FTN Novi Sad Katedra za motore i vozila. Drumska vozila Uputstvo za izradu vučnog proračuna motornog vozila. 1. Ulazni podaci IZVOR:

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1. Ulazni podaci IZVOR: WWW.CARTODAY.COM

1. Ulazni podaci Masa / težina vozila Osovinske reakcije Raspodela težine napred / nazad Dimenzije pneumatika Čeona površina Koeficijent otpora vazduha Brzinska karakteristika motora Prenosni odnosi menjačkog i glavnog prenosnika Koncepcija transmisije

1. Ulazni podaci Težina vozila i osovinske reakcije G = (N) proračunska težina vozila G = m g, g 10m/s 2 m masa vozila MASS AS TESTED T G u h T l P l Z G P G Z Primer: raspodela težine prednja osovina / zadnja osovina = 54,6 % / 45,4 % G P = 0,546 G G Z = 0,454 G FRONT/REAR WEIGHT DISTRIBUTION

1. Ulazni podaci TYRE SIZE SERIES

1. Ulazni podaci Dimenzije pneumatika Primer: 225/55 R 16 Dinamički radijus: r D = 0,318m IZ KATALOGA PNEUMATIKA r D = O 2π OBIM KOTRLJANJA SLUČAJ: OBIM KOTRLJANJA ZADAT KAO REVS PER MILE O = 1602 REVS_PER_MILE OBIM KOTRLJANJA [m]

1. Ulazni podaci Katalog pneumatika primer IZVOR: WWW.CONTI-ONLINE.COM

1. Ulazni podaci Čeona površina A= (m 2 ) FRONTAL AREA Koeficijent otpora vazduha c W = (-) DRAG COEFFICIENT (Cd)

1. Ulazni podaci Brzinska karakteristika motora POWER AND TORQUE M (Nm) P (kw) Snaga uvek ima maksimum na većem broju obrtaja nego moment!

1. Ulazni podaci Brzinska karakteristika motora MAX. TORQUE MAX. POWER TORQUE PEAK POWER PEAK

1. Ulazni podaci Brzinska karakteristika motora Očitavanje brzinske karakteristike motora SUS sa dijagrama KARAKTERISTIČNE TAČKE: n MIN minimalni broj obrtaja motora n MIN broj obrtaja motora pri maks. obrtnom momentu n Mmax maksimalni obrtni moment M MAX broj obrtaja motora pri maksimalnoj snazi n Pmax maksimalna snaga P MAX maksimalni broj obrtaja motora n MAX DIMENZIJE: n (o/min) M (Nm) P (kw)

1. Ulazni podaci Brzinska karakteristika motora Očitavanje brzinske karakteristike motora SUS sa dijagrama n (o/min) 1000 1500 1750 2000 2500 3000 3500 4000 4500 5000 M (Nm) 210 255 260 255 245 230 212 191.1 165 127 P (kw) 22.0 40.0 47.6 53.4 64.1 72.2 77.7 80.0 77.7 66.5 P(n) = M(n) n / 9554 (kw)

1. Ulazni podaci Brzinska karakteristika motora Grafički prikaz i poređenje sa izvorom (provera tačnosti) M (Nm) 300 270 240 210 180 150 120 90 60 M (Nm) 30 P (kw) 0 1000 2000 3000 4000 5000 100 90 80 70 60 50 40 30 20 10 0 P (kw) n (o/min)

1. Ulazni podaci Prenosni odnosi u transmisiji i m, i GP M,n M - motor i m M m,n m m - menjač i GP M GP,n GP GP glavni prenosnik FINAL DRIVE - 1. stepen prenosa: i m = i I - 2. stepen prenosa: i m = i II - 3. stepen prenosa: i m = i III - 4. stepen prenosa: i m = i IV - 5. stepen prenosa: i m = i V LOW GEAR 2nd GEAR 3rd GEAR 4th GEAR TOP GEAR Primer: 2nd gear 2,158 to 1 Znači: i II = 2,158 PRIMER: MENJAČ SA 5 STEPENI PRENOSA

2. Stepen korisnosti transmisije M m+gp POGON NAPRED M m POGON NAZAD KP M m GP R KP 4X4 GP GP 1. η TR = η m η GP 2. η TR = η m η GP 3. η TR = η m η 2 GP η R η KP η KP ~ 0,93 ~ 0,9 ~ 0,87

3. Otpori kretanja 3.1 Otpor kotrljanja F f = f G ZA HORIZONTALNU PODLOGU UTICAJ BRZINE NA KOEFICIJENT f (EMPIRIJSKI): f = f 0 +C 1 v+c 2 v 4, v (km/h) f 0 = 0,01 C 1 = 5,42 10-6 C 2 = 1,05 10-11

