Calcul Proiectarea si Calcului Motoarelor cu Aprindere Interna

7/23/2019 Calcul Proiectarea si Calcului Motoarelor cu Aprindere Interna

1/18

Thermal calculus of a Spark Igniton Engine

Rated Power 66 kW

Rated Speed 5750 rpm

No. of cylinders i = 4 no.

Initial parameters

T0 = 293 K initial temperature

p0 = 1,02 initial pressure

Tr = 1000 K residual gases temperature

pr = 1,2 pressure of residual gases

= 0,9 excess air coefficient

= 10,2 compression ratio

Parameters of the change of gas process

There are chosen :

pa= 0,85 pressure at the end of admission

T = 25 C pre-heating of the mixturep = 1,1 afterburner coefficient

By calculus, there are determined the following coefficients:

Residual gases coefficient

0,05

The temperature at the end of admission

347,85 K

Filling coefficient

0,82

Compression parameters

It is chosen 1,36

The pressure at the end of the compression

20,00

The temperature at the end of the compression

802,58 K

=+

=

=+ +

1 + =

=

1

1 + =

= =

= =

=

=

10

=

N m

10

N m 10

10


2/18

Combustion parameters

There are chosen c= 0,854 kg composition of gasoline

h= 0,142 kg composition of gasoline

o= 0,004 kg composition of gasoline

43500 kJ/kg lower heating value

0,008772 kcal/kg molar mass of gasoline

= 0,85 coefficient of heat usage

= 4,2 coefficient of increasing the pressure

0,8 coefficient of correction of the pressure

The minimum mass of necessary air used to burn 1 kilo of fuel:

0,508

Necessary amount of air for burning the fuel:

0,457

Quantity of fresh mixture for 1 kilo of fuel:

0,466

Theoretical coefficient of molar variation of fresh mixture for


3/18

The specific heat released at incomplete burning of the fuel:

37400

The temperature at the end of the burning results from:

92496,50

The pressure at the end of burning process:

79,03

63,23

The increase of pressure coefficient:

3,95

Stroke parameters

It is chosen: 1,28

The pressure at the end of stroke:

4,04

The temperature at the end of stroke

1537 K

The main parameters of the engine

There are chosen: 0,96 the rounding coefficient of the diagram

0,8 mechanical efficiency

The average pressure of the theoretical cycle:

11,25

10,80

The indicated efficiency of the engine:

0,34

= = 61000 10 = 43500 61000 10 0.9 =

+ 1

+ =

=

=

= 18.83 10 1.08 2945

807.32= 10

= = 0.8 73,93 10 =

=

=

=

=

= 10

=

=

==

=

1

1 1

1

1

1 1

1

= 10

= =

=

=

10


4/18

The average effective pressure:

8,637

The effective efficiency of the engine:

0,270

Effective specific fuel consumption:

0,307 = 298

Basic dimensions of the engine

It is chosen the bore/stroke ratio: 0,99

It is determined the displacement of a cylinder:

0,40 l

There are determined the bore and the stroke:

0,801 dm = 80,1 mm

79,251922 mm

The average piston speed:

15,19 m/s

The engine total displacement:

1,59 l

The power litre engine:

41,39

= = 10

= =

= 3600

=

=

=

=120000

=

= 4

=

= =

= 30 =

= =

=

=


5/18

The indicated diagram:

The volume at the end of intake stroke:

0,44

The volume at the end of compression stroke:

0,043

Ignition advance angle:

30 RAC= 0,5236 rad

The exhaust opening advance angle:

60 RAC= 1,0472 rad

The ratio between the radius of the crank and the length of the connecting rod:

0,27027

6,648 mm

24,00

15,80

2,45

Mass of one piston

The mass of one piston is calculated as following:

The volume of one cylinder has been calculated previously, and it is

Vh = 0,4 l = 400 cm^3

Piston stroke is

S= 79,251922

=

1=

=

=

=

=

=

=

=

=

2 1

+

4 1 2

=

= 1.15 1.25 = 1.2=

=

2 1

4

1 2 =

=

1

2 + =

1

3,7=

10


6/18

As material for the piston, it is chosen aluminium with density

rho= 2,70 g/cm^3

Piston height is app. And the bore is

Hp= 0,04 m D= 0,08 m

The space displaced by the piston is calculated as:

Ap= 0,0050265 m^2 Ap*Hp= 0,0001992 m^3 = 199,1818 cm^3

,where Ap-piston head area, Hp-piston height

So, by substracting the lack of material that is inside the piston, we'll have the piston displacement

Pd= 119,509083 cm^3

And for having the mass of one piston, all we have to do is to multiply with the density of Al

Mp= 322,674524 g = 0,322675 kg


7/18

Data for diagrams

D= 0,080052 m p0= 102000

S= 0,079252 m pa= 85000

Ap= 0,005033 m2 pr= 120000

pz= 7903375,02

n= 5750 rot/min

0,2703

0,8053026 160 kg/m2

0,4529827 90 kg/m2

0,855634 170 kg/m2

0,6744409 kg/m2

0,22145821 kg/m2

0,58384436 kg/m2

R=D/ 0,04003 m

R=D/ 0,040 m

602,139 rad/s

Va= 0,44

Vc= 0,0433 mc= 1,36

Vz= 0,0433

Vt= md= 1,28

=

= 0,275 =

=

30 =

==

=

= + =

= 0.725 =


8/18

Xp Vx px vx ax Fg Fj F

[grd] [m] [l] [N/m2] [m/s] [m/s2] [N] [N] [N]

