Calculul si constructia MAI
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PROIECTC.C.M.A.I. A.R. Date initiale n 5600 rpm Pen 100 kW D 86 mm S 86 mm ε 10.8 i 4 Parametriiconstructivi Vs 0.4996 Vt Vt = Vs * i 1.9982 Wp 16.05333333 m/s 0.0510 Va=ε*Vc 0.5505 Admisia p0 0.1 MPa T0 298 K pr pr= (1. 20……1 .25) *p 0 pr=1.2*p0 0.12 MPa Tr Tr=900÷ 1100 1100 K pa pa = p0 - Δpa 0.08 MPa Δpa Δpa=(0.05 ÷ 0.20) * p0 Δpa=0.2 * p0 0.02 MPa Ta 389.09 K r r=1 1 γr γr =0.04÷0.1 0.1 ΔT ΔT= 0÷20 20 Comprimarea pc 1.987 MPa Tc 894.85 K nc nc = 1.32…….1.38 1.35 Arderea λ 1.05 C ` 0.854 H 0.142 O 0.004 S 0 0.507 M1 M1 = λ* L0 + 1/MT 0.5414 MT MT=110÷120 115 MCO2 MCO2 = C/12 0.07117 MH2O MH2O= H/2 0.071 MO2 MO2 = 0.21*L0*(λ-1) 0.0053 MN2 MN2 = 0.79*λ*L0 0.4208 M2 M2 = C/12 + H/2 + (λ-0.21)*L0 0.568 μ0 μ0=M2/ M1 1.0497 μR μR = (μ0 + γr) / (1+γr) 1.045 5.2369 6.79217 Tz ales 2000 K 10.8 8.1 6.3 5.9 8.7772 ξz ξz =0.8÷ 0.95 0.9 Hs Hs = 8100*C+30000*H+2600*(S-O) 11187.8 HI 10500 2973.40 K pz pz=β*pc 6.90 7 MPa β β = μR*Tz/Tc 3.47 Destinderea pd 0.357 5348 22 MPa nd 1.25 Td 1640.204062 K Evacuarea Trc 1139.861757 K ΔT 3.497069453 Trasarea diagrameiindicate ϕ[°RAC] Proces de lucru Legea de variatie a presiunii 0-180 Admisia p=pa 18 0-3 60 Co mp ri ma re a p= pc x 360-540 Arde rea sid es ti nd er ea p=p dx 540-720 Evacuarea p=pr βDSE βise βDSA βISA M.A.S 40÷80 10÷60 5÷45 40÷85 50 30 25 55 540˚- βDSE 0˚+βISE 720˚-βDSA 360˚+βISA 30÷40 490 30 695 415 35 λ' 0.322 r ω 43 58 6. 43 06 28 7 8.775510204 Φ cosΦ x Vx [d m^ 3] p [MPa ] p[ Mp a] (r ot ) de pl as ar e [mm] vi te za[m/s ] ac ce le ra ti a[ m/ s^ 2] 0 1 0 0 0.08 0.12 0 0 19549.38955 1 0.9 99847695 0.008657761 5.02912E-05 0.08 0.11866667 0.008657761 0.581775948 19544.23664 2 0.999390827 0.034626478 0.000201138 0.08 0.11733333 0.034626478 1.163245218 19528.78212 3 0.998629535 0.077892465 0.000452462 0.08 0.116 0.077892465 1.74410138 19503.03865 4 0.99756405 0.138432919 0.00080413 0.08 0 .11466667 0. 138432919 2.324038509 19467.0273 5 0.9 96194698 0.216215945 0.001255956 0.08 0.11333333 0.216215945 2.902751431 19420.77756 6 0.994521895 0.311200579 0.001807703 0.08 0.112 0.311200579 3.479935974 19364.32726 7 0.9 92546152 0.423336823 0.002459081 0.08 0.11066667 0.423336823 4.055289218 19297.72259 8 0.990268069 0.552565684 0.003209746 0.08 0.10933333 0.552565684 4.628509737 19221.01799 9 0.987688341 0.698819223 0.004059304 0.08 0.108 0.698819223 5.199297853 19134.27614 10 0.984807753 0.862020614 0.005007309 0.08 0.10666667 0.862020614 5.76735587 19037.56786 11 0.9 81627183 1.042084199 0.006053264 0.08 0.10533333 1.042084199 6.332388322 18930.97204 12 0.978147601 1.238915567 0.007196619 0.08 0.104 1.238915567 6.894102212 18814.57559 13 0.9 74370065 1.452411623 0.008436776 0.08 0.10266667 1.452411623 7.452207245 18688.47329 14 0.970295726 1.682460677 0.009773086 0.08 0.10133333 1.682460677 8.006416064 18552.76775 15 0.965925826 1.928942534 0.011204851 0.08 0.1 1.928942534 8.55644448 18407.56925 16 0.961261696 2.19172859 0.012731324 0.08 0. 09866667 2.19172859 9.1020117 18252.99563 17 0.9 56304756 2.470681936 0.014351709 0.08 0.09733333 2.470681936 9.642840549 18089.17222 18 0.951056516 2.765657473 0.016065164 0.08 0.096 2.765657473 10.17865769 17916.2316 19 0.9 45518576 3.076502026 0.0178708 0.08 0.09466667 3.076502026 10.7 0919384 17734.31359 20 0.939692621 3.403054466 0.019767679 0.08 0.09333333 3.403054466 11.23418399 17543.56498 21 0.933580426 3.745145847 0.021754821 0.08 0.092 3.745145847 11.75336758 17344.13945 22 0.9 27183855 4.102599535 0.0238312 0.08 0.09066667 4 .102599535 12.26648875 17136.19738 23 0.9 20504853 4.475231352 0.025995745 0.08 0.08933333 4.475231352 12.7 7329649 16919.90569 24 0.913545458 4.862849727 0.028247345 0.08 0.088 4.862849727 13.27354488 16695.43765 25 0.906307787 5.265255846 0.030584844 0.08 0.08666667 5.265255846 13.76699321 16462.9727 26 0.898794046 5.682243812 0.033007045 0.08 0.08533333 5.682243812 14.25340623 16222.69627 27 0.891006524 6.113600809 0.035512714 0.08 0.084 6.113600809 14.73255429 15974.79958 28 0.882947593 6.559107272 0.038100574 0.08 0.08266667 6.559107272 15.20421351 15719.47941 29 0.8 74619707 7.01853706 0.040769312 0.08 0.08133333 7.01853706 15.6 6816595 15456.93794 30 0.866025404 7.491657637 0.043517577 0.08 0.08 7.491657637 16.12419976 15187.38253 31 0.857167301 7.978230255 0.046343982 0.08 0.08 7.978230255 16.57210933 14911.02544 32 0.848048096 8.478010141 0.049247106 0.08 0.08 8.478010141 17.01169547 14628.08368 33 0.838670568 8.990746688 0.052225493 0.08 0.08 8.990746688 17.44276547 14338.77877 Tz kcal/ kmolK kcal/ kmolK kcal/kg comb Din formula de maijos scoatem Tz: kmoli/kg comb α= 0 ÷ 180 [˚RAC] kmolaer/kg comb Sa se efectueze calculultermic si organolog ic pt un motor cu aprindere prin scanteie cu 4 cilindri iin linie in 4 timpiaspirat, racit cu lichid si destinat tractiuniirutiere. calculcinematic piston Cotele de reglaj a motorului 1 2 3 4 5 6 7 8 p [ M P a ] diagrama indicata rotunjita 6 2 10 * 4 S D V s 3 dm 3 dm 3 10 * 30 * n S w p 1 s c V V 3 dm 3 dm r r r a T T T T 1 0 c n a c p p 1 c n a c T T 32 4 12 21 . 0 1 0 o h c L 3 298 10 * * 6 . 0 7 . 4 0 c T T I V T mC c z z z z z T N V N T O V O T O H V O H T CO V CO z T T II V mC M mC M mC M mC M M mC 298 2 2 298 2 2 298 2 2 298 2 2 298 * * * * 1 0 z T CO V T mC z * 10 * 8 . 0 2 . 9 3 298 2 z T O H V T mC z * 10 * 2 . 1 7 . 5 3 298 2 z T O V T mC z * 10 * 4 . 0 5 . 5 3 298 2 z T N V T mC z * 10 * 4 . 0 1 . 5 3 298 2 z z T II V T II P mC mC 298 298 985 . 1 298 * 1 1 * 298 * * 298 0 298 c T I V r T I z z T II V r T mC M L H T mC C z 2 cos 4 ' 4 ' 2 cos 1 * S x 1 S s c n a cx s x s S p p * d n z dx s x s p p * x D V x * 4 2 dse ise dsa isa c
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Proiectarea pistonului MAI a A.R
Transcript of Calculul si constructia MAI
-
PROIECT C.C.M.A.I.A.R.
