2.1 Opredeluvawe na otpor na trkalawe

m

1950

1950

1950

1950

1950

1950

1950

1950

1950

1950

1950

1950

1950

1950

1950

1950

1950

1950

1950

1950

g

9,81 9,81 9,81 9,81 9,81 9,81 9,81 9,81 9,81 9,81 9,81 9,81 9,81 9,81 9,81 9,81 9,81 9,81 9,81 9,81

Rf

707,791

5

708,030

6

708,748

709,943

6

711,617

4

713,769

5

716,399

8

719,50832

723,095

1

727,160

1

731,703

4

Otpor na trkal awe Rf

705

710

715

720

725

730

735

0 10 20 30 40 50 60

v [m/s]

Rf

[N]

2.0 Opredeluvawe na koeficient na otpor

v[m/s] 0 5 10 15 20 25 30 35 40 45 50

fo 0,037 0,037 0,037 0,037 0,037 0,037 0,037 0,037 0,037 0,037 0,037

f 0,037 0,037013 0,03705 0,037113 0,0372 0,037313 0,03745 0,0376125 0,0378 0,038013 0,03825

2.2 Opredeluvawe na otpor na vozduh

A 2,57 2,57 2,57 2,57 2,57 2,57 2,57 2,57 2,57 2,57 2,57

k 0,45 0,45 0,45 0,45 0,45 0,45 0,45 0,45 0,45 0,45 0,45

Rv 0 28,9125 115,65260,212

5 462,6722,812

5 1040,851416,71

25 1850,42341,91

3 2891,25

Otpor na vozduhot Rv

0

500

1000

1500

2000

2500

3000

0 10 20 30 40 50 60

v [m/s]

Rv

[N

]

3.1 Potrebna silina za sovladuvawe na otporot na trkalawe Pf

Pf [kW] 0 3,540153 7,08748 10,64915 14,23235 17,84424 21,49199 25,182791 28,9238 32,72221 36,58517

2.4 Opredeluvawe na otpor na patot

f 0,05 0,05 0,05 0,05 0,05 0,05 0,05 0,05 0,05 0,05 0,05 0,05 0,05

tga 0 0,02 0,04 0,05 0,06 0,08 0,1 0,15 0,2 0,25 0,3 0,35 0,4

cosa 1 0,99980,9992

010,9987

520,9982

050,9968

150,9950

370,9889

3640,9805

810,9701

430,9578

260,9438

580,9284

77

sina 00,0199

960,0399

680,0499

380,0598

920,0797

450,0995

040,1483

4050,1961

160,2425

360,2873

480,3303

50,3713

91fcosa 0,05

0,04999

0,04996

0,049938

0,04991

0,049841

0,049752

0,0494468

0,049029

0,048507

0,047891

0,047193

0,046424

y 0,050,0699

860,0899

280,0998

750,1098

030,1295

860,1492

560,1977

8730,2451

450,2910

430,3352

390,3775

430,4178

15

Si l i na za sovl aduvawe na otporot na trkal aweto Pf

0

5

10

15

20

25

30

35

40

0 10 20 30 40 50

v [m/s]

Pf

[kW

]

3.2 Potrebna silina za sovladuvawe na otporot na vozduhot Pv

Pv [kW] 0 0,144563 1,1565 3,903188 9,252 18,07031 31,2255 49,584938 74,016 105,3861 144,5625

0

10

20

30

40

50

60

70

80

0 10 20 30 40

v [m/s]

Pv

[k

W]

Si l i na za sovl aduvawe na otporot pri trkal awe Pv

3.3 Potrebna silina za sovladuvawe na otporot na ugorninata Pa

v [m/s] 0 5 10 15 20 25 30 35 40 45 50

Pa2[kW] 01,91256

83,82513

55,73770

3 7,650279,56283

811,4754

113,3879

7315,3005

417,2131

119,1256

8

Pa4[kW] 03,82284

37,64568

611,4685

315,2913

719,1142

222,9370

626,7599

0130,5827

434,4055

938,2284

3

Pa6[kW] 0 5,72855 11,457117,1856

5 22,914228,6427

5 34,371340,0998

5 45,828451,5569

5 57,2855

Pa8[kW] 0 7,6274315,2548

622,8822

930,5097

238,1371

545,7645

853,3920

161,0194

468,6468

7 76,2743

Pa10[kW] 0 9,5172819,0345

628,5518

438,0691

2 47,586457,1036

866,6209

676,1382

4

Pa15[kW] 0 14,188428,3767

942,5651

956,7535

870,9419

8

Pa20[kW] 018,7580

237,5160

456,2740

675,0320

8

Pa25[kW] 023,1979

346,3958

569,5937

8

Pa30[kW] 027,4841

154,9682

1

Pa35[kW] 031,5971

963,1943

8

Pa40[kW] 035,5225

971,0451

8

Pa45[kW] 039,2503

6

Pa50[kW] 042,7748

6

Pa60[kW] 049,2102

4

Pa70[kW] 054,8502

5

Pa80[kW] 0 59,7505

Pa90[kW] 0 63,9848

Pa100[kW] 0 67,633

Si l i na za sovl aduvawe na otporot na ugorni nata Pa

0

10

20

30

40

50

60

70

80

90

0 5 10 15 20 25v [m/s]

