Page | 1

f=ps/p0= 1,4

Supercharging factor

ps=f*p0= 168000 N/m2 Supercharging pressure

Ts=f*T0= 410 K Supercharging temperature

Ti=Ts-100= 310 K Temperature after intercooler

Parameters of gas exchange process:

It is adopted:

pa= 1,6 10^5 N/m2

Pressure at the end of the intake

stroke

∆T= 20

C Mixture preheating

νp= 1,1

Afterfilling coefficient

It is determined:

Residual gas coefficient

gr=((T0+∆T)/Tr)*(pr/(e*pa*νp-pr))=

0,028

Temperature at the end of intake stroke

Ta=(Ti+∆T+gTr)/(1+gr)=

346,887 K

Filling coefficient

hv=((pa*T0/p0*Ta)*(e/(e-1))*(νp/(1+gr))=

1,34

INITIAL DATA

Nominal power Pn= 280 kW 381 CP

RPM nn= 6500 rpm

Number of cylinders i= 4

Initial parameters:

T0= 293

K Initial temperature

p0= 1,2 10^5 N/m2 Initial pressure

Tr= 950

K Residual gas temperature

pr= 1,4 10^5 N/m2 Residual gas pressure

l= 1

Excess air coefficient

v= 10

Compression ratio

Page | 2

Parameters of compression process:

It is adopted: n1= 1,39 Polytropic compression coefficient

It is determined:

Pressure at the end of compression stroke

pc=pa*e^n1= 39,28 10^5 N/m2

Temperature at the end of compression stroke

Tc=Ta*e^(n1-1)= 851,51

K

Parameters of combustion process:

It is adopted: c= 0,854 kg

h= 0,142 kg

o= 0,004 kg

Qi= 43500 kJ/kg

Mc= 0,00877193 kcal/kg =1/114

ξ= 0,95

Heat usage coefficient

Fz= 0,8

Pressure correction factor

* Minimum air for fuel combustion

Lmin=(1/0,21)*(c/12+h/4-o/32)= 0,507 kmol air/kg fuel

* Real air for fuel combustion

L=l*Lmin=

0,507 kmol air/kg fuel

* Fresh charge quantity for 1kg of fuel

M1=l*Lmin+Mc= 0,51577193

* The theoretic molar variation factor of the fresh charge

μ0=(0,79*l*Lmin+h/2+c/12)/(l*Lmin+Mc)= 1,052202796

*

The real molar variation factor of the fresh charge

μf=(μ0+gr)/(1+gr)= 1,051

Page | 3

* The medium specific molar heat of the initial mixture

Cmv'=20+17,4*10^(-3)*Tc=

34,816 kJ/kmolK

Parameters of the expansion process:

It is adopted: n2= 1,25

Pressure at the end of expansion

pb=pz/e^n2= 907514,596 N/m2 9,075 *10^5 N/m2

Temperature at the end of expansion

Tb=Tz/e^(n2 -1)= 1871,842 K

Cmv"=(18,4+2,6*l)+(15,5+13,8*l)*10^(-4)Tz= 21,000 + 0,0029 Tz

26,610 + 29,300 *10^(-4) Tz

*

Specific heat released during incomplete combustion

Qai=Qi-∆Qi=Qi-61000*(1-ll)=

43500,000 kJ/kg

* Temperature at the end of combustion process

ξi*Qai/(( (l*Lmin+Mc)(1+gr))+Cmv'*Tc=Cmv"mu*Tz

Tz= 3328,658 K

* Pressure at the end of combustion process

pz=pc*μf*(Tz/Tc)= 16138145,205 N/m2 161,381 *10^5 N/m2

p'z=Fz*pz=

129,105 *10^5 N/m2

* Increase factor of the pressure

π=pz/pc= 4,11

Page | 4

Main parameters of the engine:

It is adopted: Diagram rounding factor

μr = 0,96

Mechanical efficiency

ηm= 0,8

The mean pressure of the theoretic cycle

pi'=pc/(e-1)*[(π/(n2-1))*(1-(1/(e^(n2-1)))-(1/(n1-1)(1-1/e(n1-1)))]=

pl'= 24,771 *10^5 N/m2

Mean indicated pressure

pl=μr*pi'= 23,780 *10^5 N/m2

Indicated efficiency of the engine

ηI=RM*(pi*M1*To/(po*ηv*Qi))=

ηI= 0,427

Mean indicated pressure

pe=ηm*pI= 19,024 *10^5 N/m2

Effective efficiency

ηe=ηm*ηI=

0,342

Specific effective fuel consumption

ge=3600/ηe*Qi= 0,242 kg/kWh =242 g/kWh

Fundamental dimensions of the engine:

It is adopted: F=S/D= 1,15

Necessary piston dissplacement

Vh=120000*pn/(pe*n*i)= 0,679

Bore and stroke is determined

D=(4*Vh/π*F)^(1/3)= 0,909 dm

S=F*D= 1,045 dm 104,5 mm = 0,10m

Page | 5

Mean velocity of the piston

Wm=S*n/30= 21,7 m/s

Total dissplacement

Vt=i*Vh= 2,72 litri

Power per liter

Pl=Pn/Vt= 102,941 kW/l

Indicated diagram:

Volume at the end of the intake stroke

Va=Vh*e/(e-1)=

0,75 dm^3

Volume at the end of compression stroke

Vc=Va/e=

0,075 dm^3

px=pa(Va/Vx)^n1

px=pc(Vc/Vx)^n2

It is adopted:

Ignition advance angle {20...40oRAC}

Advance angle at OEV

αs= 30 oRAC 0,524 rad The ratio between the crank radius

and length of the piston rod αev= 60 oRAC 1,047 rad

lb= 1/3,6 0,278

Xs=S/2{(1-cos(αs))+ls/4(1-cos(2αs))}=

8,8 mm

pc"={1,15...1,25}pc=1,2pc=

47,14 *10^5 N/m2

Xev=S/2{(1-cos(αev))-ls/4*(1-cos(2αev))}=

20,67 mm

pa'=1/2(pa+pb)= 5,34 *10^5 N/m2

Page | 6

α = Rotation angle of

the crankshaft

b = Angle betweenn the

rod and the axis

ω = Angular velocity

of the crankshaft

S = Piston stroke

L = Rod length

r = Crank radius

= 680, 68 rad/s

= 0,05 m

= 0,179856

= 0,0064 m^2

Page | 7

Piston movement

Volume of the cylinder at a given moment

Piston velocity

Maximum velocity angle

Piston acceleration

Page | 8

D= 0,1000 m

S= 0,1000 m

Ap= 0,0064 m^2

n= 6500 rot/min

p0= 120000 N/m^2

pa= 160000 N/m^2

pr= 140000 N/m^2

pz= 16138100 N/m^2

pl'= 2477100 N/m^2

mp= 0,576 kg

mb= 1,024 kg

mAC= 1,088 kg

lb= 0,278

n1= 1,39

n2= 1,25

Va= 0,750

Vc= 0,0750

Vz= 0,0750

Vt= 2,720

mj = mp+m1b =

0,8576 kg/m2

m1b = 0.275mb=

0,2816 kg/m2

m2b =`0.725mb=

0,7424 kg/m2

vp=Rω*(sinα+(l/2)*sin2α)

Piston velocity

ap=Rω^2*(cosα+l*cos2α)