Date initiale
n 5600 rpm
Pen 100 kW
D 86 mm
S 86 mm
10.8
i 4
Parametrii constructivi
Vs 0.4996
Vt Vt = Vs * i 1.9982
Wp 16.05333333 m/s
0.0510
Va=*Vc 0.5505
Admisia
p0 0.1 MPa
T0 298 K
pr pr= (1.201.25) *p0 pr=1.2*p0 0.12 MPa
Tr Tr= 900 1100 1100 K
pa pa = p0 - pa 0.08 MPa
pa pa=(0.05 0.20) * p0 pa=0.2 * p0 0.02 MPa
Ta 389.09 K
r r=1 1
r r = 0.04 0.1 0.1
T T = 0 20 20
Comprimarea
pc 1.987 MPa
Tc 894.85 K
nc nc = 1.32.1.38 1.35
Arderea
1.05
C ` 0.854
H 0.142
O 0.004
S 0
0.507
M1 M1 = * L0 + 1/MT 0.5414
MT MT = 110 120 115
MCO2 MCO2 = C/12 0.07117
MH2O MH2O = H/2 0.071
MO2 MO2 = 0.21*L0*(-1) 0.0053
MN2 MN2 = 0.79**L0 0.4208
M2 M2 = C/12 + H/2 + (-0.21)*L0 0.568
0 0 = M2 / M1 1.0497
R R = (0 + r) / (1+r) 1.045
5.2369
6.79217
Tz ales 2000 K
10.8
8.1
6.3
5.9
8.7772
z z = 0.8 0.95 0.9
Hs Hs = 8100*C+30000*H+2600*(S-O) 11187.8
HI 10500
2973.40 K
pz pz=*pc 6.90 7 MPa
= R*Tz/Tc 3.47
Destinderea
pd 0.357534822 MPa
nd 1.25
Td 1640.204062 K
Evacuarea
Trc 1139.861757 K
T 3.497069453
Trasarea diagramei indicate
[RAC] Proces de lucruLegea de variatie a
presiunii
0-180 Admisia p=pa
180-360 Comprimarea p=pcx
360-540 Arderea si destinderea p=pdx
540-720 Evacuarea p=pr
DSE ise DSA ISA
M.A.S 4080 1060 545 4085
50 30 25 55
540- DSE 0+ISE 720-DSA 360+ISA 3040
490 30 695 415 35
' 0.322
r
43 586.4306287
8.775510204
cos x Vx [dm^3] p [MPa] p[Mpa](rot) deplasare [mm] viteza[m/s] acceleratia[m/s^2]
0 1 0 0 0.08 0.12 0 0 19549.38955
1 0.999847695 0.008657761 5.02912E-05 0.08 0.11866667 0.008657761 0.581775948 19544.23664
2 0.999390827 0.034626478 0.000201138 0.08 0.11733333 0.034626478 1.163245218 19528.78212
3 0.998629535 0.077892465 0.000452462 0.08 0.116 0.077892465 1.74410138 19503.03865
4 0.99756405 0.138432919 0.00080413 0.08 0.11466667 0.138432919 2.324038509 19467.0273
5 0.996194698 0.216215945 0.001255956 0.08 0.11333333 0.216215945 2.902751431 19420.77756
6 0.994521895 0.311200579 0.001807703 0.08 0.112 0.311200579 3.479935974 19364.32726
7 0.992546152 0.423336823 0.002459081 0.08 0.11066667 0.423336823 4.055289218 19297.72259
8 0.990268069 0.552565684 0.003209746 0.08 0.10933333 0.552565684 4.628509737 19221.01799
9 0.987688341 0.698819223 0.004059304 0.08 0.108 0.698819223 5.199297853 19134.27614
10 0.984807753 0.862020614 0.005007309 0.08 0.10666667 0.862020614 5.76735587 19037.56786
11 0.981627183 1.042084199 0.006053264 0.08 0.10533333 1.042084199 6.332388322 18930.97204
12 0.978147601 1.238915567 0.007196619 0.08 0.104 1.238915567 6.894102212 18814.57559
13 0.974370065 1.452411623 0.008436776 0.08 0.10266667 1.452411623 7.452207245 18688.47329
14 0.970295726 1.682460677 0.009773086 0.08 0.10133333 1.682460677 8.006416064 18552.76775
15 0.965925826 1.928942534 0.011204851 0.08 0.1 1.928942534 8.55644448 18407.56925
16 0.961261696 2.19172859 0.012731324 0.08 0.09866667 2.19172859 9.1020117 18252.99563
17 0.956304756 2.470681936 0.014351709 0.08 0.09733333 2.470681936 9.642840549 18089.17222
18 0.951056516 2.765657473 0.016065164 0.08 0.096 2.765657473 10.17865769 17916.2316
19 0.945518576 3.076502026 0.0178708 0.08 0.09466667 3.076502026 10.70919384 17734.31359
20 0.939692621 3.403054466 0.019767679 0.08 0.09333333 3.403054466 11.23418399 17543.56498
21 0.933580426 3.745145847 0.021754821 0.08 0.092 3.745145847 11.75336758 17344.13945
22 0.927183855 4.102599535 0.0238312 0.08 0.09066667 4.102599535 12.26648875 17136.19738
23 0.920504853 4.475231352 0.025995745 0.08 0.08933333 4.475231352 12.77329649 16919.90569
24 0.913545458 4.862849727 0.028247345 0.08 0.088 4.862849727 13.27354488 16695.43765
25 0.906307787 5.265255846 0.030584844 0.08 0.08666667 5.265255846 13.76699321 16462.9727
26 0.898794046 5.682243812 0.033007045 0.08 0.08533333 5.682243812 14.25340623 16222.69627
27 0.891006524 6.113600809 0.035512714 0.08 0.084 6.113600809 14.73255429 15974.79958
28 0.882947593 6.559107272 0.038100574 0.08 0.08266667 6.559107272 15.20421351 15719.47941
29 0.874619707 7.01853706 0.040769312 0.08 0.08133333 7.01853706 15.66816595 15456.93794
30 0.866025404 7.491657637 0.043517577 0.08 0.08 7.491657637 16.12419976 15187.38253
31 0.857167301 7.978230255 0.046343982 0.08 0.08 7.978230255 16.57210933 14911.02544
32 0.848048096 8.478010141 0.049247106 0.08 0.08 8.478010141 17.01169547 14628.08368
33 0.838670568 8.990746688 0.052225493 0.08 0.08 8.990746688 17.44276547 14338.77877
Tz
kcal / kmol K
kcal / kmol K
kcal/kg comb
Din formula de mai jos scoatem Tz:
kmoli/kg comb
= 0 180 [RAC]
kmol aer/kg comb
Sa se efectueze calculul termic si organologic pt un motor cu aprindere prin scanteie cu 4 cilindrii in linie in 4 timpi aspirat, racit cu lichid si destinat tractiunii rutiere.