Pa

[k

W]

4.1 Potrebna silina na motorot Pe

v [m/s] 0 5 10 15 20 25 30 35 40 45 50

Pt [kW] 03,684716 8,24398 14,55234 23,48435 35,91455 52,71749

74,767729

102,9398 138,1083 181,1477

Pe [kW] 04,094128 9,159978 16,16927 26,09372 39,90505 58,57499

83,075254

114,3776 153,4536 201,2752

Potrebna si l i na na motorot Pe

0

50

100

150

200

250

0 10 20 30 40 50 60

v [m/s]

Pe

[kW

]

4.3 Nadvore{na brzinska k-ka na motorite so vnatre{no sogoruvawe

nmax 3600 3600 3600 3600 3600 3600 3600 3600 3600 3600 3600n 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 5500C1 1,1 1,1 1,1 1,1 1,1 1,1 1,1 1,1 1,1 1,1 1,1C2 0,9 0,9 0,9 0,9 0,9 0,9 0,9 0,9 0,9 0,9 0,9

n/nmax

0,138888889

0,277778

0,416667

0,555556

0,694444

0,833333

0,972222

1,1111111 1,25

1,388889

1,527778

C1*n/nmax

0,152777778

0,305556

0,458333

0,611111

0,763889

0,916667

1,069444

1,2222222 1,375

1,527778

1,680556

n/nmax^20,01929

0123 0,077160,17361

10,30864

20,48225

30,69444

40,94521

61,23456

79 1,56251,92901

22,33410

5

n/nmax^30,00267

91840,02143

30,07233

80,17146

80,33489

80,57870

4 0,918961,37174

211,95312

52,67918

43,56599

4C2*n/

nmax^20,01736

11110,06944

4 0,156250,27777

80,43402

8 0,6250,85069

41,11111

11 1,406251,73611

12,10069

4

Pe [kW]12,5594

778826,5174

9 40,668453,8065

8 64,726472,2222

275,0884

172,1193

4262,1093

843,8528

816,1442

3

w52,3333

3333104,666

7 157209,333

3261,666

7 314366,333

3418,666

67 471523,333

3575,666

7

Te239,990

0232253,351

8259,034

4257,037

8 247,362230,007

1204,972

9172,259

57 131,86783,7953

1 28,0444

Si l i na i vrte` ni ot moment na motorot

Pe [kW]

Te [Nm]

0

10

20

30

40

50

60

70

80

1 2 3 4 5 6 7 8 9 10 11ne [min-1]

Pe

[kW

]

0

100

200

300

400

500

Te

[Nm

]

4.4 Dinami~ka k-ka vo posledniot stepen na prenos

v [m/s] 0 5 10 15 20 25 30 35ne 0 404,9523 809,9046 1214,857 1619,809 2024,762 2429,714 2834,6662

Pe [kW] 0 10,0275 21,1227 32,6451 43,9542 54,4095 63,37052 70,196748Do [-] #DIV/0! 0,092843 0,093332 0,088789 0,079215 0,064609 0,044971 0,0203009

Di nami ~ka karakter i sti ka

0,01

0,03

0,05

0,07

0,09

0,11

0 5 10 15 20 25 30 35 40

v [m/s]

Do

[-]

7. Dijagram na vle~ewe

7.1 Potrebni podatoci za crtawe na vle~niot dijagram

7.1.1 Tabelarno sredeni vrednosti na nadvore{nite otpori

v [m/s] 0 5 10 15 20 25 30 35 40Rf+Rv 0,7077915 0,736943 0,824398 0,970156 1,174217 1,436582 1,75725 2,1362208 2,573495

Rf+Rv+Ru2 1,090305005 1,119457 1,206911 1,35267 1,556731 1,819095 2,139763 2,5187343 2,956009Rf+Rv+Ru4 1,47236009 1,501512 1,588967 1,734725 1,938786 2,201151 2,521818 2,9007894 3,338064Rf+Rv+Ru6 1,853501075 1,882653 1,970108 2,115866 2,319927 2,582292 2,902959 3,2819304 3,719205Rf+Rv+Ru8 2,23327773 2,262429 2,349884 2,495642 2,699704 2,962068 3,282736 3,661707 4,098981Rf+Rv+Ru1