0 0,00000 0,0433352 102000 0 18434,598 0 -12433,0468 -12433,05

10 0,00076 0,0471779 85000 5,2990907 17977,582 -85,5634 -12124,8165 -12210,38

20 0,00302 0,0585158 85000 10,33666 16641,7633 -85,5634 -11223,8858 -11309,45

30 0,00665 0,0767934 85000 14,871257 14529,1853 -85,5634 -9799,07675 -9884,64

40 0,01148 0,1011318 85000 18,699495 11798,1922 -85,5634 -7957,18335 -8042,74750 0,01730 0,1303947 85000 21,67015 8647,26194 -85,5634 -5832,0671 -5917,63

60 0,02383 0,1632706 85000 23,692957 5295,04412 -85,5634 -3571,19431 -3656,758

70 0,03080 0,1983637 85000 24,741364 1958,89211 -85,5634 -1321,15695 -1406,72

80 0,03794 0,2342844 85000 24,849118 -1165,672 -85,5634 786,1769024 700,6135

90 0,04498 0,26973 85000 24,101334 -3922,2549 -85,5634 2645,329115 2559,7657

100 0,05170 0,3035502 85000 22,621242 -6205,7559 -85,5634 4185,415596 4099,8522

110 0,05791 0,3347908 85000 20,554327 -7968,1353 -85,5634 5374,036288 5288,4729

120 0,06346 0,3627136 85000 18,051777 -9217,299 -85,5634 6216,52342 6130,96

130 0,06824 0,3867937 85000 15,255236 -10009,447 -85,5634 6750,780261 6665,2169

140 0,07219 0,4066963 85000 12,284582 -10436,007 -85,5634 7038,470194 6952,9068150 0,07528 0,4222389 85000 9,2300767 -10606,93 -85,5634 7153,747638 7068,1842

160 0,07749 0,4333462 85000 6,1496229 -10632,52 -85,5634 7171,006452 7085,4431

170 0,07881 0,440004 85000 3,0712146 -10606,154 -85,5634 7153,224052 7067,6607

180 0,07925 0,4422213 85000 0,00000 -10590,088 -85,5634 7142,388611 7056,8252

190 0,07881 0,440004 85529,8462 -3,0712146 -10606,154 -82,8966 7153,224052 7070,3274

200 0,07749 0,4333462 87321,8969 -6,1496229 -10632,52 -73,877 7171,006452 7097,1295

210 0,07528 0,4222389 90460,5965 -9,2300767 -10606,93 -58,0794 7153,747638 7095,6682

220 0,07219 0,4066963 95194,3548 -12,284582 -10436,007 -34,2538 7038,470194 7004,2164

230 0,06824 0,3867937 101917,019 -15,255236 -10009,447 -0,41765 6750,780261 6750,3626

240 0,06346 0,3627136 111227,427 -18,051777 -9217,299 46,4429 6216,52342 6262,9664

250 0,05791 0,3347908 124029,997 -20,554327 -7968,1353 110,88 5374,036288 5484,9164

260 0,05170 0,3035502 141704,981 -22,621242 -6205,7559 199,841 4185,415596 4385,2564

270 0,04498 0,26973 166400,602 -24,101334 -3922,2549 324,137 2645,329115 2969,4664

280 0,03794 0,2342844 201543,005 -24,849118 -1165,672 501,014 786,1769024 1287,1909

290 0,03080 0,1983637 252737,72 -24,741364 1958,89211 758,684 -1321,15695 -562,4727

300 0,02383 0,1632706 329354,821 -23,692957 5295,04412 1144,31 -3571,19431 -2426,885

310 0,01730 0,1303947 447162,424 -21,67015 8647,26194 1737,25 -5832,0671 -4094,816

320 0,01148 0,1011318 631787,743 -18,699495 11798,1922 2666,5 -7957,18335 -5290,687

330 0,00665 0,0767934 918708,749 -14,871257 14529,1853 4110,61 -9799,07675 -5688,466

340 0,00302 0,0585158 1329617,54 -10,33666 16641,7633 6178,77 -11223,8858 -5045,114

350 0,00076 0,0471779 1782109,42 -5,2990907 17977,582 8456,23 -12124,8165 -3668,589360 0,00000 0,0433352 2000392,23 0,00000 18434,598 9554,88 -12433,0468 -2878,171

370 0,00076 0,0471779 7903375,02 5,2990907 17977,582 39265,4 -12124,8165 27140,604

380 0,00302 0,0585158 7745307,52 10,33666 16641,7633 38469,8 -11223,8858 27245,959

390 0,00665 0,0767934 3799740,59 14,871257 14529,1853 18611,2 -9799,07675 8812,1731

400 0,01148 0,1011318 2671236,8 18,699495 11798,1922 12931,3 -7957,18335 4974,1478

410 0,01730 0,1303947 1929462,11 21,67015 8647,26194 9197,87 -5832,0671 3365,8074

420 0,02383 0,1632706 1446927,65 23,692957 5295,04412 6769,21 -3571,19431 3198,0162

430 0,03080 0,1983637 1127761,35 24,741364 1958,89211 5162,8 -1321,15695 3841,6446

440 0,03794 0,2342844 911375,525 24,849118 -1165,672 4073,7 786,1769024 4859,8781