calcul cinematic piston
Cotele de reglaj a motorului
1
2
3
4
5
6
7
8
p [
MP
a]
diagrama indicata rotunjita
62
10*4
SD
Vs 3dm
3dm
310*30
* nS
w p
1
s
c
VV 3dm
3dm
r
rra
TTTT
1
0
cn
ac pp
1 cnac TT
3241221.0
10
ohcL
3298
10**6.07.40
c
T
T
I
V TmCc
zzzzz TNVNTOVOTOHVOHTCOVCOz
T
T
II
V mCMmCMmCMmCMM
mC298
2
2298
2
2298
2
2298
2
2298****
10
zTCO
V TmCz
*10*8.02.9 3298
2
zTOH
V TmCz
*10*2.17.5 3298
2
zTO
V TmCz
*10*4.05.5 3298
2
zTN
V TmCz
*10*4.01.5 3298
2
zz TIIVTII
P mCmC 298298 985.1
298*1
1*298**
298
0
298
cTI
V
r
T
Izz
TII
Vr TmC
ML
HTmC
Cz
2cos4
'
4
'
2
cos1*Sx
1
Ss
cn
acxsx
sSpp
*
dn
zdxsx
spp
*
xD
Vx *4
2
dse ise dsa isa c
-
34 0.829037573 9.516183657 0.055277653 0.08 0.08 9.516183657 17.86513332 14043.33645
35 0.819152044 10.05405937 0.058402068 0.08 0.08 10.05405937 18.27861975 13741.98653
36 0.809016994 10.60410692 0.061597187 0.08 0.08 10.60410692 18.68305241 13434.96257
37 0.79863551 11.16605436 0.06486143 0.08 0.08 11.16605436 19.07826596 13122.50169
38 0.788010754 11.73962495 0.06819319 0.08 0.08 11.73962495 19.46410215 12804.8443
39 0.777145961 12.32453734 0.071590832 0.08 0.08 12.32453734 19.84040994 12482.23385
40 0.766044443 12.92050578 0.075052696 0.08 0.08 12.92050578 20.20704557 12154.9166
41 0.75470958 13.52724036 0.078577099 0.08 0.08 13.52724036 20.56387265 11823.14131
42 0.743144825 14.14444723 0.082162333 0.08 0.08 14.14444723 20.91076224 11487.15905
43 0.731353702 14.7718288 0.08580667 0.08 0.08 14.7718288 21.24759289 11147.2229
44 0.7193398 15.40908398 0.089508361 0.08 0.08 15.40908398 21.57425072 10803.5877
45 0.707106781 16.05590841 0.093265638 0.08 0.08 16.05590841 21.89062943 10456.50977
46 0.69465837 16.71199468 0.097076715 0.08 0.08 16.71199468 22.19663041 10106.24669
47 0.68199836 17.37703255 0.10093979 0.08 0.08 17.37703255 22.4921627 9753.056996
48 0.669130606 18.0507092 0.104853047 0.08 0.08 18.0507092 22.77714306 9397.199926
49 0.656059029 18.73270944 0.108814653 0.08 0.08 18.73270944 23.05149596 9038.935171
50 0.64278761 19.42271595 0.112822766 0.08 0.08 19.42271595 23.31515361 8678.522595
51 0.629320391 20.1204095 0.116875532 0.08 0.08 20.1204095 23.56805595 8316.221982
52 0.615661475 20.8254692 0.120971086 0.08 0.08 20.8254692 23.81015066 7952.29277
53 0.601815023 21.53757271 0.125107556 0.08 0.08 21.53757271 24.04139312 7586.993788
54 0.587785252 22.25639648 0.129283063 0.08 0.08 22.25639648 24.26174641 7220.583003
55 0.573576436 22.98161596 0.133495721 0.08 0.08 22.98161596 24.47118125 6853.317259
56 0.559192903 23.71290587 0.137743642 0.08 0.08 23.71290587 24.66967601 6485.452022
57 0.544639035 24.44994038 0.142024931 0.08 0.08 24.44994038 24.85721663 6117.241126
58 0.529919264 25.19239336 0.146337696 0.08 0.08 25.19239336 25.03379658 5748.936528
59 0.515038075 25.93993859 0.15068004 0.08 0.08 25.93993859 25.19941678 5380.788054
60 0.5 26.69225 0.15505007 0.08 0.08 26.69225 25.35408558 5013.04316
61 0.48480962 27.44900186 0.159445894 0.08 0.08 27.44900186 25.49781864 4645.946693
62 0.469471563 28.20986904 0.163865623 0.08 0.08 28.20986904 25.63063887 4279.740647
63 0.4539905 28.97452716 0.168307373 0.08 0.08 28.97452716 25.75257632 3914.66394
64 0.438371147 29.74265288 0.172769265 0.08 0.08 29.74265288 25.86366812 3550.952179
65 0.422618262 30.51392406 0.177249429 0.08 0.08 30.51392406 25.96395836 3188.837442
66 0.406736643 31.28801994 0.181746001 0.08 0.08 31.28801994 26.05349798 2828.548054
67 0.390731128 32.06462142 0.186257127 0.08 0.08 32.06462142 26.13234465 2470.30838
68 0.374606593 32.8434112 0.190780965 0.08 0.08 32.8434112 26.20056267 2114.33861
69 0.35836795 33.62407398 0.195315683 0.08 0.08 33.62407398 26.2582228 1760.854564
70 0.342020143 34.40629668 0.199859462 0.08 0.08 34.40629668 26.3054022 1410.067488
71 0.325568154 35.18976858 0.204410497 0.08 0.08 35.18976858 26.3421842 1062.183871
72 0.309016994 35.97418157 0.208966999 0.08 0.08 35.97418157 26.36865823 717.4052525
73 0.292371705 36.75923025 0.213527194 0.08 0.08 36.75923025 26.38491964 375.9280528
74 0.275637356 37.54461218 0.218089324 0.08 0.08 37.54461218 26.39106955 37.9433962
75 0.258819045 38.330028 0.222651651 0.08 0.08 38.330028 26.38721467 -296.3630511
76 0.241921896 39.11518158 0.227212455 0.08 0.08 39.11518158 26.37346717 -626.8112388
77 0.224951054 39.89978025 0.231770036 0.08 0.08 39.89978025 26.34994449 -953.2268824
78 0.207911691 40.6835349 0.236322713 0.08 0.08 40.6835349 26.31676915 -1275.441607
79 0.190808995 41.46616011 0.240868831 0.08 0.08 41.46616011 26.27406863 -1593.293079
80 0.173648178 42.24737437 0.245406752 0.08 0.08 42.24737437 26.22197512 -1906.625141
81 0.156434465 43.02690013 0.249934865 0.08 0.08 43.02690013 26.16062536 -2215.287924
82 0.139173101 43.80446402 0.254451582 0.08 0.08 43.80446402 26.09016049 -2519.137963
83 0.121869343 44.57979689 0.258955339 0.08 0.08 44.57979689 26.01072578 -2818.0383
84 0.104528463 45.352634 0.263444599 0.08 0.08 45.352634 25.92247051 -3111.858582
85 0.087155743 46.1227151 0.26791785 0.08 0.08 46.1227151 25.82554773 -3400.475145
86 0.069756474 46.88978455 0.272373606 0.08 0.08 46.88978455 25.72011406 -3683.771096
87 0.052335956 47.65359142 0.276810411 0.08 0.08 47.65359142 25.60632952 -3961.636384
88 0.034899497 48.4138896 0.281226835 0.08 0.08 48.4138896 25.48435728 -4233.96786
89 0.017452406 49.17043787 0.285621476 0.08 0.08 49.17043787 25.35436348 -4500.669333
90 6.12574E-17 49.923 0.289992963 0.08 0.08 49.923 25.21651703 -4761.651616
91 -0.017452406 50.67134482 0.294339952 0.08 0.08 50.67134482 25.07098939 -5016.832559
92 -0.034899497 51.41524632 0.29866113 0.08 0.08 51.41524632 24.91795435 -5266.137083
93 -0.052335956 52.15448366 0.302955216 0.08 0.08 52.15448366 24.75758782 -5509.497195
94 -0.069756474 52.88884129 0.307220956 0.08 0.08 52.88884129 24.59006766 -5746.852002
95 -0.087155743 53.61810898 0.31145713 0.08 0.08 53.61810898 24.41557341 -5978.147712