0 2,611247893 2,6404 2,727854 2,873612 3,077674 3,340038 3,660706 4,0396772 4,476951Rf+Rv+Ru1

5 3,545470194 3,574622 3,662077 3,807835 4,011896 4,274261 4,594928 4,9738995 5,411174Rf+Rv+Ru2

0 4,459395107 4,488547 4,576002 4,72176 4,925821 5,188186 5,508853 5,8878244 6,325099Rf+Rv+Ru2

5 5,347376739 5,376528 5,463983 5,609741 5,813803 6,076167 6,396835 6,7758061 7,21308Rf+Rv+Ru3

0 6,204612877 6,233764 6,321219 6,466977 6,671039 6,933403 7,254071 7,6330422 8,070316Rf+Rv+Ru3

5 7,02722995 7,056382 7,143836 7,289595 7,493656 7,75602 8,076688 8,4556593 8,892934

ne 955,4140127 1433,121 1910,828 2388,535 2866,242 3343,949 3821,656We [l/s] 100 150 200 250 300 350 400Pe [kW] 25,24721686 38,80788 51,59131 62,54605 70,62065 74,76366 73,92363Pt [kW] 22,72249517 34,92709 46,43218 56,29145 63,55859 67,2873 66,53126Te [Nm] 252,4721686 258,7192 257,9565 250,1842 235,4022 213,6105 184,8091v1 [m/s] 2,292040517 3,438061 4,584081 5,730101 6,876122 8,022142 9,168162

Ft1 [kN] 9,913653358 10,15895 10,129 9,823814 9,243378 8,387697 7,256772v2 [m/s] 4,242734228 6,364101 8,485468 10,60684 12,7282 14,84957 16,97094Ft2 [kN] 5,355625394 5,488142 5,471964 5,307091 4,993524 4,531262 3,920306v3 [m/s] 6,884102194 10,32615 13,7682 17,21026 20,65231 24,09436 27,53641Ft3 [kN] 3,3007202 3,382391 3,372421 3,270808 3,077554 2,792658 2,41612v4 [m/s] 9,885570751 14,82836 19,77114 24,71393 29,65671 34,5995 39,54228Ft4 [kN] 2,298551671 2,355426 2,348482 2,277722 2,143143 1,944748 1,682535v5 [m/s] 11,79662381 17,69494 23,59325 29,49156 35,38987 41,28818 47,1865Ft5 [kN] 1,9261863 1,973847 1,968028 1,908731 1,795954 1,629699 1,409964

v [m/s] 0 5 10 15 20 25 30 35 40Fhyp [kN]   13,5 6,75 4,5 3,375 2,7 2,25 1,9285714 1,6875

Vl e~en di jagram

Fhyp

Ft5Ft4

Ft3

Ft2

Ft1

Rf+Rv

Rf+Rv+Ru2Rf+Rv+Ru4Rf+Rv+Ru6

Rf+Rv+Ru8

Rf+Rv+Ru10

Rf+Rv+Ru15

Rf+Rv+Ru20

Rf+Rv+Ru25

Rf+Rv+Ru30

Rf+Rv+Ru35

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40

v [m/s]

Ft

[kN

]

8. Dinami~ka karakteristika

We [l/s] 100 150 200 250 300 350 400A 2,57 2,57 2,57 2,57 2,57 2,57 2,57k 0,45 0,45 0,45 0,45 0,45 0,45 0,45v1

[m/s] 2,292040517 3,438061 4,584081 5,730101 6,876122 8,022142 9,168162

Ft1 [N] 9913,653358 10158,95 10129 9823,814 9243,378 8387,697 7256,772Rv1 6,075614616 13,67013 24,30246 37,97259 54,68053 74,42628 97,20983

Do1 [-] 0,517921417 0,530347 0,528226 0,511558 0,480342 0,434579 0,374268v2

[m/s] 4,242734228 6,364101 8,485468 10,60684 12,7282 14,84957 16,97094Ft2 [N] 5355,625394 5488,142 5471,964 5307,091 4993,524 4531,262 3920,306

Rv2 20,81791795 46,84032 83,27167 130,112 187,3613 255,0195 333,0867Do2 [-] 0,278878563 0,284446 0,281695 0,270628 0,251244 0,223542 0,187523

v3

[m/s] 6,884102194 10,32615 13,7682 17,21026 20,65231 24,09436 27,53641Ft3

[kN] 3300,7202 3382,391 3372,421 3270,808 3077,554 2792,658 2416,12Rv3 54,80753308 123,3169 219,2301 342,5471 493,2678 671,3923 876,9205