450 0,04498 0,26973 760990,786 24,101334 -3922,2549 3316,79 2645,329115 5962,1227460 0,05170 0,3035502 654204,8 22,621242 -6205,7559 2779,32 4185,415596 6964,7402

470 0,05791 0,3347908 577110,236 20,554327 -7968,1353 2391,3 5374,036288 7765,3331


9/18

480 0,06346 0,3627136 520867,381 18,051777 -9217,299 2108,22 6216,52342 8324,742

490 0,06824 0,3867937 460539,051 15,255236 -10009,447 1804,58 6750,780261 8555,3579

500 0,07219 0,4066963 418394,459 12,284582 -10436,007 1592,46 7038,470194 8630,9281

510 0,07528 0,4222389 381631,557 9,2300767 -10606,93 1407,43 7153,747638 8561,1727

520 0,07749 0,4333462 348417,056 6,1496229 -10632,52 1240,25 7171,006452 8411,2582

530 0,07881 0,440004 325412,605 3,0712146 -10606,154 1124,47 7153,224052 8277,6912

540 0,07925 0,4422213 244578,503 0,00000 -10590,088 717,618 7142,388611 7860,0063550 0,07881 0,440004 232349,578 -3,0712146 -10606,154 656,068 7153,224052 7809,2919

560 0,07749 0,4333462 220732,099 -6,1496229 -10632,52 597,595 7171,006452 7768,6019

570 0,07528 0,4222389 209695,494 -9,2300767 -10606,93 542,047 7153,747638 7695,7942

580 0,07219 0,4066963 199210,72 -12,284582 -10436,007 489,275 7038,470194 7527,7455

590 0,06824 0,3867937 189250,184 -15,255236 -10009,447 439,142 6750,780261 7189,9227

600 0,06346 0,3627136 179787,674 -18,051777 -9217,299 391,516 6216,52342 6608,0398

610 0,05791 0,3347908 170798,291 -20,554327 -7968,1353 346,271 5374,036288 5720,3078

620 0,05170 0,3035502 162258,376 -22,621242 -6205,7559 303,289 4185,415596 4488,7045

630 0,04498 0,26973 154145,457 -24,101334 -3922,2549 262,455 2645,329115 2907,7846

640 0,03794 0,2342844 146438,184 -24,849118 -1165,672 223,664 786,1769024 1009,8406650 0,03080 0,1983637 139116,275 -24,741364 1958,89211 186,811 -1321,15695 -1134,346

660 0,02383 0,1632706 132160,461 -23,692957 5295,04412 151,802 -3571,19431 -3419,392

670 0,01730 0,1303947 125552,438 -21,67015 8647,26194 118,543 -5832,0671 -5713,524

680 0,01148 0,1011318 119274,816 -18,699495 11798,1922 86,9466 -7957,18335 -7870,237

690 0,00665 0,0767934 113311,076 -14,871257 14529,1853 56,9302 -9799,07675 -9742,147

700 0,00302 0,0585158 107645,522 -10,33666 16641,7633 28,4147 -11223,8858 -11195,47

710 0,00076 0,0471779 102263,246 -5,2990907 17977,582 1,32495 -12124,8165 -12123,49

720 0,00000 0,0433352 97150,0835 0,0000 18434,598 -24,4103 -12433,0468 -12457,46

N S/100 T Z M Rm Angle Rm

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

0 0,0000000 0,000000 ########## 0,000000 -12433,047 0 12433,04684 0

10 0,0469492 ######### ########## ######### -12036,398 -85,3564 12223,84954 0,1753523

20 0,0925700 ######### ########## ######### -10666,813 -156,18 11358,07933 0,3506815

30 0,1355498 ######### -9976,14960 ######### -8627,7741 -200,471 9976,149602 0,5259646

40 0,1746123 ######### -8166,93347 ######### -6240,2065 -210,884 8166,933465 0,7011793

50 0,2085474 ######### -6048,68938 ######### -3871,1314 -186,029 6048,689375 0,8763045

60 0,2362525 ######### -3761,23762 ######### -1867,1716 -130,688 3761,237616 1,0513209

70 0,2567836 ######### -1454,40770 ######### -491,30661 -54,7924 1454,407701 1,2262122

80 0,2694115 ######### 726,83202 716,375358 122,845944 28,6738 726,8320161 1,4009655

90 0,2736737 ######### 2658,71099 ######### -12,699306 106,417 2658,710994 -1,56602100 0,2694115 ######### 4253,27776 ######### -758,26127 167,515 4253,27776 -1,391561

110 0,2567836 ######### 5467,75037 ######### -1893,089 205,317 5467,750369 -1,217249

120 0,2362525 ######### 6306,13219 ######### -3175,5581 218,072 6306,132189 -1,043074

130 0,2085474 ######### 6812,83268 ######### -4398,1715 208,255 6812,832677 -0,869025

140 0,1746123 ######### 7060,26547 ######### -5422,2826 180,988 7060,265473 -0,695084

150 0,1355498 ######### 7133,61967 ######### -6186,3169 142,181 7133,619669 -0,521233

160 0,0925700 ######### 7115,91015 ######### -6690,6917 96,9827 7115,910154 -0,34745

170 0,0469492 ######### 7075,45718 ######### -6968,9695 48,9493 7075,457175 -0,173714

180 0,0000000 0,000000 7056,82521 0,000000 -7056,8252 0 7056,825213 0

190 ######## ######### 7078,12691 ######### -6971,5991 -48,9677 7078,126908 0,1737135200 ######## ######### 7127,64684 ######### -6701,727 -97,1426 7127,64684 0,3474502