96 -0.104528463 54.34208184 0.315662547 0.08 0.08 54.34208184 24.23428611 -6203.337625
97 -0.121869343 55.06056042 0.319836049 0.08 0.08 55.06056042 24.04638809 -6422.382125
98 -0.139173101 55.7733507 0.323976508 0.08 0.08 55.7733507 23.85206276 -6635.248652
99 -0.156434465 56.48026413 0.32808283 0.08 0.08 56.48026413 23.65149436 -6841.911671
100 -0.173648178 57.18111765 0.332153952 0.08 0.08 57.18111765 23.44486784 -7042.35263
101 -0.190808995 57.87573371 0.336188841 0.08 0.08 57.87573371 23.23236855 -7236.559919
102 -0.207911691 58.56394031 0.340186499 0.08 0.08 58.56394031 23.01418211 -7424.528802
103 -0.224951054 59.24557093 0.344145958 0.08 0.08 59.24557093 22.79049418 -7606.261363
104 -0.241921896 59.9204646 0.348066283 0.08 0.08 59.9204646 22.56149025 -7781.766425
105 -0.258819045 60.58846587 0.351946572 0.08 0.08 60.58846587 22.32735543 -7951.059475
106 -0.275637356 61.24942478 0.355785954 0.08 0.08 61.24942478 22.08827431 -8114.16257
107 -0.292371705 61.90319686 0.359583588 0.08 0.08 61.90319686 21.84443069 -8271.104246
108 -0.309016994 62.54964308 0.363338668 0.08 0.08 62.54964308 21.59600745 -8421.919409
109 -0.325568154 63.18862987 0.367050418 0.08 0.08 63.18862987 21.34318634 -8566.649227
110 -0.342020143 63.820029 0.370718092 0.08 0.08 63.820029 21.08614776 -8705.341009
111 -0.35836795 64.44371764 0.374340977 0.08 0.08 64.44371764 20.82507065 -8838.048081
112 -0.374606593 65.05957824 0.377918391 0.08 0.08 65.05957824 20.56013226 -8964.829655
113 -0.390731128 65.66749847 0.381449681 0.08 0.08 65.66749847 20.29150798 -9085.750684
114 -0.406736643 66.26737125 0.384934225 0.08 0.08 66.26737125 20.0193712 -9200.88172
115 -0.422618262 66.85909457 0.388371431 0.08 0.08 66.85909457 19.74389314 -9310.298762
116 -0.438371147 67.44257151 0.391760734 0.08 0.08 67.44257151 19.46524264 -9414.083096
117 -0.4539905 68.01771014 0.395101602 0.08 0.08 68.01771014 19.18358607 -9512.321132
118 -0.469471563 68.58442344 0.398393529 0.08 0.08 68.58442344 18.89908716 -9605.104231
119 -0.48480962 69.1426292 0.401636038 0.08 0.08 69.1426292 18.61190684 -9692.528534
120 -0.5 69.69225 0.404828677 0.08 0.08 69.69225 18.32220311 -9774.694776
121 -0.515038075 70.23321304 0.407971026 0.08 0.08 70.23321304 18.03013089 -9851.708104
122 -0.529919264 70.76545009 0.411062687 0.08 0.08 70.76545009 17.73584195 -9923.677886
123 -0.544639035 71.2888974 0.414103291 0.08 0.08 71.2888974 17.43948469 -9990.717513
124 -0.559192903 71.80349557 0.417092491 0.08 0.08 71.80349557 17.14120413 -10052.9442
125 -0.573576436 72.30918949 0.420029968 0.08 0.08 72.30918949 16.84114171 -10110.4788
126 -0.587785252 72.80592817 0.422915426 0.08 0.08 72.80592817 16.53943523 -10163.44554
127 -0.601815023 73.2936647 0.425748593 0.08 0.08 73.2936647 16.23621876 -10211.97191
128 -0.615661475 73.77235608 0.428529217 0.08 0.08 73.77235608 15.93162252 -10256.18834
129 -0.629320391 74.24196313 0.431257073 0.08 0.08 74.24196313 15.6257728 -10296.22806
130 -0.64278761 74.70245038 0.433931954 0.08 0.08 74.70245038 15.31879189 -10332.22685
131 -0.656059029 75.15378594 0.436553674 0.08 0.08 75.15378594 15.01079801 -10364.32281
132 -0.669130606 75.59594135 0.439122068 0.08 0.08 75.59594135 14.70190524 -10392.65618
133 -0.68199836 76.02889152 0.441636991 0.08 0.08 76.02889152 14.39222344 -10417.36905
134 -0.69465837 76.45261454 0.444098316 0.08 0.08 76.45261454 14.08185824 -10438.60518
135 -0.707106781 76.86709159 0.446505932 0.08 0.08 76.86709159 13.77091095 -10456.50977
136 -0.7193398 77.27230681 0.448859748 0.08 0.08 77.27230681 13.45947854 -10471.22921
137 -0.731353702 77.66824714 0.451159688 0.08 0.08 77.66824714 13.14765363 -10482.91085
138 -0.743144825 78.05490222 0.453405692 0.08 0.08 78.05490222 12.83552442 -10491.7028
139 -0.75470958 78.43226426 0.455597714 0.08 0.08 78.43226426 12.52317471 -10497.75367
140 -0.766044443 78.80032789 0.457735724 0.08 0.08 78.80032789 12.21068385 -10501.21235
141 -0.777145961 79.15909002 0.459819703 0.08 0.08 79.15909002 11.89812678 -10502.22778
142 -0.788010754 79.50854976 0.461849647 0.08 0.08 79.50854976 11.58557401 -10500.94873
143 -0.79863551 79.84870822 0.463825561 0.08 0.08 79.84870822 11.2730916 -10497.52357
144 -0.809016994 80.17956843 0.465747463 0.08 0.08 80.17956843 10.96074124 -10492.10003
145 -0.819152044 80.50113518 0.467615382 0.08 0.08 80.50113518 10.64858021 -10484.82499
146 -0.829037573 80.8134149 0.469429354 0.08 0.08 80.8134149 10.33666143 -10475.84427
147 -0.838670568 81.11641553 0.471189425 0.08 0.08 81.11641553 10.02503353 -10465.30238
148 -0.848048096 81.41014641 0.472895651 0.08 0.08 81.41014641 9.713740837 -10453.34232
149 -0.857167301 81.69461812 0.474548091 0.08 0.08 81.69461812 9.402823443 -10440.10539
150 -0.866025404 81.96984236 0.476146815 0.08 0.08 81.96984236 9.092317277 -10425.73091
151 -0.874619707 82.23583187 0.477691896 0.08 0.08 82.23583187 8.782254146 -10410.3561
152 -0.882947593 82.49260026 0.479183414 0.08 0.08 82.49260026 8.472661808 -10394.11582
153 -0.891006524 82.74016189 0.480621451 0.08 0.08 82.74016189 8.163564048 -10377.14238
154 -0.898794046 82.97853179 0.482006095 0.08 0.08 82.97853179 7.854980749 -10359.56536
155 -0.906307787 83.20772553 0.483337437 0.08 0.08 83.20772553 7.546927983 -10341.51138
156 -0.913545458 83.42775908 0.484615569 0.08 0.08 83.42775908 7.2394181 -10323.10399
157 -0.920504853 83.63864875 0.485840586 0.08 0.08 83.63864875 6.93245982 -10304.46339
158 -0.927183855 83.84041103 0.487012583 0.08 0.08 83.84041103 6.626058338 -10285.70634
159 -0.933580426 84.03306253 0.488131658 0.08 0.08 84.03306253 6.320215427 -10266.94593
160 -0.939692621 84.21661985 0.489197907 0.08 0.08 84.21661985 6.014929552 -10248.29146
161 -0.945518576 84.39109953 0.490211425 0.08 0.08 84.39109953 5.710195981 -10229.84823
