PSI - Issue 59

Andrii Senyk et al. / Procedia Structural Integrity 59 (2024) 508–515 Andrii Senyk et al. / Structural Integrity Procedia 00 (2023) 000 – 000

512

5

and second positions of all j -th rolling bushings.

Table 1. Values of the deviations from roundness,

μm, for certain i -th positions of j-th bushings, mathematical

expectations

, μm, and dispersions

, μm2.

Scattering characteristics

Rotation angle, 0 

Sequence numbers of the rolling bushings j

Position No, i

1

2

3

4

5

6

7

8

9

10

0(24)

0(360)

626 326 140 152 234 144 296 198 310 438 298 308 510 774 886 784 668 290 460 0 70 0

72

576 238

706 298

248 390 302

718 226

226 622 222 168 310 368 456 304 0

558

880 316

226 792 624 370 438 526 448 432 232

484 391 173 107 262 397 362 374 273 140 210 155 121 421 684 578 536 310 108 132 209 58 80 23

65350 42360 38160 14810 13050 14580 19570 19750 17990 12030 837,6 10060 22340 13590 21330 24720 33020 50420 47620 21830 17270 30260 19480 7700

1 2 3 4 5 6 7 8 9

15 30 45 60 75 90

614 358 252 202 364 292 362 376 170

90 10

42 32

26

4

0 0

136 456 572 422 416 264

0

102 308 356 400 382 210 198 278 170 164 526 700 682 646 280 0 2 30

182 262 316 346 236 134

236 408 482 490 430 244 254 324 106 132 304 426 494 500 382 96 4

84

316 600 600 602 528 302

280 118

105 120 135 150 165 180 195 210 225 240 255 270 285 300 315 330 345

66 54

0 0

6 0

0

8 0

0

10 11 12 13 14 15 16 17 18 19 20 21 22 23

0

38 42

32

30

74

198 134

110 228 220

20 50 96 46

0 0 0 0 0

196 386 248

264 354

0

32

22 58

76

0

60

26

0

148 448 606 810 892 516 132

0

146 420 978 558 176

110 522 844 492 126

0

386 522 572 544 418 136

202 434 586 606 338 178 234 354

276 800 800 544 350

322 636

1

662 426

96

0

34

66

8

64

0 0

0

0

0

200 426

0

542 384

46

0

290 270

240

158

78

0

84

98

Additionally, the stability of the technological process at the first technological operation - the formation of the rolling bushing from the card - was checked in terms of deviation from roundness using harmonic analysis of the value ji  . For this purpose, based on (Dzyura et al., 2014), the deviation from roundness ji  within the interval [0- 2π] was approximated by limiting it to 10 members of the trigonometric Fourier series.

a

   10 1 k k

0

j

   ( )

(

cos

sin

)

,

(2)

f

a

  k b

k







ij

kj

ij

kj

ij

2

2 0 j a

is a free member of decomposition;

where