3. Otpori kretanja 3.2 Otpor vazduha F W 2 ρ v = c W A SILA OTPORA VAZDUHA 2 C W koeficijent oblika A čeona površina ρ v 2 2 DINAMIČKI PRITISAK

3. Otpori kretanja 3.2 Otpor vazduha Pri standardnom pritisku i 15 o C: ρ = 1,225 kg/m 3 Za v u km/h: F W = 0,0473 C W A v 2

3. Otpori kretanja Sila otpora kotrljanja F f = f G, F f (N), G (N), f(-) Sila otpora vazduha F W = 0,0473 C W A v 2, v (km/h), A(m 2 ), F(N) Snaga otpora kotrljanja Snaga otpora vazduha P f = F f v / 3600, P W = F W v / 3600, v (km/h), F(N), P(kW) v (km/h), F(N), P(kW) v 0 20 40 60 80 100 120 140 160 180 200 220 f 0,012 0,012192 0,012768 0,013728 0,015072 0,0168 0,018912 0,021408 0,024288 0,027552 0,0312 0,035232 Ff 174 176,784 185,136 199,056 218,544 243,6 274,224 310,416 352,176 399,504 452,4 510,864 Fw 0 12,94128 51,76512 116,4715 207,0605 323,532 465,8861 634,1227 828,2419 1048,244 1294,128 1565,895 Ff+Fw 174 189,7253 236,9011 315,5275 425,6045 567,132 740,1101 944,5387 1180,418 1447,748 1746,528 2076,759 Pf 0 0,982133 2,057067 3,3176 4,856533 6,766667 9,1408 12,07173 15,65227 19,9752 25,13333 31,21947 Pw 0 0,071896 0,575168 1,941192 4,601344 8,987 15,52954 24,66033 36,81075 52,41218 71,896 95,69358 Pf+Pw 0 1,054029 2,632235 5,258792 9,457877 15,75367 24,67034 36,73206 52,46302 72,38738 97,02933 126,913

3. Otpori kretanja 2200 2000 1800 1600 1400 1200 1000 800 600 400 F(N) F f + F W F W F f 200 0 V(km/h) 0 20 40 60 80 100 120 140 160 180 200 220

3. Otpori kretanja 140 P(kW) 120 100 80 60 P f + P W P W 40 20 0 V(km/h) 0 20 40 60 80 100 120 140 160 180 200 220 P f

4. Vučno-brzinska karakteristika Raspoloživa vučna sila na točku u funkciji brzine kretanja vozila M,n M m,n m M GP,n GP GP glavni prenosnik M - motor m - menjač M(n) F O,v M,n M T,n T F O,v M T,n T n i TR,η TR r D NAPOMENA: M T osovinski moment; moment na pojedinačnom točku = M GP / 2

4. Vučno-brzinska karakteristika Idealna hiperbola vuče F Oid = 3600 P v MAX η TR F Oid (v) v Stvarne krive vuče u pojedinim stepenima prenosa: F O = M i m i r GP D η TR M M(n) F O F O (v) v = 0,377 r i i m GP D n n i m = const v

4. Vučno-brzinska karakteristika Zavisnost vučne sile na točku i brzine kretanja vozila od broja obrtaja motora i stepena prenosa F O i m = i I M i m = i II i m = i III n i m = i IV VUČNO - BRZINSKA KARAKTERISTIKA VUČNI DIJAGRAM v

4. Vučno-brzinska karakteristika Hiperbola vuče Idealna hiperbola (mogućnost potpunog iskorišćenja raspoložive snage motora - P max ) F Oid =(3600 P max η tr ) / v, P(kW), v(km/h) V(km/h) 20 40 60... v max F Oid (N) 15192 7596 5064... 1519

4. Vučno-brzinska karakteristika F O (N) F Oid F O = (M(n) i m i GP η tr ) / r D v = (0,377 r D n) / i m i GP i m =i I 300 250 100 90 80 F OI 200 150 100 50 70 60 50 40 30 20 10 0 0 1000 2000 3000 4000 5000 6000 7000 0 F OII i m =i II F OIII F OIV i m =i III i m =i IV i m =i V F O V F OTP = F f + F W v MAX Hiperbola vuče VUČNI DIJAGRAM v (km/h)

4. Vučno-brzinska karakteristika Grafičko određivanje maksimalne brzine v MAX STVARNA VREDNOST v MAX TEORIJSKA VREDNOST v (km/h)