162 -0.951056516 84.55651787 0.491172308 0.08 0.08 84.55651787 5.406006913 -10211.71745
163 -0.956304756 84.71289095 0.492080649 0.08 0.08 84.71289095 5.102351595 -10193.99602
164 -0.961261696 84.86023444 0.492936539 0.08 0.08 84.86023444 4.799216455 -10176.77646
165 -0.965925826 84.9985636 0.493740066 0.08 0.08 84.9985636 4.496585238 -10160.14672
166 -0.970295726 85.12789314 0.494491316 0.08 0.08 85.12789314 4.194439138 -10144.19009
167 -0.974370065 85.24823719 0.495190371 0.08 0.08 85.24823719 3.892756942 -10128.98505
168 -0.978147601 85.35960923 0.495837309 0.08 0.08 85.35960923 3.591515173 -10114.60518
169 -0.981627183 85.46202198 0.496432205 0.08 0.08 85.46202198 3.290688241 -10101.11904
170 -0.984807753 85.55548737 0.496975127 0.08 0.08 85.55548737 2.99024859 -10088.59008
171 -0.987688341 85.64001651 0.49746614 0.08 0.08 85.64001651 2.690166852 -10077.07655
172 -0.990268069 85.7156196 0.497905304 0.08 0.08 85.7156196 2.390412004 -10066.63138
173 -0.992546152 85.78230586 0.498292671 0.08 0.08 85.78230586 2.09095153 -10057.30217
174 -0.994521895 85.84008358 0.498628291 0.08 0.08 85.84008358 1.791751575 -10049.13106
175 -0.996194698 85.88895998 0.498912204 0.08 0.08 85.88895998 1.492777112 -10042.1547
176 -0.99756405 85.92894124 0.499144448 0.08 0.08 85.92894124 1.193992108 -10036.4042
177 -0.998629535 85.96003245 0.499325051 0.08 0.08 85.96003245 0.895359684 -10031.90507
178 -0.999390827 85.9822376 0.499454036 0.08 0.08 85.9822376 0.596842288 -10028.67717
179 -0.999847695 85.99555954 0.49953142 0.08 0.08 85.99555954 0.29840186 -10026.73475
180 -1 86 0.499557214 0.08 0.08 86 2.09461E-15 -10026.08632
181 -0.999847695 85.99555954 0.49953142 0.08000506 0.08000506 85.99555954 -0.29840186 -10026.73475
182 -0.999390827 85.9822376 0.499454036 0.080020245 0.08002025 85.9822376 -0.596842288 -10028.67717
183 -0.998629535 85.96003245 0.499325051 0.080045567 0.08004557 85.96003245 -0.895359684 -10031.90507
184 -0.99756405 85.92894124 0.499144448 0.080081045 0.08008105 85.92894124 -1.193992108 -10036.4042
185 -0.996194698 85.88895998 0.498912204 0.080126708 0.08012671 85.88895998 -1.492777112 -10042.1547
186 -0.994521895 85.84008358 0.498628291 0.080182592 0.08018259 85.84008358 -1.791751575 -10049.13106
187 -0.992546152 85.78230586 0.498292671 0.080248741 0.08024874 85.78230586 -2.09095153 -10057.30217
188 -0.990268069 85.7156196 0.497905304 0.080325208 0.08032521 85.7156196 -2.390412004 -10066.63138
189 -0.987688341 85.64001651 0.49746614 0.080412052 0.08041205 85.64001651 -2.690166852 -10077.07655
190 -0.984807753 85.55548737 0.496975127 0.080509344 0.08050934 85.55548737 -2.99024859 -10088.59008
191 -0.981627183 85.46202198 0.496432205 0.08061716 0.08061716 85.46202198 -3.290688241 -10101.11904
192 -0.978147601 85.35960923 0.495837309 0.080735585 0.08073559 85.35960923 -3.591515173 -10114.60518
193 -0.974370065 85.24823719 0.495190371 0.080864715 0.08086472 85.24823719 -3.892756942 -10128.98505
194 -0.970295726 85.12789314 0.494491316 0.081004653 0.08100465 85.12789314 -4.194439138 -10144.19009
195 -0.965925826 84.9985636 0.493740066 0.081155509 0.08115551 84.9985636 -4.496585238 -10160.14672
196 -0.961261696 84.86023444 0.492936539 0.081317405 0.08131741 84.86023444 -4.799216455 -10176.77646
197 -0.956304756 84.71289095 0.492080649 0.08149047 0.08149047 84.71289095 -5.102351595 -10193.99602
198 -0.951056516 84.55651787 0.491172308 0.081674844 0.08167484 84.55651787 -5.406006913 -10211.71745
199 -0.945518576 84.39109953 0.490211425 0.081870675 0.08187067 84.39109953 -5.710195981 -10229.84823
200 -0.939692621 84.21661985 0.489197907 0.08207812 0.08207812 84.21661985 -6.014929552 -10248.29146
201 -0.933580426 84.03306253 0.488131658 0.082297347 0.08229735 84.03306253 -6.320215427 -10266.94593
202 -0.927183855 83.84041103 0.487012583 0.082528535 0.08252853 83.84041103 -6.626058338 -10285.70634
203 -0.920504853 83.63864875 0.485840586 0.08277187 0.08277187 83.63864875 -6.93245982 -10304.46339
204 -0.913545458 83.42775908 0.484615569 0.083027552 0.08302755 83.42775908 -7.2394181 -10323.10399
205 -0.906307787 83.20772553 0.483337437 0.083295788 0.08329579 83.20772553 -7.546927983 -10341.51138
0
0 0.1 0.2 0.3 0.4 0.5 0.6
Vx [dm^3]
0
20
40
60
80
100
0 200 400 600 800
Xp
unghi de rotatie arb. cotit
Deplasarea Xp
Deplasarea Xp
-30
-20
-10
0
10
20
30
0 200 400 600 800vit
eza
unghi rotatie arb. cotit
Viteza pistonului
Viteza pistonului
-15000
-10000
-5000
0
5000
10000
15000
20000
25000
0 200 400 600 800
Acceleratia pistonului
Acceleratia pistonului
-
206 -0.898794046 82.97853179 0.482006095 0.0835768 0.0835768 82.97853179 -7.854980749 -10359.56536
207 -0.891006524 82.74016189 0.480621451 0.083870817 0.08387082 82.74016189 -8.163564048 -10377.14238
208 -0.882947593 82.49260026 0.479183414 0.084178083 0.08417808 82.49260026 -8.472661808 -10394.11582
209 -0.874619707 82.23583187 0.477691896 0.084498853 0.08449885 82.23583187 -8.782254146 -10410.3561
210 -0.866025404 81.96984236 0.476146815 0.084833392 0.08483339 81.96984236 -9.092317277 -10425.73091
211 -0.857167301 81.69461812 0.474548091 0.085181981 0.08518198 81.69461812 -9.402823443 -10440.10539
212 -0.848048096 81.41014641 0.472895651 0.085544911 0.08554491 81.41014641 -9.713740837 -10453.34232
213 -0.838670568 81.11641553 0.471189425 0.085922487 0.08592249 81.11641553 -10.02503353 -10465.30238
214 -0.829037573 80.8134149 0.469429354 0.08631503 0.08631503 80.8134149 -10.33666143 -10475.84427
215 -0.819152044 80.50113518 0.467615382 0.086722871 0.08672287 80.50113518 -10.64858021 -10484.82499
216 -0.809016994 80.17956843 0.465747463 0.08714636 0.08714636 80.17956843 -10.96074124 -10492.10003
217 -0.79863551 79.84870822 0.463825561 0.08758586 0.08758586 79.84870822 -11.2730916 -10497.52357
218 -0.788010754 79.50854976 0.461849647 0.088041749 0.08804175 79.50854976 -11.58557401 -10500.94873