Piston acceleration

b=arcsin(lsinα)

Angle between rod and vertical axis

Page | 9

Gas forces

Fg=(pg-p0)*Ap

Inertial force Fj=-mjRω^2(cosα+lcos2α)

Total force

F=Fg+Fj

Normal force at the axis of the rod N=Ftgb

Force on the axis of the rod S=F/cosb

Tangential force

T=Ssin(α+b)

Radial force

Z=Scos(α+b)

Torque of the force N

M=T*R

Tangential force

T=Ssin(α+b)

Radial force

Z=Scos(α+b)

Centrifugal force

Fcb=-m2bRω^2

Fcb= -17198,63 N

Rm^2=(Z^2-Fcb^2)-T^2

Angle difference between bends 180 degrees

Cylinder working order 1-3-4-2-1

alfa Cil

0 Intake Compression Expansion Exhaust 1

180 Compression Expansion Exhaust Intake 2

540 Exhaust Intake Compression Expansion 3

360 Expansion Exhaust Intake Compression 4

Page | 10

alfa Xp Vx px

grd m l N/m2

0 0,00000 0,07500 102000

10 0,00097 0,08121 160000

20 0,00383 0,09951 160000

30 0,00844 0,12902 160000

40 0,01457 0,16825 160000

50 0,02194 0,21542 160000

60 0,03021 0,26834 160000

70 0,03904 0,32486 160000

80 0,04806 0,38258 160000

90 0,05695 0,43948 160000

100 0,06542 0,49369 160000

110 0,07324 0,54374 160000

120 0,08021 0,58834 160000

130 0,08622 0,62681 160000

140 0,09117 0,65849 160000

150 0,09504 0,68326 160000

160 0,09780 0,70092 160000

170 0,09945 0,71148 160000

180 0,10000 0,71500 160000

190 0,09945 0,71148 172166,635

200 0,09780 0,70092 175782,643

210 0,09504 0,68326 182129,629

220 0,09117 0,65849 191721,921

230 0,08622 0,62681 205322,345

240 0,08021 0,58834 224218,631

250 0,07324 0,54374 250184,993

260 0,06542 0,49369 286123,560

270 0,05695 0,43948 336333,222

280 0,04806 0,38258 407822,510

290 0,03904 0,32486 511914,422

300 0,03021 0,26834 667701,591

310 0,02194 0,21542 906123,865

320 0,01457 0,16825 1277549,062

330 0,00844 0,12902 1847744,238

340 0,00383 0,09951 2651065,081

350 0,00097 0,08121 3516397,148

360 0,00000 0,07500 3928000,000

370 0,00097 0,08121 16138145,205

380 0,00383 0,09951 11333017,873

390 0,00844 0,12902 8191391,527

400 0,01457 0,16825 5878075,234

410 0,02194 0,21542 4315900,806

420 0,03021 0,26834 3279610,077

430 0,03904 0,32486 2582609,127

440 0,04806 0,38258 2105116,586

Page | 11

alfa Xp Vx px

grd m l N/m2

450 0,05695 0,43948 1770129,691

460 0,06542 0,49369 1530597,743

470 0,07324 0,54374 1356562,720

480 0,08021 0,58834 1229259,324

490 0,08622 0,62681 1135688,128

500 0,09117 0,65849 1067806,356

510 0,09504 0,68326 1019639,111

520 0,09780 0,70092 987628,050

530 0,09945 0,71148 969338,832

540 0,10000 0,71500 534000,000

550 0,09945 0,71148 140000

560 0,09780 0,70092 140000

570 0,09504 0,68326 140000

580 0,09117 0,65849 140000

590 0,08622 0,62681 140000

600 0,08021 0,58834 140000

610 0,07324 0,54374 140000

620 0,06542 0,49369 140000

630 0,05695 0,43948 140000

640 0,04806 0,38258 140000

650 0,03904 0,32486 140000

660 0,03021 0,26834 140000

670 0,02194 0,21542 140000

680 0,01457 0,16825 140000

690 0,00844 0,12902 140000

700 0,00383 0,09951 140000

710 0,00097 0,08121 140000

720 0,00000 0,07500 120000

Page | 12

0

2000000

4000000

6000000

8000000

10000000

12000000

14000000

16000000

18000000

0 60 120 180 240 300 360 420 480 540 600 660 720

p [N/m2]

α[RAC°]

Pressure variation

Page | 13

0

2000000

4000000

6000000

8000000

10000000

12000000

14000000

16000000

18000000

0,00 0,10 0,20 0,30 0,40 0,50 0,60 0,70 0,80

px[N/m^2]

Vx[l]

Indicated Diagram

Page | 14

Piston movement

0,000

0,020

0,040

0,060

0,080

0,100

0,120

0 40 80 120 160 200 240 280 320 360 400 440 480 520 560 600 640 680 720

Xp[m]

a[°]