210 ######## ######### 7161,35806 ######### -6210,3718 -142,733 7161,358061 0,521233


10/18

220 ######## ######### 7112,36736 ######### -5462,2968 -182,324 7112,367362 0,6950841

230 ######## ######### 6899,86416 ######### -4454,3565 -210,915 6899,864158 0,8690248

240 ######## ######### 6441,91018 ######### -3243,9314 -222,767 6441,910178 1,0430742

250 ######## ######### 5670,85322 ######### -1963,4089 -212,944 5670,853217 1,2172488

260 ######## ######### 4549,36238 ######### -811,04633 -179,177 4549,362384 1,3915613

270 ######## ######### 3084,24829 ######### -14,73188 -123,449 3084,24829 1,5660198

280 ######## ######### 1335,36042 ######### 225,696732 -52,6805 1335,36042 -1,400966290 ######## ######### -581,54039 547,355126 -196,44741 21,9086 581,540386 -1,226212

300 ######## ######### -2496,22576 ######### -1239,1884 86,7337 2496,225758 -1,051321

310 ######## ######### -4185,50460 ######### -2678,7023 128,726 4185,504605 -0,876304

320 ######## ######### -5372,37955 ######### -4104,9383 138,724 5372,379546 -0,701179

330 ######## ######### -5741,12880 ######### -4965,1583 115,368 5741,128803 -0,525965

340 ######## ######### -5066,80735 ######### -4758,4354 69,6713 5066,807354 -0,350682

350 ######## ######### -3672,63581 640,710004 -3616,3164 25,6452 3672,635806 -0,175352

360 0,0000000 0,000000 -2878,17102 0,000000 -2878,171 0 2878,171021 0

370 0,0469492 ######### ########## ######### 26753,8869 189,726 27170,54361 0,1753523

380 0,0925700 ######### ########## ######### 25697,7635 376,257 27363,11528 0,3506815

390 0,1355498 ######### 8893,75392 ######### 7691,6749 178,721 8893,753916 0,5259646

400 0,1746123 ######### 5050,95278 ######### 3859,34188 130,424 5050,952782 0,7011793

410 0,2085474 ######### 3440,35056 ######### 2201,80743 105,809 3440,350559 0,8763045

420 0,2362525 ######### 3289,38910 ######### 1632,93434 114,293 3289,389101 1,0513209

430 0,2567836 ######### 3971,87505 ######### 1341,72038 149,634 3971,875051 1,2262122

440 0,2694115 ######### 5041,74547 ######### 852,133597 198,899 5041,745474 1,4009655

450 0,2736737 ######### 6192,58278 ######### -29,578807 247,863 6192,58278 -1,56602

460 0,2694115 ######### 7225,37625 ######### -1288,1179 284,572 7225,376254 -1,391561

470 0,2567836 ######### 8028,57533 ######### -2779,7187 301,478 8028,575327 -1,217249

480 0,2362525 ######### 8562,59434 ######### -4311,8373 296,102 8562,594342 -1,043074

490 0,2085474 ######### 8744,83499 ######### -5645,4173 267,312 8744,834989 -0,869025

500 0,1746123 ######### 8764,19685 ######### -6730,9016 224,668 8764,196852 -0,695084

510 0,1355498 ######### 8640,42983 ######### -7493,0315 172,213 8640,429831 -0,521233

520 0,0925700 ######### 8447,42630 ######### -7942,6417 115,13 8447,426295 -0,34745

530 0,0469492 ######### 8286,82254 ######### -8162,1035 57,3297 8286,822537 -0,173714

540 0,0000000 0,000000 7860,00632 0,000000 -7860,0063 0 7860,006325 0

550 ######## ######### 7817,90649 ######### -7700,2448 -54,0857 7817,906495 0,1737135

560 ######## ######### 7802,00650 ######### -7335,7896 -106,333 7802,006504 0,3474502

570 ######## ######### 7767,03993 ######### -6735,6227 -154,805 7767,039928 0,521233

580 ######## ######### 7643,98012 ######### -5870,5753 -195,952 7643,980119 0,6950841

590 ######## ######### 7349,15931 ######### -4744,4087 -224,649 7349,159312 0,8690248600 ######## ######### 6796,84292 ######### -3422,6637 -235,041 6796,842918 1,0430742

610 ######## ######### 5914,22432 ######### -2047,6709 -222,083 5914,224325 1,2172488

620 ######## ######### 4656,68178 ######### -830,1789 -183,403 4656,681778 1,3915613

630 ######## ######### 3020,18216 ######### -14,425869 -120,885 3020,182164 1,5660198

640 ######## ######### 1047,63102 ######### 177,065978 -41,3294 1047,631025 -1,400966

650 ######## ######### -1172,79944 ######### -396,17785 44,1833 1172,79944 -1,226212

660 ######## ######### -3517,09043 ######### -1745,9709 122,205 3517,090425 -1,051321

670 ######## ######### -5840,06286 ######### -3737,6115 179,613 5840,062857 -0,876304

680 ######## ######### -7991,75978 ######### -6106,3594 206,361 7991,759782 -0,701179

690 ######## ######### -9832,33680 ######### -8503,399 197,581 9832,336796 -0,525965

700 ######## ######### ########## ######### -10559,312 154,606 11243,61112 -0,350682

710 ######## ######### ########## ######### -11950,748 84,749 12136,86534 -0,175352