219 -0.777145961 79.15909002 0.459819703 0.088514423 0.08851442 79.15909002 -11.89812678 -10502.22778
220 -0.766044443 78.80032789 0.457735724 0.089004293 0.08900429 78.80032789 -12.21068385 -10501.21235
221 -0.75470958 78.43226426 0.455597714 0.089511789 0.08951179 78.43226426 -12.52317471 -10497.75367
222 -0.743144825 78.05490222 0.453405692 0.090037359 0.09003736 78.05490222 -12.83552442 -10491.7028
223 -0.731353702 77.66824714 0.451159688 0.090581468 0.09058147 77.66824714 -13.14765363 -10482.91085
224 -0.7193398 77.27230681 0.448859748 0.091144603 0.0911446 77.27230681 -13.45947854 -10471.22921
225 -0.707106781 76.86709159 0.446505932 0.091727269 0.09172727 76.86709159 -13.77091095 -10456.50977
226 -0.69465837 76.45261454 0.444098316 0.092329993 0.09232999 76.45261454 -14.08185824 -10438.60518
227 -0.68199836 76.02889152 0.441636991 0.092953325 0.09295333 76.02889152 -14.39222344 -10417.36905
228 -0.669130606 75.59594135 0.439122068 0.093597837 0.09359784 75.59594135 -14.70190524 -10392.65618
229 -0.656059029 75.15378594 0.436553674 0.094264123 0.09426412 75.15378594 -15.01079801 -10364.32281
230 -0.64278761 74.70245038 0.433931954 0.094952804 0.0949528 74.70245038 -15.31879189 -10332.22685
231 -0.629320391 74.24196313 0.431257073 0.095664526 0.09566453 74.24196313 -15.6257728 -10296.22806
232 -0.615661475 73.77235608 0.428529217 0.096399962 0.09639996 73.77235608 -15.93162252 -10256.18834
233 -0.601815023 73.2936647 0.425748593 0.097159814 0.09715981 73.2936647 -16.23621876 -10211.97191
234 -0.587785252 72.80592817 0.422915426 0.097944811 0.09794481 72.80592817 -16.53943523 -10163.44554
235 -0.573576436 72.30918949 0.420029968 0.098755714 0.09875571 72.30918949 -16.84114171 -10110.4788
236 -0.559192903 71.80349557 0.417092491 0.099593316 0.09959332 71.80349557 -17.14120413 -10052.9442
237 -0.544639035 71.2888974 0.414103291 0.100458444 0.10045844 71.2888974 -17.43948469 -9990.717513
238 -0.529919264 70.76545009 0.411062687 0.101351958 0.10135196 70.76545009 -17.73584195 -9923.677886
239 -0.515038075 70.23321304 0.407971026 0.102274757 0.10227476 70.23321304 -18.03013089 -9851.708104
240 -0.5 69.69225 0.404828677 0.103227775 0.10322778 69.69225 -18.32220311 -9774.694776
241 -0.48480962 69.1426292 0.401636038 0.10421199 0.10421199 69.1426292 -18.61190684 -9692.528534
242 -0.469471563 68.58442344 0.398393529 0.105228419 0.10522842 68.58442344 -18.89908716 -9605.104231
243 -0.4539905 68.01771014 0.395101602 0.106278123 0.10627812 68.01771014 -19.18358607 -9512.321132
244 -0.438371147 67.44257151 0.391760734 0.107362211 0.10736221 67.44257151 -19.46524264 -9414.083096
245 -0.422618262 66.85909457 0.388371431 0.108481837 0.10848184 66.85909457 -19.74389314 -9310.298762
246 -0.406736643 66.26737125 0.384934225 0.10963821 0.10963821 66.26737125 -20.0193712 -9200.88172
247 -0.390731128 65.66749847 0.381449681 0.110832588 0.11083259 65.66749847 -20.29150798 -9085.750684
248 -0.374606593 65.05957824 0.377918391 0.112066287 0.11206629 65.05957824 -20.56013226 -8964.829655
249 -0.35836795 64.44371764 0.374340977 0.113340681 0.11334068 64.44371764 -20.82507065 -8838.048081
250 -0.342020143 63.820029 0.370718092 0.114657205 0.11465721 63.820029 -21.08614776 -8705.341009
251 -0.325568154 63.18862987 0.367050418 0.116017359 0.11601736 63.18862987 -21.34318634 -8566.649227
252 -0.309016994 62.54964308 0.363338668 0.11742271 0.11742271 62.54964308 -21.59600745 -8421.919409
253 -0.292371705 61.90319686 0.359583588 0.118874898 0.1188749 61.90319686 -21.84443069 -8271.104246
254 -0.275637356 61.24942478 0.355785954 0.120375637 0.12037564 61.24942478 -22.08827431 -8114.16257
255 -0.258819045 60.58846587 0.351946572 0.12192672 0.12192672 60.58846587 -22.32735543 -7951.059475
256 -0.241921896 59.9204646 0.348066283 0.123530023 0.12353002 59.9204646 -22.56149025 -7781.766425
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588 -0.669130606 75.59594135 0.439122068 0.12 0.12479321 75.59594135 -14.70190524 -10392.65618
589 -0.656059029 75.15378594 0.436553674 0.12 0.12239655 75.15378594 -15.01079801 -10364.32281
590 -0.64278761 74.70245038 0.433931954 0.12 0.12 74.70245038 -15.31879189 -10332.22685
591 -0.629320391 74.24196313 0.431257073 0.12 0.12 74.24196313 -15.6257728 -10296.22806
592 -0.615661475 73.77235608 0.428529217 0.12 0.12 73.77235608 -15.93162252 -10256.18834
593 -0.601815023 73.2936647 0.425748593 0.12 0.12 73.2936647 -16.23621876 -10211.97191
594 -0.587785252 72.80592817 0.422915426 0.12 0.12 72.80592817 -16.53943523 -10163.44554
595 -0.573576436 72.30918949 0.420029968 0.12 0.12 72.30918949 -16.84114171 -10110.4788
596 -0.559192903 71.80349557 0.417092491 0.12 0.12 71.80349557 -17.14120413 -10052.9442
597 -0.544639035 71.2888974 0.414103291 0.12 0.12 71.2888974 -17.43948469 -9990.717513
598 -0.529919264 70.76545009 0.411062687 0.12 0.12 70.76545009 -17.73584195 -9923.677886
599 -0.515038075 70.23321304 0.407971026 0.12 0.12 70.23321304 -18.03013089 -9851.708104
600 -0.5 69.69225 0.404828677 0.12 0.12 69.69225 -18.32220311 -9774.694776
601 -0.48480962 69.1426292 0.401636038 0.12 0.12 69.1426292 -18.61190684 -9692.528534
602 -0.469471563 68.58442344 0.398393529 0.12 0.12 68.58442344 -18.89908716 -9605.104231
603 -0.4539905 68.01771014 0.395101602 0.12 0.12 68.01771014 -19.18358607 -9512.321132
604 -0.438371147 67.44257151 0.391760734 0.12 0.12 67.44257151 -19.46524264 -9414.083096
605 -0.422618262 66.85909457 0.388371431 0.12 0.12 66.85909457 -19.74389314 -9310.298762
606 -0.406736643 66.26737125 0.384934225 0.12 0.12 66.26737125 -20.0193712 -9200.88172
607 -0.390731128 65.66749847 0.381449681 0.12 0.12 65.66749847 -20.29150798 -9085.750684
608 -0.374606593 65.05957824 0.377918391 0.12 0.12 65.05957824 -20.56013226 -8964.829655
609 -0.35836795 64.44371764 0.374340977 0.12 0.12 64.44371764 -20.82507065 -8838.048081