Page | 15

vp ap ap I ap II

m/s m/s^2 m/s^2 m/s^2

0,000 29606,484 23166,263 6440,221

6,719 28866,144 22814,316 6051,828

13,161 26702,662 21769,167 4933,496

19,065 23282,683 20062,572 3220,111

24,206 18864,720 17746,387 1118,333

28,401 13772,654 14890,987 -1118,333

31,523 8363,021 11583,132 -3220,111

33,502 2989,833 7923,329 -4933,496

34,326 -2029,049 4022,779 -6051,828

34,034 -6440,221 0,000 -6440,221

32,708 -10074,608 -4022,779 -6051,828

30,461 -12856,824 -7923,329 -4933,496

27,426 -14803,242 -11583,132 -3220,111

23,742 -16009,320 -14890,987 -1118,333

19,547 -16628,054 -17746,387 1118,333

14,969 -16842,462 -20062,572 3220,111

10,120 -16835,671 -21769,167 4933,496

5,101 -16762,487 -22814,316 6051,828

0,000 -16726,042 -23166,263 6440,221

-5,101 -16762,487 -22814,316 6051,828

-10,120 -16835,671 -21769,167 4933,496

-14,969 -16842,462 -20062,572 3220,111

-19,547 -16628,054 -17746,387 1118,333

-23,742 -16009,320 -14890,987 -1118,333

-27,426 -14803,242 -11583,132 -3220,111

-30,461 -12856,824 -7923,329 -4933,496

-32,708 -10074,608 -4022,779 -6051,828

-34,034 -6440,221 0,000 -6440,221

-34,326 -2029,049 4022,779 -6051,828

-33,502 2989,833 7923,329 -4933,496

-31,523 8363,021 11583,132 -3220,111

-28,401 13772,654 14890,987 -1118,333

-24,206 18864,720 17746,387 1118,333

-19,065 23282,683 20062,572 3220,111

-13,161 26702,662 21769,167 4933,496

-6,719 28866,144 22814,316 6051,828

0,000 29606,484 23166,263 6440,221

6,719 28866,144 22814,316 6051,828

13,161 26702,662 21769,167 4933,496

19,065 23282,683 20062,572 3220,111

24,206 18864,720 17746,387 1118,333

28,401 13772,654 14890,987 -1118,333

31,523 8363,021 11583,132 -3220,111

33,502 2989,833 7923,329 -4933,496

34,326 -2029,049 4022,779 -6051,828

Page | 16

vp ap ap I ap II

m/s m/s^2 m/s^2 m/s^2

34,034 -6440,221 0,000 -6440,221

32,708 -10074,608 -4022,779 -6051,828

30,461 -12856,824 -7923,329 -4933,496

27,426 -14803,242 -11583,132 -3220,111

23,742 -16009,320 -14890,987 -1118,333

19,547 -16628,054 -17746,387 1118,333

14,969 -16842,462 -20062,572 3220,111

10,120 -16835,671 -21769,167 4933,496

5,101 -16762,487 -22814,316 6051,828

0,000 -16726,042 -23166,263 6440,221

-5,101 -16762,487 -22814,316 6051,828

-10,120 -16835,671 -21769,167 4933,496

-14,969 -16842,462 -20062,572 3220,111

-19,547 -16628,054 -17746,387 1118,333

-23,742 -16009,320 -14890,987 -1118,333

-27,426 -14803,242 -11583,132 -3220,111

-30,461 -12856,824 -7923,329 -4933,496

-32,708 -10074,608 -4022,779 -6051,828

-34,034 -6440,221 0,000 -6440,221

-34,326 -2029,049 4022,779 -6051,828

-33,502 2989,833 7923,329 -4933,496

-31,523 8363,021 11583,132 -3220,111

-28,401 13772,654 14890,987 -1118,333

-24,206 18864,720 17746,387 1118,333

-19,065 23282,683 20062,572 3220,111

-13,161 26702,662 21769,167 4933,496

-6,719 28866,144 22814,316 6051,828

0,000 29606,484 23166,263 6440,221

Page | 17

-27500-25000-22500-20000-17500-15000-12500-10000-7500-5000-2500

0250050007500

10000125001500017500200002250025000275003000032500

0 60 120 180 240 300 360 420 480 540 600 660 720

ap,ap I,ap II [m/s^2]

a[°]

Piston acceleration of order I and II

Ap

ApI

ApII

-50,000

-40,000

-30,000

-20,000

-10,000

0,000

10,000

20,000

30,000

40,000

50,000

0 40 80 120 160 200 240 280 320 360 400 440 480 520 560 600 640 680 720

Vp[m/s]

a[°]

Piston velocity

Page | 18

Fg Fj Fj I Fj II F

[N] [N] [N] [N] [N]

-115,200 -25390,521 -19867,387 -5523,134 -25505,721

256,000 -24755,605 -19565,557 -5190,048 -24499,605

256,000 -22900,203 -18669,237 -4230,966 -22644,203

256,000 -19967,229 -17205,662 -2761,567 -19711,229

256,000 -16178,384 -15219,302 -959,082 -15922,384

256,000 -11811,428 -12770,510 959,082 -11555,428

256,000 -7172,127 -9933,694 2761,567 -6916,127

256,000 -2564,081 -6795,047 4230,966 -2308,081

256,000 1740,112 -3449,936 5190,048 1996,112

256,000 5523,134 0,000 5523,134 5779,134

256,000 8639,984 3449,936 5190,048 8895,984

256,000 11026,012 6795,047 4230,966 11282,012

256,000 12695,260 9933,694 2761,567 12951,260

256,000 13729,592 12770,510 959,082 13985,592

256,000 14260,220 15219,302 -959,082 14516,220

256,000 14444,095 17205,662 -2761,567 14700,095

256,000 14438,271 18669,237 -4230,966 14694,271

256,000 14375,509 19565,557 -5190,048 14631,509

256,000 14344,254 19867,387 -5523,134 14600,254

333,866 14375,509 19565,557 -5190,048 14709,375

357,009 14438,271 18669,237 -4230,966 14795,280

397,630 14444,095 17205,662 -2761,567 14841,725

459,020 14260,220 15219,302 -959,082 14719,240

546,063 13729,592 12770,510 959,082 14275,655

666,999 12695,260 9933,694 2761,567 13362,259

833,184 11026,012 6795,047 4230,966 11859,196

1063,191 8639,984 3449,936 5190,048 9703,175

1384,533 5523,134 0,000 5523,134 6907,667

1842,064 1740,112 -3449,936 5190,048 3582,176

2508,252 -2564,081 -6795,047 4230,966 -55,829

3505,290 -7172,127 -9933,694 2761,567 -3666,837

5031,193 -11811,428 -12770,510 959,082 -6780,235

7408,314 -16178,384 -15219,302 -959,082 -8770,070

11057,563 -19967,229 -17205,662 -2761,567 -8909,666

16198,817 -22900,203 -18669,237 -4230,966 -6701,386

21736,942 -24755,605 -19565,557 -5190,048 -3018,663

24371,200 -25390,521 -19867,387 -5523,134 -1019,321

102516,129 -24755,605 -19565,557 -5190,048 77760,524

71763,314 -22900,203 -18669,237 -4230,966 48863,111

51656,906 -19967,229 -17205,662 -2761,567 31689,677

36851,681 -16178,384 -15219,302 -959,082 20673,297

26853,765 -11811,428 -12770,510 959,082 15042,337

20221,504 -7172,127 -9933,694 2761,567 13049,377

15760,698 -2564,081 -6795,047 4230,966 13196,617

12704,746 1740,112 -3449,936 5190,048 14444,858

Page | 19

Fg Fj Fj I Fj II F

[N] [N] [N] [N] [N]

10560,830 5523,134 0,000 5523,134 16083,964

9027,826 8639,984 3449,936 5190,048 17667,810

7914,001 11026,012 6795,047 4230,966 18940,013

7099,260 12695,260 9933,694 2761,567 19794,520

6500,404 13729,592 12770,510 959,082 20229,996

6065,961 14260,220 15219,302 -959,082 20326,181

5757,690 14444,095 17205,662 -2761,567 20201,785

5552,820 14438,271 18669,237 -4230,966 19991,091

5435,769 14375,509 19565,557 -5190,048 19811,278

2649,600 14344,254 19867,387 -5523,134 16993,854

128,000 14375,509 19565,557 -5190,048 14503,509

128,000 14438,271 18669,237 -4230,966 14566,271

128,000 14444,095 17205,662 -2761,567 14572,095

128,000 14260,220 15219,302 -959,082 14388,220

128,000 13729,592 12770,510 959,082 13857,592

128,000 12695,260 9933,694 2761,567 12823,260

128,000 11026,012 6795,047 4230,966 11154,012

128,000 8639,984 3449,936 5190,048 8767,984

128,000 5523,134 0,000 5523,134 5651,134

128,000 1740,112 -3449,936 5190,048 1868,112

128,000 -2564,081 -6795,047 4230,966 -2436,081

128,000 -7172,127 -9933,694 2761,567 -7044,127

128,000 -11811,428 -12770,510 959,082 -11683,428

128,000 -16178,384 -15219,302 -959,082 -16050,384

128,000 -19967,229 -17205,662 -2761,567 -19839,229

128,000 -22900,203 -18669,237 -4230,966 -22772,203

128,000 -24755,605 -19565,557 -5190,048 -24627,605

0,000 -25390,521 -19867,387 -5523,134 -25390,521

Page | 20

-40000

-20000

0

20000

40000

60000

80000

100000

0 40 80 120 160 200 240 280 320 360 400 440 480 520 560 600 640 680 720

F[N]

a[°]

Total force

Page | 21

-30000

-25000

-20000

-15000

-10000

-5000

0

5000

10000

15000

20000

25000

0 60 120 180 240 300 360 420 480 540 600 660 720

Fj,Fj I,Fj II [N]

a[°]