720 0,0000000 0,000000 ########## 0,000000 -12457,457 0 12457,45715 0


11/18

M1 M2 M3 M4 t=Sum(M1,M4)

0 0 0 0 0 0

10 -85,3564 -48,96775 -54,085672 189,72588 1,31603363

20 -156,18 -97,14262 -106,33346 376,25721 16,6015788

30 -200,471 -142,7334 -154,80525 178,72054 -319,28943

40 -210,884 -182,3241 -195,95188 130,42411 -458,7358450 -186,029 -210,9152 -224,64922 105,80905 -515,78464

60 -130,688 -222,7671 -235,04101 114,29296 -474,20295

70 -54,7924 -212,944 -222,08276 149,63373 -340,18543

80 28,6738 -179,1767 -183,40349 198,89878 -135,00763

90 106,4169 -123,4494 -120,88511 247,86287 109,94531

100 167,5154 -52,68048 -41,329443 284,57157 358,077067

110 205,3174 21,908558 44,1832514 301,47794 572,887145

120 218,0718 86,733743 122,204659 296,1023 723,112494

130 208,2548 128,72649 179,612942 267,31225 783,906464

140 180,9885 138,72389 206,360701 224,66841 750,741472150 142,1805 115,36834 197,581424 172,21283 627,343114

160 96,98266 69,671262 154,605558 115,12987 436,38935

170 48,94928 25,645202 84,74904 57,329717 216,673234

180 0 0 0 0 0

190 -48,9677 189,72588 -85,356431 -54,085672 1,31603363

200 -97,1426 376,25721 -156,17956 -106,33346 16,6015788

210 -142,733 178,72054 -200,47135 -154,80525 -319,28943

220 -182,324 130,42411 -210,88398 -195,95188 -458,73584

230 -210,915 105,80905 -186,02931 -224,64922 -515,78464

240 -222,767 114,29296 -130,68779 -235,04101 -474,20295

250 -212,944 149,63373 -54,79237 -222,08276 -340,18543

260 -179,177 198,89878 28,6738 -183,40349 -135,00763

270 -123,449 247,86287 106,416946 -120,88511 109,94531

280 -52,6805 284,57157 167,515418 -41,329443 358,077067

290 21,90856 301,47794 205,317391 44,183251 572,887145

300 86,73374 296,1023 218,071789 122,20466 723,112494

310 128,7265 267,31225 208,254777 179,61294 783,906464

320 138,7239 224,66841 180,988473 206,3607 750,741472

330 115,3683 172,21283 142,18052 197,58142 627,343114

340 69,67126 115,12987 96,9826563 154,60556 436,38935

350 25,6452 57,329717 48,9492755 84,74904 216,673234360 0 0 0 0 0

370 189,7259 -54,08567 -48,967745 -85,356431 1,31603363

380 376,2572 -106,3335 -97,142615 -156,17956 16,6015788

390 178,7205 -154,8052 -142,73338 -200,47135 -319,28943

400 130,4241 -195,9519 -182,32409 -210,88398 -458,73584

410 105,809 -224,6492 -210,91516 -186,02931 -515,78464

420 114,293 -235,041 -222,76712 -130,68779 -474,20295

430 149,6337 -222,0828 -212,94403 -54,79237 -340,18543

440 198,8988 -183,4035 -179,17672 28,6738 -135,00763

450 247,8629 -120,8851 -123,4494 106,41695 109,94531

460 284,5716 -41,32944 -52,680477 167,51542 358,077067

470 301,4779 44,183251 21,9085585 205,31739 572,887145

480 296,1023 122,20466 86,7337428 218,07179 723,112494


12/18

490 267,3123 179,61294 128,72649 208,25478 783,906464

500 224,6684 206,3607 138,72389 180,98847 750,741472

510 172,2128 197,58142 115,368343 142,18052 627,343114

520 115,1299 154,60556 69,6712621 96,982656 436,38935

530 57,32972 84,74904 25,6452016 48,949275 216,673234

540 0 0 0 0 0

550 -54,0857 -85,35643 189,725883 -48,967745 1,31603363560 -106,333 -156,1796 376,257205 -97,142615 16,6015788