610 -0.342020143 63.820029 0.370718092 0.12 0.12 63.820029 -21.08614776 -8705.341009
611 -0.325568154 63.18862987 0.367050418 0.12 0.12 63.18862987 -21.34318634 -8566.649227
612 -0.309016994 62.54964308 0.363338668 0.12 0.12 62.54964308 -21.59600745 -8421.919409
613 -0.292371705 61.90319686 0.359583588 0.12 0.12 61.90319686 -21.84443069 -8271.104246
614 -0.275637356 61.24942478 0.355785954 0.12 0.12 61.24942478 -22.08827431 -8114.16257
615 -0.258819045 60.58846587 0.351946572 0.12 0.12 60.58846587 -22.32735543 -7951.059475
616 -0.241921896 59.9204646 0.348066283 0.12 0.12 59.9204646 -22.56149025 -7781.766425
617 -0.224951054 59.24557093 0.344145958 0.12 0.12 59.24557093 -22.79049418 -7606.261363
618 -0.207911691 58.56394031 0.340186499 0.12 0.12 58.56394031 -23.01418211 -7424.528802
619 -0.190808995 57.87573371 0.336188841 0.12 0.12 57.87573371 -23.23236855 -7236.559919
620 -0.173648178 57.18111765 0.332153952 0.12 0.12 57.18111765 -23.44486784 -7042.35263
621 -0.156434465 56.48026413 0.32808283 0.12 0.12 56.48026413 -23.65149436 -6841.911671
622 -0.139173101 55.7733507 0.323976508 0.12 0.12 55.7733507 -23.85206276 -6635.248652
623 -0.121869343 55.06056042 0.319836049 0.12 0.12 55.06056042 -24.04638809 -6422.382125
624 -0.104528463 54.34208184 0.315662547 0.12 0.12 54.34208184 -24.23428611 -6203.337625
625 -0.087155743 53.61810898 0.31145713 0.12 0.12 53.61810898 -24.41557341 -5978.147712
626 -0.069756474 52.88884129 0.307220956 0.12 0.12 52.88884129 -24.59006766 -5746.852002
627 -0.052335956 52.15448366 0.302955216 0.12 0.12 52.15448366 -24.75758782 -5509.497195
628 -0.034899497 51.41524632 0.29866113 0.12 0.12 51.41524632 -24.91795435 -5266.137083
629 -0.017452406 50.67134482 0.294339952 0.12 0.12 50.67134482 -25.07098939 -5016.832559
630 -4.28802E-16 49.923 0.289992963 0.12 0.12 49.923 -25.21651703 -4761.651616
631 0.017452406 49.17043787 0.285621476 0.12 0.12 49.17043787 -25.35436348 -4500.669333
632 0.034899497 48.4138896 0.281226835 0.12 0.12 48.4138896 -25.48435728 -4233.96786
633 0.052335956 47.65359142 0.276810411 0.12 0.12 47.65359142 -25.60632952 -3961.636384
634 0.069756474 46.88978455 0.272373606 0.12 0.12 46.88978455 -25.72011406 -3683.771096
635 0.087155743 46.1227151 0.26791785 0.12 0.12 46.1227151 -25.82554773 -3400.475145
636 0.104528463 45.352634 0.263444599 0.12 0.12 45.352634 -25.92247051 -3111.858582
637 0.121869343 44.57979689 0.258955339 0.12 0.12 44.57979689 -26.01072578 -2818.0383
638 0.139173101 43.80446402 0.254451582 0.12 0.12 43.80446402 -26.09016049 -2519.137963
639 0.156434465 43.02690013 0.249934865 0.12 0.12 43.02690013 -26.16062536 -2215.287924
640 0.173648178 42.24737437 0.245406752 0.12 0.12 42.24737437 -26.22197512 -1906.625141
641 0.190808995 41.46616011 0.240868831 0.12 0.12 41.46616011 -26.27406863 -1593.293079
642 0.207911691 40.6835349 0.236322713 0.12 0.12 40.6835349 -26.31676915 -1275.441607
643 0.224951054 39.89978025 0.231770036 0.12 0.12 39.89978025 -26.34994449 -953.2268824
644 0.241921896 39.11518158 0.227212455 0.12 0.12 39.11518158 -26.37346717 -626.8112388
645 0.258819045 38.330028 0.222651651 0.12 0.12 38.330028 -26.38721467 -296.3630511
646 0.275637356 37.54461218 0.218089324 0.12 0.12 37.54461218 -26.39106955 37.9433962
647 0.292371705 36.75923025 0.213527194 0.12 0.12 36.75923025 -26.38491964 375.9280528
648 0.309016994 35.97418157 0.208966999 0.12 0.12 35.97418157 -26.36865823 717.4052525
649 0.325568154 35.18976858 0.204410497 0.12 0.12 35.18976858 -26.3421842 1062.183871
650 0.342020143 34.40629668 0.199859462 0.12 0.12 34.40629668 -26.3054022 1410.067488
651 0.35836795 33.62407398 0.195315683 0.12 0.12 33.62407398 -26.2582228 1760.854564
652 0.374606593 32.8434112 0.190780965 0.12 0.12 32.8434112 -26.20056267 2114.33861
653 0.390731128 32.06462142 0.186257127 0.12 0.12 32.06462142 -26.13234465 2470.30838
654 0.406736643 31.28801994 0.181746001 0.12 0.12 31.28801994 -26.05349798 2828.548054
655 0.422618262 30.51392406 0.177249429 0.12 0.12 30.51392406 -25.96395836 3188.837442
656 0.438371147 29.74265288 0.172769265 0.12 0.12 29.74265288 -25.86366812 3550.952179
657 0.4539905 28.97452716 0.168307373 0.12 0.12 28.97452716 -25.75257632 3914.66394
658 0.469471563 28.20986904 0.163865623 0.12 0.12 28.20986904 -25.63063887 4279.740647
659 0.48480962 27.44900186 0.159445894 0.12 0.12 27.44900186 -25.49781864 4645.946693
660 0.5 26.69225 0.15505007 0.12 0.12 26.69225 -25.35408558 5013.04316
661 0.515038075 25.93993859 0.15068004 0.12 0.12 25.93993859 -25.19941678 5380.788054
662 0.529919264 25.19239336 0.146337696 0.12 0.12 25.19239336 -25.03379658 5748.936528
663 0.544639035 24.44994038 0.142024931 0.12 0.12 24.44994038 -24.85721663 6117.241126
664 0.559192903 23.71290587 0.137743642 0.12 0.12 23.71290587 -24.66967601 6485.452022
665 0.573576436 22.98161596 0.133495721 0.12 0.12 22.98161596 -24.47118125 6853.317259
666 0.587785252 22.25639648 0.129283063 0.12 0.12 22.25639648 -24.26174641 7220.583003
667 0.601815023 21.53757271 0.125107556 0.12 0.12 21.53757271 -24.04139312 7586.993788
668 0.615661475 20.8254692 0.120971086 0.12 0.12 20.8254692 -23.81015066 7952.29277
669 0.629320391 20.1204095 0.116875532 0.12 0.12 20.1204095 -23.56805595 8316.221982
670 0.64278761 19.42271595 0.112822766 0.12 0.12 19.42271595 -23.31515361 8678.522595
671 0.656059029 18.73270944 0.108814653 0.12 0.12 18.73270944 -23.05149596 9038.935171
672 0.669130606 18.0507092 0.104853047 0.12 0.12 18.0507092 -22.77714306 9397.199926
673 0.68199836 17.37703255 0.10093979 0.12 0.12 17.37703255 -22.4921627 9753.056996
674 0.69465837 16.71199468 0.097076715 0.12 0.12 16.71199468 -22.19663041 10106.24669
675 0.707106781 16.05590841 0.093265638 0.12 0.12 16.05590841 -21.89062943 10456.50977
676 0.7193398 15.40908398 0.089508361 0.12 0.12 15.40908398 -21.57425072 10803.5877
