE, I. Analysis of the tech
Page 50 and 51:
Space vehicle (SV) jParts jettisone
Page 52 and 53:
Spc veil (SV)!- 0 4. ho 0. 4)Z - H4
Page 54 and 55:
~tto 4- jo 0o (utd~nb 'Sa vtho- 4)i
Page 56 and 57:
'Li However, 'this list can be chan
Page 58 and 59:
- S developed. Or course, there are
Page 60 and 61:
Sthat From the design and operation
Page 62 and 63:
As the number or tests builds up-an
Page 64 and 65:
II P 'Po. = -ý SFig. 1.20. Curves
Page 66 and 67:
Stress is the intensity of the inte
Page 68 and 69:
strength criterion only when even s
Page 70 and 71:
JV Strength- reserve is the ratio o
Page 72 and 73:
'2 1 I III I, . - I - S We know tha
Page 74 and 75:
i J However, when the operating tim
Page 76 and 77:
Plastic deformations in the latter
Page 78 and 79:
Let us examine the basic design rel
Page 80 and 81:
I I The constants B and n are deter
Page 82 and 83:
Along with equation (1.18) we use e
Page 84 and 85:
Iftesting continues, as shown in Fi
Page 86 and 87:
I I Based on the known deformation
Page 88 and 89:
6%Fx (a) Fig. 1,31., Uniaxial (a) a
Page 90 and 91:
The element is in plastic state (1
Page 92 and 93:
Total operating time of the sample
Page 94 and 95:
I:! Substituting expression (1.35)
Page 96 and 97:
Function B(T) is found after determ
Page 98 and 99:
first We shall express stresses in
Page 100 and 101:
etween it and the stressed state of
Page 102 and 103:
a) b) c) Fig. 1.36. Determining the
Page 104 and 105:
other conditions being equal, the c
Page 106 and 107:
The fuel elements also rest on a li
Page 108 and 109:
As the reflector and moderator in t
Page 110 and 111:
Let us examine the examples of weld
Page 112 and 113:
Between these shells passes a fluid
Page 114 and 115:
The procedure for welding a two-lay
Page 116 and 117:
A fuel element is a closed pressuri
Page 118 and 119:
1 2A S(a) II • • /Fig. 2.8. Con
Page 120 and 121:
The reflector material 5 (beryllium
Page 122 and 123:
Figure 2.12 is a sketch of a fast n
Page 124 and 125:
I. ! ~ ~~. . ........... li .... I
Page 126 and 127:
I jZ ICIS qo 'Im klol
Page 128 and 129:
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 182 and 183:
a a I a A4l "• dr; P= pr dr idy;
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' *
Page 266 and 267:
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 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.
show all

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

Create successful ePaper yourself

Delete template?

Save as template?