Inertial forces of order I and II

Fj

Fj I

Fj II

Page | 22

-40000

-20000

0

20000

40000

60000

80000

100000

120000

0 40 80 120 160 200 240 280 320 360 400 440 480 520 560 600 640 680 720

Fg;Fj;F[N]

a[°]

Cylinder forces

Fg

Fj

F

Page | 23

Beta N S/10 T/10 Z/10

[grd] [N] [N] [N] [N]

0,000 0,000 -2550,572 0,00 -2550,57

2,767 -1184,086 -2452,820 -542,04 -2392,18

5,456 -2162,839 -2274,726 -977,72 -2053,89

7,990 -2766,724 -1990,445 -1225,17 -1568,71

10,294 -2891,865 -1618,287 -1245,00 -1033,84

12,296 -2518,646 -1182,673 -1047,09 -549,83

13,931 -1715,540 -712,572 -684,73 -197,24

15,143 -624,627 -239,111 -238,25 -20,25

15,889 568,193 207,541 206,45 -21,29

16,141 1672,542 601,629 577,91 -167,25

15,889 2532,241 924,937 832,11 -403,85

15,143 3053,206 1168,785 955,74 -672,77

13,931 3212,550 1334,375 960,98 -925,78

12,296 3048,329 1431,395 875,42 -1132,49

10,294 2636,474 1475,370 731,12 -1281,48

7,990 2063,347 1484,420 556,31 -1376,23

5,456 1403,509 1476,115 370,69 -1428,81

2,767 707,153 1464,859 184,43 -1453,20

0,000 0,000 1460,025 0,00 -1460,03

-2,767 -710,916 1472,654 -185,41 -1460,94

-5,456 -1413,157 1486,261 -373,23 -1438,63

-7,990 -2083,227 1498,722 -561,67 -1389,49

-10,294 -2673,347 1496,004 -741,34 -1299,40

-12,296 -3111,552 1461,082 -893,57 -1155,98

-13,931 -3314,498 1376,720 -991,48 -955,16

-15,143 -3209,407 1228,580 -1004,63 -707,19

-15,889 -2762,008 1008,862 -907,61 -440,50

-16,141 -1999,152 719,114 -690,77 -199,92

-15,889 -1019,666 372,447 -370,48 -38,21

-15,143 15,109 -5,784 5,76 -0,49

-13,931 909,556 -377,796 363,04 -104,57

-12,296 1477,834 -693,942 614,39 -322,62

-10,294 1592,843 -891,354 685,75 -569,44

-7,990 1250,586 -899,701 553,79 -709,07

-5,456 640,076 -673,188 289,35 -607,83

-2,767 145,895 -302,219 66,79 -294,75

0,000 0,000 -101,932 0,00 -101,93

2,767 3758,231 7785,129 1720,41 7592,66

5,456 4667,113 4908,549 2109,78 4432,01

7,990 4448,054 3200,033 1969,70 2522,00

10,294 3754,738 2101,150 1616,48 1342,32

12,296 3278,660 1539,550 1363,06 715,74

13,931 3236,888 1344,484 1291,95 372,15

15,143 3571,348 1367,133 1362,22 115,75

15,889 4111,728 1501,866 1493,94 -154,09

16,141 4654,869 1674,400 1608,40 -465,49

15,889 5029,141 1836,964 1652,61 -802,07

15,143 5125,660 1962,133 1604,47 -1129,44

Page | 24

Beta N S/10 T/10 Z/10

[grd] [N] [N] [N] [N]

13,931 4910,016 2039,439 1468,75 -1414,95

12,296 4409,373 2070,496 1266,28 -1638,14

10,294 3691,694 2065,871 1023,74 -1794,37

7,990 2835,580 2039,982 764,52 -1891,30

5,456 1909,430 2008,207 504,31 -1943,85

2,767 957,496 1983,440 249,72 -1967,66

0,000 0,000 1699,385 0,00 -1699,39

-2,767 -700,967 1452,044 -182,82 -1440,49

-5,456 -1391,283 1463,256 -367,46 -1416,37

-7,990 -2045,381 1471,494 -551,47 -1364,25

-10,294 -2613,226 1462,361 -724,67 -1270,18

-12,296 -3020,430 1418,294 -867,40 -1122,13

-13,931 -3180,800 1321,187 -951,49 -916,63

-15,143 -3018,566 1155,525 -944,89 -665,14

-15,889 -2495,806 911,628 -820,14 -398,04

-16,141 -1635,498 588,304 -565,11 -163,55

-15,889 -531,758 194,232 -193,21 -19,93

-15,143 659,267 -252,371 251,46 -21,37

-13,931 1747,290 -725,760 697,40 -200,89

-12,296 2546,545 -1195,773 1058,69 -555,92

-10,294 2915,113 -1631,296 1255,01 -1042,15

-7,990 2784,691 -2003,371 1233,12 -1578,89

-5,456 2175,065 -2287,584 983,24 -2065,50

-2,767 1190,273 -2465,635 544,87 -2404,68

0,000 0,000 -2539,052 0,00 -2539,05

Page | 25

-4000

-3500

-3000

-2500

-2000

-1500

-1000

-500

0

500

1000

1500

2000

2500

3000

3500

4000

4500

5000

5500

6000

6500

7000

7500

8000

8500

0 40 80 120 160 200 240 280 320 360 400 440 480 520 560 600 640 680 720

N;S[N]

a[°]

N - S

N

S

Page | 26

-3500-3000-2500-2000-1500-1000-500

0500

1000150020002500300035004000450050005500600065007000750080008500

0 60 120 180 240 300 360 420 480 540 600 660 720

T/10;Z/10

a[°]

T-Z

T/10

Z/10

Page | 27

-3500

-3000

-2500

-2000

-1500

-1000

-500

0

500

1000

1500

2000

2500

3000

3500

4000

4500

5000

5500

6000

6500

7000

7500

8000

8500

-1500 -1000 -500 0 500 1000 1500 2000 2500

Z/1

0 [

N]

T/10 [N]

Polar diagram of crankpin

Page | 28

alfa M/10 M1 M2 M3 M4 Mtot Rm

Rmme

d

grd [Nm] [Nm] [Nm] [Nm] [Nm] [Nm] [N] [N]