Do3 [-] 0,169680999 0,170369 0,164834 0,153076 0,135094 0,11089 0,080462v4

[m/s] 9,885570751 14,82836 19,77114 24,71393 29,65671 34,5995 39,54228Ft4

[kN] 2298,551671 2355,426 2348,482 2277,722 2143,143 1944,748 1682,535Rv4 113,0183947 254,2914 452,0736 706,365 1017,166 1384,475 1808,294

Do4 [-] 0,114249368 0,109837 0,099135 0,082143 0,058861 0,029288 -0,00657v5

[m/s] 11,79662381 17,69494 23,59325 29,49156 35,38987 41,28818 47,1865Ft5

[kN] 1926,1863 1973,847 1968,028 1908,731 1795,954 1629,699 1409,964Rv5 160,9389254 362,1126 643,7557 1005,868 1448,45 1971,502 2575,023

Do5 [-] 0,092278804 0,084254 0,069227 0,047197 0,018166 -0,01787 -0,0609v [m/s] 0 5 10 15 20 25 30

Di nami ~ka karakteri sti ka

Do1 [-]

Do2 [-]

Do3 [-]

Do4 [-]

Do5 [-]0

0,05

0,1

0,15

0,2

0,25

0,3

0,35

0,4

0,45

0,5

0,55

0 5 10 15 20 25 30 35 40v [m/s]

Do

[-]

9. Potrebna silina za sovladuvawe na otporite vo oddelni stepeni na prenos

v [m/s] 0 5 10 15 20 25 30 35 40 45 50n1 0 2084,2 4168,399 6252,599 8336,799 10421 12505,2 14589,398 16673,6 18757,8 20842n2 0 1125,941 2251,883 3377,824 4503,766 5629,707 6755,648 7881,5897 9007,531 10133,47 11259,41n3 0 693,9278 1387,856 2081,783 2775,711 3469,639 4163,567 4857,4948 5551,423 6245,35 6939,278n4 0 483,2366 966,4733 1449,71 1932,947 2416,183 2899,42 3382,6565 3865,893 4349,13 4832,366n5 0 404,9523 809,9046 1214,857 1619,809 2024,762 2429,714 2834,6662 3239,618 3644,571 4049,523

Pe1 [kW] 0 55,83368 69,59434                Pe2 [kW] 0 30,11109 59,66043 74,88061              Pe3 [kW] 0 17,87336 37,53981 55,77644 69,36035 75,06862          Pe4 [kW] 0 12,10901 25,56211 39,2709 52,147 63,10202 71,04755 74,895228      Pe5 [kW] 0 10,0275 21,1227 32,6451 43,9542 54,4095 63,37052 70,196748 74,24769 74,88286  

(Pf+Pv)/ηp 0 4,094128 9,159978 16,16927 26,09372 39,90505 58,57499 83,075254 114,3776 153,4536 201,2752

Pr2/ηp 0 6,219203 13,41013 22,54449 34,59402 50,53043 71,32544 97,950779 131,3782 172,5793 222,5259

Pr4/ηp 0 8,341732 17,65518 28,91208 43,08413 61,14307 84,06061 112,80848 148,3584 191,6821 243,7512

Pr6/ηp 0 10,45918 21,89009 35,26443 51,55394 71,73033 96,76533 127,63064 165,298 210,7391 264,9257

Pr8/ηp 0 12,56905 26,10982 41,59403 59,99341 82,27967 109,4245 142,39971 182,1769 229,7279 286,0244

Pr10/ηp 0 14,66888 30,30949 47,89353 68,39274 92,77883 122,0235 157,09854 198,9756    

Pr15/ηp 0 19,85901 40,68974 63,46392 89,15325 118,7295          

Pr20/ηp 0 24,93637 50,84447 78,696 109,4627            

Pr25/ηp 0 29,8696 60,71092 93,49568              

Pr30/ηp 0 34,63202 70,23577                

Pr35/ηp 0 39,20212 79,37596                

Si l i na na trkal ata

Pe1 [kW]

Pe2 [kW] Pe3 [kW] Pe4 [kW]

Pe5 [kW]

(Pf+Pv)/ηp

Pr2/ηpPr4/ηp Pr6/ηp Pr8/ηpPr10/ηpPr15/ηpPr20/ηpPr25/ηp

Pr30/ηp

Pr35/ηp

0

10

20

30

40

50

60

70

80

0 5 10 15 20 25 30 35v [m/s]

P [

kW]