570 -154,805 -200,4714 178,720542 -142,73338 -319,28943

580 -195,952 -210,884 130,42411 -182,32409 -458,73584

590 -224,649 -186,0293 105,809047 -210,91516 -515,78464

600 -235,041 -130,6878 114,292959 -222,76712 -474,20295

610 -222,083 -54,79237 149,633729 -212,94403 -340,18543

620 -183,403 28,6738 198,89878 -179,17672 -135,00763

630 -120,885 106,41695 247,862873 -123,4494 109,94531

640 -41,3294 167,51542 284,571569 -52,680477 358,077067

650 44,18325 205,31739 301,477944 21,908558 572,887145

660 122,2047 218,07179 296,102304 86,733743 723,112494

670 179,6129 208,25478 267,312255 128,72649 783,906464

680 206,3607 180,98847 224,668408 138,72389 750,741472

690 197,5814 142,18052 172,212826 115,36834 627,343114

700 154,6056 96,982656 115,129874 69,671262 436,38935

710 84,74904 48,949275 57,3297173 25,645202 216,673234

720 0 0 0 0 0

T1 Z1 T2 Z2 T' Z' Rp

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

0 0,00 -12433,05 0,00 -7056,83 0,00 -9744,94 9744,94

10 -2132,51 -12036,40 -1223,39 -6971,60 -1677,95 -9504,00 9650,99

20 -3901,93 -10666,81 -2426,97 -6701,73 -3164,45 -8684,27 9242,85

30 -5008,50 -8627,77 -3566,00 -6210,37 -4287,25 -7419,07 8568,73

40 -5268,65 -6240,21 -4555,12 -5462,30 -4911,88 -5851,25 7639,62

50 -4647,69 -3871,13 -5269,42 -4454,36 -4958,56 -4162,74 6474,23

60 -3265,05 -1867,17 -5565,53 -3243,93 -4415,29 -2555,55 5101,53

70 -1368,91 -491,31 -5320,11 -1963,41 -3344,51 -1227,36 3562,61

80 716,38 122,85 -4476,48 -811,05 -1880,05 -344,10 1911,28

90 2658,68 -12,70 -3084,21 -14,73 -212,77 -13,72 213,21

100 4185,14 -758,26 -1316,15 225,70 1434,50 -266,28 1459,00110 5129,57 -1893,09 547,36 -196,45 2838,46 -1044,77 3024,63

120 5448,22 -3175,56 2166,92 -1239,19 3807,57 -2207,37 4401,15

130 5202,96 -4398,17 3216,05 -2678,70 4209,51 -3538,44 5499,13

140 4521,75 -5422,28 3465,83 -4104,94 3993,79 -4763,61 6216,29

150 3552,18 -6186,32 2882,32 -4965,16 3217,25 -5575,74 6437,36

160 2422,98 -6690,69 1740,64 -4758,44 2081,81 -5724,56 6091,35

170 1222,93 -6968,97 640,71 -3616,32 931,82 -5292,64 5374,04

180 0,00 -7056,83 0,00 -2878,17 0,00 -4967,50 4967,50

190 -1223,39 -6971,60 4740,04 26753,89 1758,32 9891,14 10046,21

200 -2426,97 -6701,73 9400,27 25697,76 3486,65 9498,02 10117,76210 -3566,00 -6210,37 4465,09 7691,67 449,54 740,65 866,40

220 -4555,12 -5462,30 3258,47 3859,34 -648,32 -801,48 1030,87


13/18

230 -5269,42 -4454,36 2643,49 2201,81 -1312,97 -1126,27 1729,85

240 -5565,53 -3243,93 2855,45 1632,93 -1355,04 -805,50 1576,37

250 -5320,11 -1963,41 3738,39 1341,72 -790,86 -310,84 849,76

260 -4476,48 -811,05 4969,21 852,13 246,36 20,54 247,22

270 -3084,21 -14,73 6192,51 -29,58 1554,15 -22,16 1554,31

280 -1316,15 225,70 7109,63 -1288,12 2896,74 -531,21 2945,04

290 547,36 -196,45 7532,01 -2779,72 4039,68 -1488,08 4305,05300 2166,92 -1239,19 7397,71 -4311,84 4782,32 -2775,51 5529,38

310 3216,05 -2678,70 6678,43 -5645,42 4947,24 -4162,06 6465,13

320 3465,83 -4104,94 5613,03 -6730,90 4539,43 -5417,92 7068,26

330 2882,32 -4965,16 4302,50 -7493,03 3592,41 -6229,09 7190,76

340 1740,64 -4758,44 2876,36 -7942,64 2308,50 -6350,54 6757,11

350 640,71 -3616,32 1432,30 -8162,10 1036,51 -5889,21 5979,73

360 0,00 -2878,17 0,00 -7860,01 0,00 -5369,09 5369,09

370 4740,04 26753,89 -1351,26 -7700,24 1694,39 9526,82 9676,33

380 9400,27 25697,76 -2656,59 -7335,79 3371,84 9180,99 9780,58

390 4465,09 7691,67 -3867,60 -6735,62 298,75 478,03 563,70

400 3258,47 3859,34 -4895,59 -5870,58 -818,56 -1005,62 1296,65

410 2643,49 2201,81 -5612,55 -4744,41 -1484,53 -1271,30 1954,49

420 2855,45 1632,93 -5872,18 -3422,66 -1508,36 -894,86 1753,84

430 3738,39 1341,72 -5548,43 -2047,67 -905,02 -352,98 971,42

440 4969,21 852,13 -4582,08 -830,18 193,56 10,98 193,88

450 6192,51 -29,58 -3020,15 -14,43 1586,18 -22,00 1586,33

460 7109,63 -1288,12 -1032,56 177,07 3038,53 -555,53 3088,90

470 7532,01 -2779,72 1103,86 -396,18 4317,93 -1587,95 4600,67

480 7397,71 -4311,84 3053,11 -1745,97 5225,41 -3028,90 6039,80

490 6678,43 -5645,42 4487,38 -3737,61 5582,90 -4691,51 7292,40

500 5613,03 -6730,90 5155,64 -6106,36 5384,33 -6418,63 8377,94

510 4302,50 -7493,03 4936,30 -8503,40 4619,40 -7998,22 9236,36

520 2876,36 -7942,64 3862,61 -10559,31 3369,48 -9250,98 9845,51

530 1432,30 -8162,10 2117,34 -11950,75 1774,82 ####### 10211,84

540 0,00 -7860,01 0,00 -12457,46 0,00 ####### 10158,73

550 -1351,26 -7700,24 -2132,51 -12036,40 -1741,88 -9868,32 10020,87

560 -2656,59 -7335,79 -3901,93 -10666,81 -3279,26 -9001,30 9580,03

570 -3867,60 -6735,62 -5008,50 -8627,77 -4438,05 -7681,70 8871,57

580 -4895,59 -5870,58 -5268,65 -6240,21 -5082,12 -6055,39 7905,42

590 -5612,55 -4744,41 -4647,69 -3871,13 -5130,12 -4307,77 6698,88

600 -5872,18 -3422,66 -3265,05 -1867,17 -4568,61 -2644,92 5279,00610 -5548,43 -2047,67 -1368,91 -491,31 -3458,67 -1269,49 3684,29