0 0,000 0,000 0,000 0,000 0,000 0,000 8307,07 14656,6

10 -27,102 -27,102 -9,271 -9,141 86,021 40,507 24528,2 14656,6

20 -48,886 -48,886 -18,662 -18,373 105,489 19,568 22747,3 14656,6

30 -61,259 -61,259 -28,084 -27,574 98,485 -18,432 19904,5 14656,6

40 -62,250 -62,250 -37,067 -36,234 80,824 -54,727 16182,8 14656,6

50 -52,355 -52,355 -44,679 -43,370 68,153 -72,251 11826,7 14656,6

60 -34,237 -34,237 -49,574 -47,575 64,598 -66,788 7126,00 14656,6

70 -11,913 -11,913 -50,232 -47,245 68,111 -41,279 2413,01 14656,6

80 10,323 10,323 -45,381 -41,007 74,697 -1,368 2075,65 14656,6

90 28,896 28,896 -34,539 -28,256 80,420 46,521 6017,08 14656,6

100 41,606 41,606 -18,524 -9,661 82,631 96,052 9251,08 14656,6

110 47,787 47,787 0,288 12,573 80,224 140,872 11687,8 14656,6

120 48,049 48,049 18,152 34,870 73,438 174,509 13343,7 14656,6

130 43,771 43,771 30,720 52,935 63,314 190,740 14313,9 14656,6

140 36,556 36,556 34,288 62,751 51,187 184,782 14753,7 14656,6

150 27,816 27,816 27,690 61,656 38,226 155,388 14844,1 14656,6

160 18,535 18,535 14,468 49,162 25,216 107,381 14761,1 14656,6

170 9,222 9,222 3,340 27,244 12,486 52,292 14648,5 14656,6

180 0,000 0,000 0,000 0,000 0,000 0,000 14600,3 14656,6

190 -9,271 -9,271 86,021 -27,102 -9,141 40,507 14726,5 14656,6

200 -18,662 -18,662 105,489 -48,886 -18,373 19,568 14862,5 14656,6

210 -28,084 -28,084 98,485 -61,259 -27,574 -18,432 14987,1 14656,6

220 -37,067 -37,067 80,824 -62,250 -36,234 -54,727 14960,0 14656,6

230 -44,679 -44,679 68,153 -52,355 -43,370 -72,251 14610,8 14656,6

240 -49,574 -49,574 64,598 -34,237 -47,575 -66,788 13767,2 14656,6

250 -50,232 -50,232 68,111 -11,913 -47,245 -41,279 12285,7 14656,6

260 -45,381 -45,381 74,697 10,323 -41,007 -1,368 10088,5 14656,6

270 -34,539 -34,539 80,420 28,896 -28,256 46,521 7191,18 14656,6

280 -18,524 -18,524 82,631 41,606 -9,661 96,052 3724,45 14656,6

290 0,288 0,288 80,224 47,787 12,573 140,872 57,81 14656,6

300 18,152 18,152 73,438 48,049 34,870 174,509 3778,00 14656,6

310 30,720 30,720 63,314 43,771 52,935 190,740 6939,44 14656,6

320 34,288 34,288 51,187 36,556 62,751 184,782 8913,56 14656,6

330 27,690 27,690 38,226 27,816 61,656 155,388 8997,02 14656,6

340 14,468 14,468 25,216 18,535 49,162 107,381 6731,87 14656,6

350 3,340 3,340 12,486 9,222 27,244 52,292 3022,23 14656,6

360 0,000 0,000 0,000 0,000 0,000 0,000 1019,30 14656,6

370 86,021 86,021 -9,141 -9,271 -27,102 40,507 77851,3 14656,6

380 105,489 105,489 -18,373 -18,662 -48,886 19,568 49085,5 14656,6

390 98,485 98,485 -27,574 -28,084 -61,259 -18,432 32000,3 14656,6

400 80,824 80,824 -36,234 -37,067 -62,250 -54,727 21011,5 14656,6

410 68,153 68,153 -43,370 -44,679 -52,355 -72,251 15395,5 14656,6

420 64,598 64,598 -47,575 -49,574 -34,237 -66,788 13444,8 14656,6

430 68,111 68,111 -47,245 -50,232 -11,913 -41,279 13671,2 14656,6

440 74,697 74,697 -41,007 -45,381 10,323 -1,368 15018,6 14656,6

450 80,420 80,420 -28,256 -34,539 28,896 46,521 16744,0 14656,6

460 82,631 82,631 -9,661 -18,524 41,606 96,052 18369,6 14656,6

Page | 29

alfa M/10 M1 M2 M3 M4 Mtot Rm

Rmme

d

grd [Nm] [Nm] [Nm] [Nm] [Nm] [Nm] [N] [N]

470 80,224 80,224 12,573 0,288 47,787 140,872 19621,3 14656,6

480 73,438 73,438 34,870 18,152 48,049 174,509 20394,3 14656,6

490 63,314 63,314 52,935 30,720 43,771 190,740 20704,9 14656,6

500 51,187 51,187 62,751 34,288 36,556 184,782 20658,6 14656,6

510 38,226 38,226 61,656 27,690 27,816 155,388 20399,7 14656,6

520 25,216 25,216 49,162 14,468 18,535 107,381 20082,0 14656,6

530 12,486 12,486 27,244 3,340 9,222 52,292 19834,4 14656,6

540 0,000 0,000 0,000 0,000 0,000 0,000 16993,9 14656,6

550 -9,141 -9,141 -27,102 86,021 -9,271 40,507 14520,4 14656,6

560 -18,373 -18,373 -48,886 105,489 -18,662 19,568 14632,6 14656,6

570 -27,574 -27,574 -61,259 98,485 -28,084 -18,432 14714,9 14656,6

580 -36,234 -36,234 -62,250 80,824 -37,067 -54,727 14623,6 14656,6

590 -43,370 -43,370 -52,355 68,153 -44,679 -72,251 14182,9 14656,6

600 -47,575 -47,575 -34,237 64,598 -49,574 -66,788 13211,9 14656,6

610 -47,245 -47,245 -11,913 68,111 -50,232 -41,279 11555,2 14656,6

620 -41,007 -41,007 10,323 74,697 -45,381 -1,368 9116,28 14656,6

630 -28,256 -28,256 28,896 80,420 -34,539 46,521 5883,01 14656,6

640 -9,661 -9,661 41,606 82,631 -18,524 96,052 1942,35 14656,6

650 12,573 12,573 47,787 80,224 0,288 140,872 2523,66 14656,6

660 34,870 34,870 48,049 73,438 18,152 174,509 7257,57 14656,6

670 52,935 52,935 43,771 63,314 30,720 190,740 11957,7 14656,6

680 62,751 62,751 36,556 51,187 34,288 184,782 16312,9 14656,6

690 61,656 61,656 27,816 38,226 27,690 155,388 20033,6 14656,6

700 49,162 49,162 18,535 25,216 14,468 107,381 22875,8 14656,6

710 27,244 27,244 9,222 12,486 3,340 52,292 24656,3 14656,6

720 0,000 0,000 0,000 0,000 0,000 0,000 25390,5 14656,6

Page | 30

-80

-60

-40

-20

0

20

40

60

80

100

120

0 60 120 180 240 300 360 420 480 540 600 660 720

M/10 [Nm]

a[°]

Single cylinder moment

-100

-75

-50

-25

0

25

50

75

100

125

150

175

200

225

0 60 120 180 240 300 360 420 480 540 600 660 720

Mtot[N/m]

a[°]

Total moment

Page | 31

alfa T1 Z1 T2 Z2 T' Z' Rp Rpmed

grd [N] [N] [N] [N] [N] [N] [N] [N]

0 0,00 -25505,70 0,00 -14600,30 1,5624E-12 -5452,70 5452,70 8924

10 -5420,40 -23921,80 -1854,10 -14609,40 -1,7832E+03 -4656,20 4985,98 8924

20 -9777,20 -20538,90 -3732,30 -14386,30 -3,0225E+03 -3076,30 4312,67 8924

30 -12251,70 -15687,10 -5616,70 -13894,90 -3,3175E+03 -896,10 3436,39 8924

40 -12450,00 -10338,40 -7413,40 -12994,00 -2,5183E+03 1327,80 2846,91 8924

50 -10470,90 -5498,30 -8935,70 -11559,80 -7,6760E+02 3030,75 3126,44 8924

60 -6847,30 -1972,40 -9914,80 -9551,60 1,5338E+03 3789,60 4088,23 8924

70 -2382,50 -202,50 -10046,30 -7071,90 3,8319E+03 3434,70 5145,93 8924

80 2064,50 -212,90 -9076,10 -4405,00 5,5703E+03 2096,05 5951,61 8924

90 5779,10 -1672,50 -6907,70 -1999,20 6,3434E+03 163,35 6345,50 8924

100 8321,10 -4038,50 -3704,80 -382,10 6,0130E+03 -1828,20 6284,78 8924

110 9557,40 -6727,70 57,60 -4,90 4,7499E+03 -3361,40 5818,98 8924

120 9609,80 -9257,80 3630,40 -1045,70 2,9897E+03 -4106,05 5079,17 8924

130 8754,20 -11324,90 6143,90 -3226,20 1,3052E+03 -4049,35 4254,50 8924

140 7311,20 -12814,80 6857,50 -5694,40 2,2685E+02 -3560,20 3567,42 8924

150 5563,10 -13762,30 5537,90 -7090,70 1,2600E+01 -3335,80 3335,82 8924

160 3706,90 -14288,10 2893,50 -6078,30 4,0670E+02 -4104,90 4125,00 8924

170 1844,30 -14532,00 667,90 -2947,50 5,8820E+02 -5792,25 5822,04 8924

180 0,00 -14600,30 0,00 -1019,30 8,9438E-13 -6790,50 6790,50 8924

190 -1854,10 -14609,40 17204,10 75926,60 -9,5291E+03 -45268,00 46260,09 8924

200 -3732,30 -14386,30 21097,80 44320,10 -1,2415E+04 -29353,20 31870,72 8924

210 -5616,70 -13894,90 19697,00 25220,00 -1,2657E+04 -19557,45 23295,78 8924

220 -7413,40 -12994,00 16164,80 13423,20 -1,1789E+04 -13208,60 17704,45 8924

230 -8935,70 -11559,80 13630,60 7157,40 -1,1283E+04 -9358,60 14659,11 8924

240 -9914,80 -9551,60 12919,50 3721,50 -1,1417E+04 -6636,55 13205,74 8924

250 -10046,30 -7071,90 13622,20 1157,50 -1,1834E+04 -4114,70 12528,94 8924

260 -9076,10 -4405,00 14939,40 -1540,90 -1,2008E+04 -1432,05 12093,09 8924

270 -6907,70 -1999,20 16084,00 -4654,90 -1,1496E+04 1327,85 11572,43 8924

280 -3704,80 -382,10 16526,10 -8020,70 -1,0115E+04 3819,30 10812,04 8924

290 57,60 -4,90 16044,70 -11294,40 -7,9936E+03 5644,75 9785,75 8924

300 3630,40 -1045,70 14687,50 -14149,50 -5,5286E+03 6551,90 8572,79 8924

310 6143,90 -3226,20 12662,80 -16381,40 -3,2595E+03 6577,60 7340,92 8924

320 6857,50 -5694,40 10237,40 -17943,70 -1,6900E+03 6124,65 6353,54 8924

330 5537,90 -7090,70 7645,20 -18913,00 -1,0537E+03 5911,15 6004,33 8924

340 2893,50 -6078,30 5043,10 -19438,50 -1,0748E+03 6680,10 6766,01 8924

350 667,90 -2947,50 2497,20 -19676,60 -9,1465E+02 8364,55 8414,41 8924

360 0,00 -1019,30 0,00 -16993,90 6,2440E-14 7987,30 7987,30 8924

370 17204,10 75926,60 -1828,20 -14404,90 9,5161E+03 45165,75 46157,35 8924

380 21097,80 44320,10 -3674,60 -14163,70 1,2386E+04 29241,90 31756,92 8924

390 19697,00 25220,00 -5514,70 -13642,50 1,2606E+04 19431,25 23162,14 8924

400 16164,80 13423,20 -7246,70 -12701,80 1,1706E+04 13062,50 17540,22 8924

410 13630,60 7157,40 -8674,00 -11221,30 1,1152E+04 9189,35 14450,30 8924

420 12919,50 3721,50 -9514,90 -9166,30 1,1217E+04 6443,90 12936,19 8924

430 13622,20 1157,50 -9448,90 -6651,40 1,1536E+04 3904,45 12178,84 8924

440 14939,40 -1540,90 -8201,40 -3980,40 1,1570E+04 1219,75 11634,12 8924

450 16084,00 -4654,90 -5651,10 -1635,50 1,0868E+04 -1509,70 10972,36 8924

460 16526,10 -8020,70 -1932,10 -199,30 9,2291E+03 -3910,70 10023,47 8924

470 16044,70 -11294,40 2514,60 -213,70 6,7651E+03 -5540,35 8744,26 8924

Page | 32

alfa T1 Z1 T2 Z2 T' Z' Rp Rpmed

grd [N] [N] [N] [N] [N] [N] [N] [N]

480 14687,50 -14149,50 6974,00 -2008,90 3,8568E+03 -6070,30 7191,90 8924

490 12662,80 -16381,40 10586,90 -5559,20 1,0380E+03 -5411,10 5509,76 8924

500 10237,40 -17943,70 12550,10 -10421,50 -1,1564E+03 -3761,10 3934,86 8924

510 7645,20 -18913,00 12331,20 -15788,90 -2,3430E+03 -1562,05 2815,96 8924

520 5043,10 -19438,50 9832,40 -20655,00 -2,3947E+03 608,25 2470,74 8924

530 2497,20 -19676,60 5448,70 -24046,80 -1,4758E+03 2185,10 2636,79 8924

540 0,00 -16993,90 0,00 -25390,50 1,0410E-12 4198,30 4198,30 8924

550 -1828,20 -14404,90 -5420,40 -23921,80 1,7961E+03 4758,45 5086,14 8924

560 -3674,60 -14163,70 -9777,20 -20538,90 3,0513E+03 3187,60 4412,62 8924

570 -5514,70 -13642,50 -12251,70 -15687,10 3,3685E+03 1022,30 3520,21 8924

580 -7246,70 -12701,80 -12450,00 -10338,40 2,6017E+03 -1181,70 2857,49 8924

590 -8674,00 -11221,30 -10470,90 -5498,30 8,9845E+02 -2861,50 2999,23 8924

600 -9514,90 -9166,30 -6847,30 -1972,40 -1,3338E+03 -3596,95 3836,28 8924

610 -9448,90 -6651,40 -2382,50 -202,50 -3,5332E+03 -3224,45 4783,36 8924

620 -8201,40 -3980,40 2064,50 -212,90 -5,1330E+03 -1883,75 5467,74 8924

630 -5651,10 -1635,50 5779,10 -1672,50 -5,7151E+03 18,50 5715,13 8924

640 -1932,10 -199,30 8321,10 -4038,50 -5,1266E+03 1919,60 5474,20 8924

650 2514,60 -213,70 9557,40 -6727,70 -3,5214E+03 3257,00 4796,70 8924

660 6974,00 -2008,90 9609,80 -9257,80 -1,3179E+03 3624,45 3856,62 8924

670 10586,90 -5559,20 8754,20 -11324,90 9,1635E+02 2882,85 3024,98 8924

680 12550,10 -10421,50 7311,20 -12814,80 2,6195E+03 1196,65 2879,89 8924

690 12331,20 -15788,90 5563,10 -13762,30 3,3841E+03 -1013,30 3532,55 8924

700 9832,40 -20655,00 3706,90 -14288,10 3,0628E+03 -3183,45 4417,59 8924

710 5448,70 -24046,80 1844,30 -14532,00 1,8022E+03 -4757,40 5087,32 8924

720 0,00 -25390,50 0,00 -14600,30 1,5554E-12 -5395,10 5395,10 8924

Page | 33

-10000

-7500

-5000

-2500

0

2500

5000

7500

10000

12500

15000

17500

20000

22500

25000

27500

30000

32500

35000

37500

40000

42500

45000

47500

50000

52500

55000

57500

60000

62500

65000

67500

70000

72500

75000

77500

80000

82500

0 60 120 180 240 300 360 420 480 540 600 660 720

Rm, Rmmediu [N]

a[°]