620 -4582,08 -830,18 716,38 122,85 -1932,85 -353,67 1964,94

630 -3020,15 -14,43 2658,68 -12,70 -180,73 -13,56 181,24

640 -1032,56 177,07 4185,14 -758,26 1576,29 -290,60 1602,85

650 1103,86 -396,18 5129,57 -1893,09 3116,71 -1144,63 3320,26

660 3053,11 -1745,97 5448,22 -3175,56 4250,67 -2460,76 4911,57

670 4487,38 -3737,61 5202,96 -4398,17 4845,17 -4067,89 6326,41

680 5155,64 -6106,36 4521,75 -5422,28 4838,69 -5764,32 7525,98

690 4936,30 -8503,40 3552,18 -6186,32 4244,24 -7344,86 8482,96

700 3862,61 -10559,31 2422,98 -6690,69 3142,79 -8625,00 9179,75

710 2117,34 -11950,75 1222,93 -6968,97 1670,13 -9459,86 9606,16

720 0,00 -12457,46 0,00 -7056,83 0,00 -9757,14 9757,14


14/18

Engine's external characteristic calculus

Effective Power:

66 kW

5750 rpm

Specific fuel consumption

298

Fuel consumption per hour

Torque

a b c d k

1 1 1,2 1 0,8

n

(rot/min)

1000 13,127 312,984 4,108645 94,89623

1100 14,579 309,316 4,509653 95,81225

1200 16,049 305,792 4,907521 96,67808

1300 17,533 302,412 5,302074 97,49372

1400 19,030 299,176 5,693181 98,25916

1500 20,537 296,085 6,080748 98,97441

1600 22,054 293,137 6,464715 99,63947

1700 23,576 290,334 6,845059 100,25431800 25,104 287,675 7,221782 100,819

1900 26,634 285,161 7,594917 101,3335

2000 28,164 282,790 7,964517 101,7978

2100 29,693 280,564 8,330657 102,2119

2200 31,217 278,482 8,69343 102,5758

2300 32,736 276,544 9,052944 102,8895

2400 34,247 274,750 9,409318 103,153

2500 35,748 273,101 9,76268 103,3663

2600 37,236 271,596 10,11316 103,5294

2700 38,710 270,235 10,4609 103,6424

2800 40,168 269,018 10,80603 103,7051

2900 41,608 267,945 11,14869 103,7177

3000 43,027 267,017 11,489 103,68

P = P ann

+ b nn

n

n

=3 10

=

+

= 10

P []

P=

=

=


15/18

3100 44,424 266,233 11,82707 103,5922

3200 45,796 265,593 12,16301 103,4541

3300 47,141 265,097 12,49692 103,2659

3400 48,457 264,746 12,82885 103,0275

3500 49,743 264,538 13,15887 102,7389

3600 50,995 264,475 13,48698 102,4001

3700 52,213 264,556 13,8132 102,01113800 53,393 264,782 14,13748 101,5719

3900 54,534 265,151 14,45976 101,0825

4000 55,634 265,665 14,77995 100,5429

4100 56,690 266,323 15,09788 99,95318

4200 57,701 267,125 15,41338 99,31322

4300 58,664 268,072 15,72623 98,62306

4400 59,578 269,162 16,03613 97,88271

4500 60,440 270,397 16,34276 97,09217

4600 61,248 271,776 16,64574 96,25144

4700 62,000 273,299 16,94461 95,36051

4800 62,694 274,967 17,23889 94,41939

4900 63,329 276,778 17,528 93,42808

5000 63,901 278,734 17,81132 92,38658

5100 64,409 280,834 18,08813 91,29488

5200 64,850 283,079 18,35766 90,15299

5300 65,223 285,467 18,61907 88,9609

5400 65,526 288,000 18,87142 87,71862

5500 65,756 290,677 19,11371 86,42615

5600 65,911 293,498 19,34484 85,08349

5700 65,990 296,463 19,56363 83,69063

5800 65,990 299,573 19,7688 82,24758

5900 65,909 302,827 19,959 80,75434

6000 65,745 306,225 20,13275 79,2109

6100 65,496 309,767 20,2885 77,61727

6200 65,160 313,453 20,42458 75,97345

6300 64,735 317,284 20,53922 74,27943

6400 64,218 321,259 20,63054 72,53523

6500 63,608 325,378 20,69656 70,74082


16/18

Rod - Crank mechanism kinematics

- crank angle of rotation

- tilt angle of the rod axis

- angular speed of the crankshaft

S - stroke

R - crank radius

L - rod length

- ratio between crank rad and rod length

602,14 rad/s

R=S/2= 39,62596 mm

=R/L= 1/3,6= 0,277778

max= 15

L=R/= 142,6535 mm

0,005033 m2

Piston movement: D= 0,080052 m

Cylinder volume at a given moment:

Piston speed:

- maximum speed angle

Piston acceleration:

=

4 =

=

30 =

5750

30 =

= +1

1

= 1

41 2

=

2 2

=

4

= 1

4

+1

2

1

4

= 2


17/18

[grd] [grd] SX[m] Vp[l] vp[m/s] j [m/s2]

0 0,00000 0,00000 0,00000 0,00000 18358,114

10 0,04825 0,00077 0,00387 5,27673 17899,163

20 0,09515 0,00303 0,01527 10,29087 16557,973

30 0,13934 0,00668 0,03365 14,80011 14437,824

40 0,17951 0,01154 0,05811 18,60071 11698,940

50 0,21443 0,01738 0,08750 21,54165 8542,05960 0,24295 0,02394 0,12050 23,53359 5188,163

70 0,26408 0,03093 0,15569 24,55152 1856,676

80 0,27709 0,03808 0,19168 24,63126 -1255,372

90 0,28148 0,04513 0,22714 23,86032 -3990,894

100 0,27709 0,05184 0,26094 22,36440 -6245,056

110 0,26408 0,05804 0,29212 20,29121 -7971,081

120 0,24295 0,06357 0,31994 17,79369 -9179,057

130 0,21443 0,06833 0,34390 15,01448 -9928,082

140 0,17951 0,07226 0,36367 12,07353 -10312,917

150 0,13934 0,07532 0,37909 9,06021 -10446,930160 0,09515 0,07751 0,39010 6,03055 -10443,568

170 0,04825 0,07882 0,39669 3,00987 -10398,735

180 0,00000 0,07925 0,39889 0,00000 -10376,325

190 -0,04825 0,07882 0,39669 -3,00987 -10398,735

200 -0,09515 0,07751 0,39010 -6,03055 -10443,568

210 -0,13934 0,07532 0,37909 -9,06021 -10446,930

220 -0,17951 0,07226 0,36367 -12,07353 -10312,917

230 -0,21443 0,06833 0,34390 -15,01448 -9928,082

240 -0,24295 0,06357 0,31994 -17,79369 -9179,057

250 -0,26408 0,05804 0,29212 -20,29121 -7971,081

260 -0,27709 0,05184 0,26094 -22,36440 -6245,056

270 -0,28148 0,04513 0,22714 -23,86032 -3990,894

280 -0,27709 0,03808 0,19168 -24,63126 -1255,372

290 -0,26408 0,03093 0,15569 -24,55152 1856,676

300 -0,24295 0,02394 0,12050 -23,53359 5188,163

310 -0,21443 0,01738 0,08750 -21,54165 8542,059

320 -0,17951 0,01154 0,05811 -18,60071 11698,940

330 -0,13934 0,00668 0,03365 -14,80011 14437,824

340 -0,09515 0,00303 0,01527 -10,29087 16557,973

350 -0,04825 0,00077 0,00387 -5,27673 17899,163

360 0,00000 0,00000 0,00000 0,00000 18358,114370 0,04825 0,00077 0,00387 5,27673 17899,163

380 0,09515 0,00303 0,01527 10,29087 16557,973

390 0,13934 0,00668 0,03365 14,80011 14437,824

400 0,17951 0,01154 0,05811 18,60071 11698,940

410 0,21443 0,01738 0,08750 21,54165 8542,059

420 0,24295 0,02394 0,12050 23,53359 5188,163

430 0,26408 0,03093 0,15569 24,55152 1856,676

440 0,27709 0,03808 0,19168 24,63126 -1255,372

450 0,28148 0,04513 0,22714 23,86032 -3990,894

460 0,27709 0,05184 0,26094 22,36440 -6245,056470 0,26408 0,05804 0,29212 20,29121 -7971,081

480 0,24295 0,06357 0,31994 17,79369 -9179,057


18/18

490 0,21443 0,06833 0,34390 15,01448 -9928,082

500 0,17951 0,07226 0,36367 12,07353 -10312,917

510 0,13934 0,07532 0,37909 9,06021 -10446,930

520 0,09515 0,07751 0,39010 6,03055 -10443,568

530 0,04825 0,07882 0,39669 3,00987 -10398,735

540 0,00000 0,07925 0,39889 0,00000 -10376,325

550 -0,04825 0,07882 0,39669 -3,00987 -10398,735560 -0,09515 0,07751 0,39010 -6,03055 -10443,568

570 -0,13934 0,07532 0,37909 -9,06021 -10446,930

580 -0,17951 0,07226 0,36367 -12,07353 -10312,917

590 -0,21443 0,06833 0,34390 -15,01448 -9928,082

600 -0,24295 0,06357 0,31994 -17,79369 -9179,057

610 -0,26408 0,05804 0,29212 -20,29121 -7971,081

620 -0,27709 0,05184 0,26094 -22,36440 -6245,056

630 -0,28148 0,04513 0,22714 -23,86032 -3990,894

640 -0,27709 0,03808 0,19168 -24,63126 -1255,372

650 -0,26408 0,03093 0,15569 -24,55152 1856,676

660 -0,24295 0,02394 0,12050 -23,53359 5188,163

670 -0,21443 0,01738 0,08750 -21,54165 8542,059

680 -0,17951 0,01154 0,05811 -18,60071 11698,940

690 -0,13934 0,00668 0,03365 -14,80011 14437,824

700 -0,09515 0,00303 0,01527 -10,29087 16557,973

710 -0,04825 0,00077 0,00387 -5,27673 17899,163

720 0,00000 0,00000 0,00000 0,00000 18358,114

Date post:	12-Feb-2018
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