Resultant forces on crankpin

Rm

Rmmediu

Page | 34

0

2500

5000

7500

10000

12500

15000

17500

20000

22500

25000

27500

30000

32500

35000

37500

40000

42500

45000

47500

50000

0 60 120 180 240 300 360 420 480 540 600 660 720

Rp, Rpmed [N]

a[°]

Resultant forces of landing shaft

Rp

Rpmed

Page | 35

-50000

-46000

-42000

-38000

-34000

-30000

-26000

-22000

-18000

-14000

-10000

-6000

-2000

2000

6000

10000

14000

18000

22000

26000

30000

34000

38000

42000

46000

50000

-15000 -11000 -7000 -3000 1000 5000 9000 13000Z'[N]

T'[N]

Polar diagram of landing shaft

Page | 36

Nominal power

Pm= 280 [kW] RPM n= 6500 [rpm] Elasticity coefficient c= 0,6

Parameters depending on c:

c)/(2*(1-c)) 0,75 cc 1,5 c -1,25

Rotation at maximal torque nM=c*nm 3900 [rot/min]

Moment at maximal power Mm=P/ω 411,1601 [Nm]

Angular speed ωm= 681 [rad/s]

Maximum moment MM=Mm*[1+2*nM/nm+3*(nM/nm)^2] 404,7129 [Nm]

Specific consumption cmin= 340 [g/kw/h] c=cmin*MM/Me [g/kw/h]

C=Pe*c/1000 C[kg/h]

ωm=2*3.14*n/60 [rad/s]

n[rpm] Pe[KW] Me c[kg/kwh] C[kg/h] 1000 40,97 391,09 17,59216 0,01 1200 50,88 404,71 17,00012 0,02 1400 61,22 417,36 16,48485 0,02 1600 71,92 429,04 16,03608 0,02 1800 82,93 439,75 15,64552 0,03 2000 94,18 449,48 15,30684 0,03 2200 105,62 458,24 15,01423 0,03 2400 117,18 466,02 14,76357 0,03 2600 128,80 472,83 14,55094 0,04 2800 140,42 478,67 14,37341 0,04 3000 151,98 483,54 14,22864 0,04 3200 163,42 487,43 14,11509 0,05 3400 174,67 490,35 14,03104 0,05 3600 185,68 492,30 13,97546 0,05 3800 196,38 493,27 13,94798 0,05 4000 206,72 493,27 13,94798 0,06 4200 216,63 492,30 13,97546 0,06 4400 226,04 490,35 14,03104 0,06 4600 234,91 487,43 14,11509 0,07 4800 243,17 483,54 14,22864 0,07

Page | 37

n[rpm] Pe[KW] Me c[kg/kwh] C[kg/h]

5000 250,75 478,67 14,37341 0,07 5200 257,60 472,83 14,55094 0,07 5400 263,65 466,02 14,76357 0,08 5600 268,85 458,24 15,01423 0,08 5800 273,13 449,48 15,30684 0,08 6000 276,43 439,75 15,64552 0,09 6200 278,69 429,04 16,03608 0,09 6300 279,41 423,32 16,25276 0,09 6400 279,85 417,36 16,48485 0,09 6500 280,00 411,16 16,73343 0,09 6600 279,85 404,71 17,00012 0,10 6700 279,39 398,02 17,28586 0,10 6800 278,62 391,09 17,59216 0,10 6900 277,53 383,91 17,92118 0,10 7000 276,11 376,49 18,27437 0,10

Page | 38

0

50

100

150

200

250

300

0

100

200

300

400

500

600

1000 1500 2000 2500 3000 3500 4000 4500 5000 5500 6000 6500 7000

Pe[K

w]

Me[N

m],

c[k

g/k

wh

],C

[kg

/h]

n[rot/min]

External characteristic

Me c[kg/kwh] C[kg/h] Pe[KW]

Page | 39

Wearing diagram of the landing shaft and crankpin

Rm Angle = arctg(T/(Z+Fcb)) Rp Angle = arctg(T'/(Z'+Fcb)) Fcb =-m2b*ω^2*R= -1,2E+08

R= 50,76447 m ω= 680,3333

m2b= 5,075 kg

T [N] Z [N] T' [N] Z' [N] Rm [N] Rp [N] Rm Angle Rp Angle

0 -114532 62,4769 -44548,7 233776,5 44548,71 0 -5,2E-07

-19454,1 -109789 -6200,27 -35443,6 229858,2 35981,84 0,000163 5,2E-05

-35426,3 -96832,3 -8996,79 -24807,3 218961,9 26388,34 0,000297 7,54E-05

-45112,5 -77700,1 -7977,72 -13844,8 202045,6 15978,79 0,000378 6,69E-05

-46913,8 -55555,3 -3256,16 -3885,49 180986,1 5069,473 0,000393 2,73E-05

-40701,4 -33893,7 4604,221 3859,894 158455,1 6008,131 0,000341 -3,9E-05

-27767,8 -15875,2 14657,04 8448,134 137943,6 16917,44 0,000233 -0,00012

-10490,5 -3763,58 25688,86 9319,173 123454,9 27327 8,8E-05 -0,00022

8202,866 1405,518 36367,85 6364,183 118124,4 36920,5 -6,9E-05 -0,00031

25434,37 -124,954 45406,4 -62,4769 122049,3 45406,44 -0,00021 -0,00038

38901,44 -7053,52 51721,93 -9189,03 132153,6 52531,86 -0,00033 -0,00043

47217,66 -17432,7 54560,52 -19923,7 144603,7 58084,45 -0,0004 -0,00046

50010,55 -29157 53583,4 -30985,6 156601,9 61897,38 -0,00042 -0,00045

47784,28 -40401,5 48908,01 -41058,3 166644,1 63857,5 -0,0004 -0,00041

41613,52 -49909,8 41092,3 -48947,3 174198 63909,45 -0,00035 -0,00034

32771,43 -57081,9 31066,69 -53722 179346,2 62057,95 -0,00027 -0,00026

22401,93 -61868,3 20022,18 -54827 182493,2 58368,54 -0,00019 -0,00017

11322,85 -64532,8 9266,733 -52150,3 184126,1 52967,25 -9,5E-05 -7,8E-05

0 -65378,4 65,58633 -46039,3 184623,2 46039,37 0 -5,5E-07

-11324,5 -64542,4 -6518,37 -37267,6 184135,8 37833,34 9,49E-05 5,46E-05

-22414,6 -61903,4 -9767,93 -26939,5 182529,6 28655,74 0,000188 8,19E-05

-32814,1 -57156,3 -9419,53 -16356 179427,1 18874,48 0,000275 7,9E-05

-41715,2 -50031,7 -5732,46 -6852,82 174340,8 8934,325 0,00035 4,81E-05

-47984,9 -40571,1 489,0635 387,9318 166864,2 624,2389 0,000402 -4,1E-06

-50362 -29362 7959,584 4560,367 156908,5 9173,436 0,000422 -6,7E-05

-47785,7 -17642,4 15240,24 5495,708 144988,2 16200,85 0,000401 -0,00013

Page | 40

-39767,8 -7210,62 21717,12 3766,21 132561,1 22041,28 0,000333 -0,00018

-26700,2 -131,173 28591,61 -65,5863 122325,5 28591,68 0,000224 -0,00024

-9992,74 1712,202 -3852,69 653,4464 117956,6 3907,711 8,38E-05 3,23E-05

8024,291 -2878,79 11509,36 -4182,27 122386,9 12245,69 -6,7E-05 -9,7E-05

24444,27 -13975 19126,3 -10996,1 135443,9 22061,93 -0,0002 -0,00016

36326,11 -30250,3 24260,3 -20274 153845,2 31616,39 -0,0003 -0,0002

41346,93 -48963 23804,78 -28241,7 173215 36935,93 -0,00035 -0,0002

38482,68 -66281,2 18984,26 -32690,9 189475,1 37803,42 -0,00032 -0,00016

28633,84 -78266,2 11878,63 -32336,6 199575,8 34449,37 -0,00024 -1E-04

14743,04 -83202,1 4965,68 -27560,1 202983 28003,9 -0,00012 -4,2E-05

0 -83883,4 102,2849 -21121,6 203128,2 21121,85 0 -8,6E-07

-405,31 -2287,36 4509,49 24844,65 121532,8 25250,58 3,4E-06 -3,8E-05

-5485,75 -14994,4 7900,326 21330,61 134351,3 22746,65 4,6E-05 -6,6E-05

-8017,09 -13808,3 12967,31 22213,04 133294,4 25721 6,72E-05 -0,00011

-10297,7 -12194,5 17740,12 20974,35 131842 27470,62 8,63E-05 -0,00015

-7520,49 -6262,62 24056,74 20061,78 125732,5 31324,13 6,31E-05 -0,0002

899,3324 514,1577 31952,11 18343,02 118734 36842,96 -7,5E-06 -0,00027

13592,95 4876,595 40745,48 14730,92 115173,1 43326,6 -0,00011 -0,00034

28081,86 4811,677 46865,25 8165,152 117828,4 47571,22 -0,00024 -0,00039

41640,22 -204,57 53873,46 -102,285 126499,2 53873,56 -0,00035 -0,00045

51976,65 -9424,29 58414,14 -10401,5 138770,7 59332,99 -0,00044 -0,00049

57655,65 -21286,4 59723,92 -21830,4 151898,6 63588,62 -0,00048 -0,0005

58234,42 -33951,7 57552,9 -33301,1 163891,5 66492,87 -0,00049 -0,00048

54143,18 -45777,9 51964,34 -43643,9 173677,8 67860,76 -0,00045 -0,00044

46386,18 -55634 43341,58 -51647,3 180926,1 67423,58 -0,00039 -0,00036

36171,88 -63004,9 32623,7 -56437,8 185804,6 65188,44 -0,0003 -0,00027

24585,24 -67898 20980,95 -57481,9 188750,8 61191,28 -0,00021 -0,00018

11518,63 -65648,6 9271,638 -52195,4 185251,9 53012,5 -9,7E-05 -7,8E-05

0 -66106,7 62,07936 -45689,6 185351,5 45689,66 0 -5,2E-07

-11378,8 -64851,6 -6378,49 -36447,5 184447,7 37001,41 9,54E-05 5,35E-05

-22374,4 -61792,2 -9278,07 -25574,7 182414,4 27205,62 0,000188 7,78E-05

-32650,6 -56871,4 -8347,54 -14481,5 179117,2 16715,15 0,000274 7E-05

-41509,9 -49785,5 -3756,29 -4479,89 174052,6 5846,293 0,000348 3,15E-05

-47660,7 -40297 4009,104 3360,609 166508,6 5231,311 0,0004 -3,4E-05

-49870,7 -29075,5 13984,66 8059,102 156480 16140,62 0,000418 -0,00012

-47065,8 -17376,7 24959,21 9052,618 144501,2 26550,18 0,000395 -0,00021

-38742,2 -7024,65 35602,91 6228,822 132079,2 36143,68 0,000325 -0,0003

-25272,5 -124,159 44629,58 -62,0794 122014,9 44629,62 0,000212 -0,00037

-8043,35 1378,186 53244,17 689,0928 118140,7 53248,63 6,75E-05 -0,00045

10642,88 -3818,23 60215,77 -11636,1 123522,4 61329,76 -8,9E-05 -0,0005

27908,33 -15955,5 62370,3 -25690,9 138050,7 67454,25 -0,00023 -0,00052

Page | 41

40825,73 -33997,3 59262,91 -39554,9 158587,1 71250,83 -0,00034 -0,0005

47018,2 -55678,9 51286,73 -51296,3 181132,6 72537,19 -0,00039 -0,00043

45193,73 -77840 39543,73 -59270,7 202200,2 71251,13 -0,00038 -0,00033

35481,89 -96984,3 25678,52 -62376 219120,9 67454,85 -0,0003 -0,00022

19482,29 -109948 11622,94 -60219,3 230019,3 61330,7 -0,00016 -9,7E-05

0 -114532 -702,759 -53164,4 233776,5 53169,06 0 5,89E-06

-0,0006

-0,0005

-0,0004

-0,0003

-0,0002

-0,0001

0

0,0001

010 20 30 40

5060

7080

90100

110

120

130

140

150

160

170

180

190

200

210

220

230

240

250

260270

280290

300310

320330340350360370380390400

410420

430440

450460

470

480

490

500

510

520

530

540

550

560

570

580

590

600

610

620630

640650

660670

680690700710720

Wearing diagram of landing shaft

Rp

Page | 42

-0,0005

-0,0004

-0,0003

-0,0002

-0,0001

0

0,0001

0,0002

0,0003

0,0004

0,0005

010 20 30 40

5060

7080

90100

110120

130

140

150

160

170

180

190

200

210

220

230

240

250260

270280

290300

310320

330340350360370380390400410

420430

440450

460470

480

490

500

510

520

530

540

550

560

570

580

590

600

610620

630640

650660

670680

690700710720

Wearing diagram of crankpin

Rm

Page | 43

REFERENCES:

1. Abăitancei, Bobescu – Motoare pentru automobile, Editura didactică și pedagogica

București, 1975

2. Cornelui Cofaru, Nicolae Ispas, Mircea Năstăsoiu, Horia Abăitancei, Horea-Răzvan Anca,

Mihai Dogariu, Anghel Chiru, Vladimir Eni – Proiectarea Motoarelor pentru Autovehicule,

Universitatea ”Transilvania”

3. Hermann Hiereth, Peter Prenninger, Charging the Internal Combustion Engines 4. Heinz Heisler, Advanced Engine Technology