677 0.731353702 14.7718288 0.08580667 0.12 0.12 14.7718288 -21.24759289 11147.2229
678 0.743144825 14.14444723 0.082162333 0.12 0.12 14.14444723 -20.91076224 11487.15905
679 0.75470958 13.52724036 0.078577099 0.12 0.12 13.52724036 -20.56387265 11823.14131
680 0.766044443 12.92050578 0.075052696 0.12 0.12 12.92050578 -20.20704557 12154.9166
681 0.777145961 12.32453734 0.071590832 0.12 0.12 12.32453734 -19.84040994 12482.23385
682 0.788010754 11.73962495 0.06819319 0.12 0.12 11.73962495 -19.46410215 12804.8443
683 0.79863551 11.16605436 0.06486143 0.12 0.12 11.16605436 -19.07826596 13122.50169
684 0.809016994 10.60410692 0.061597187 0.12 0.12 10.60410692 -18.68305241 13434.96257
685 0.819152044 10.05405937 0.058402068 0.12 0.12 10.05405937 -18.27861975 13741.98653
686 0.829037573 9.516183657 0.055277653 0.12 0.12 9.516183657 -17.86513332 14043.33645
687 0.838670568 8.990746688 0.052225493 0.12 0.12 8.990746688 -17.44276547 14338.77877
688 0.848048096 8.478010141 0.049247106 0.12 0.12 8.478010141 -17.01169547 14628.08368
689 0.857167301 7.978230255 0.046343982 0.12 0.12 7.978230255 -16.57210933 14911.02544
690 0.866025404 7.491657637 0.043517577 0.12 0.12 7.491657637 -16.12419976 15187.38253
691 0.874619707 7.01853706 0.040769312 0.12 0.12 7.01853706 -15.66816595 15456.93794
692 0.882947593 6.559107272 0.038100574 0.12 0.12 6.559107272 -15.20421351 15719.47941
693 0.891006524 6.113600809 0.035512714 0.12 0.12 6.113600809 -14.73255429 15974.79958
694 0.898794046 5.682243812 0.033007045 0.12 0.12 5.682243812 -14.25340623 16222.69627
695 0.906307787 5.265255846 0.030584844 0.12 0.12 5.265255846 -13.76699321 16462.9727
696 0.913545458 4.862849727 0.028247345 0.12 0.12 4.862849727 -13.27354488 16695.43765
697 0.920504853 4.475231352 0.025995745 0.12 0.12 4.475231352 -12.77329649 16919.90569
698 0.927183855 4.102599535 0.0238312 0.12 0.12 4.102599535 -12.26648875 17136.19738
699 0.933580426 3.745145847 0.021754821 0.12 0.12 3.745145847 -11.75336758 17344.13945
700 0.939692621 3.403054466 0.019767679 0.12 0.12 3.403054466 -11.23418399 17543.56498
701 0.945518576 3.076502026 0.0178708 0.12 0.12 3.076502026 -10.70919384 17734.31359
702 0.951056516 2.765657473 0.016065164 0.12 0.12 2.765657473 -10.17865769 17916.2316
703 0.956304756 2.470681936 0.014351709 0.12 0.12 2.470681936 -9.642840549 18089.17222
704 0.961261696 2.19172859 0.012731324 0.12 0.12 2.19172859 -9.1020117 18252.99563
705 0.965925826 1.928942534 0.011204851 0.12 0.12 1.928942534 -8.55644448 18407.56925
706 0.970295726 1.682460677 0.009773086 0.12 0.12 1.682460677 -8.006416064 18552.76775
707 0.974370065 1.452411623 0.008436776 0.12 0.12 1.452411623 -7.452207245 18688.47329
708 0.978147601 1.238915567 0.007196619 0.12 0.12 1.238915567 -6.894102212 18814.57559
709 0.981627183 1.042084199 0.006053264 0.12 0.12 1.042084199 -6.332388322 18930.97204
710 0.984807753 0.862020614 0.005007309 0.12 0.12 0.862020614 -5.76735587 19037.56786
711 0.987688341 0.698819223 0.004059304 0.12 0.12 0.698819223 -5.199297853 19134.27614
712 0.990268069 0.552565684 0.003209746 0.12 0.12 0.552565684 -4.628509737 19221.01799
713 0.992546152 0.423336823 0.002459081 0.12 0.12 0.423336823 -4.055289218 19297.72259
714 0.994521895 0.311200579 0.001807703 0.12 0.12 0.311200579 -3.479935974 19364.32726
715 0.996194698 0.216215945 0.001255956 0.12 0.12 0.216215945 -2.902751431 19420.77756
716 0.99756405 0.138432919 0.00080413 0.12 0.12 0.138432919 -2.324038509 19467.0273
717 0.998629535 0.077892465 0.000452462 0.12 0.12 0.077892465 -1.74410138 19503.03865
718 0.999390827 0.034626478 0.000201138 0.12 0.12 0.034626478 -1.163245218 19528.78212
719 0.999847695 0.008657761 5.02912E-05 0.12 0.12 0.008657761 -0.581775948 19544.23664
720 1 0 0 0.12 0.12 0 -1.63367E-14 19549.38955
-
x4 74.70245038
p4 0.419009357 x5 74.70245038 p1 0.863691478
p* 0.238767411 x1 7.491657637
x2 0.862020614
x3 3.403054466
p3 4.647221537
Calcul piston
D 86 mm
min max alese
6.88 8.6 8
L 68.8 94.6 70
Hc 38.7 64.5 50
Lm 25.8 43 40
du 25.8 43 32
B 25.8 34.4 30
s 4.3 8.6 8
H1 5.16 10.32 10
h h=1.52.5 1.5 2.5 2
H2 3.01 3.87 3.5
d 20.64 24.08 20
a 3.44 3.87 3.5
a 0.50.95 0.5 0.95 0.95
a 3.268 3.698 3.5
a 0.8.1.1 0.8 1.1 1
D 0.86 dm
Puterea specifica 43.03811333 kW Pslim 20 kW/dm^2
0.03..0.09 0.06
ge 275..394 315
Hi 43929.5
R 30.55
q 1966.45164
10 mm
8 mm
p 12 mm
qr=qa=0.5*q q=qr+qa 983.2258199
152.941186 K
t 146.159 150
65.54838799 K
jmax 19549.38955 m/s^2
jz jz=jmax-500 19049.38955 m/s^2
r r=S/2 43 mm
586.4306287 rad/s
0.322
R 43
Ri 29.5
k 1.331186653
E 73000 MPa
0.32.0.36 0.35
dB 3040 35
-1t 110.170 110 MPa
c 90120 100 MPa
-1 6070 65 MPa
2.7 kg/dm^3
p (20.5..21.5)*10^-6 0.000021
Tipul si locul efortului unitar
-164.2576799 MPa
-211.9866007 MPa
-23.58544791 MPa
-71.31436865 MPa
-107.5246249 MPa
-138.9510747 MPa
20.60844518 MPa
-10.81800469 MPa
10.81800469 MPa
-20.60844518 MPa
138.9510747 MPa
107.5246249 MPa
t1max -164.2576799 MPa
t1min -211.9866007 Mpa
t2max -23.58544791 Mpa
t2min -71.31436865 Mpa
Calculul la oboseala a capului pistonului
c
r1 23.86446037 -188.1221403 1.29057345 2.233792253
r2 23.86446037 -47.44990828 3.023659713 3.432100915
r3 15.71322493 -123.2378498 1.292272118 3.400629599
r4 15.71322493 4.895220241 -0.524930658 3.998243653
t3 15.71322493 -4.895220241 -1.905013518 3.998243653
t4 15.71322493 123.2378498 0.773830825 3.400629599
117
1.53968254
0.111111111
1
1
1
Verificarea regiunii portsegmenti
Verificarea primului umar de segment
32.31583074 MPa
2.420661479 MPa
radial, in centru, pe fibra
exterioara
radial, in centru, pe fibra
interioara
segmenti de compresie
segment de ungere
radial, la periferie, pe fibra
exterioara
Eforturi echivalente
tangential, la periferie, pe fibra
exterioara
tangential, la periferie, pe fibra
interioara
radial, la periferie, pe fibra
interioara
1.0....08.0D
1.1....8.0D
L
75.0...45.0D
H c
5.0....3.0D
Lm
5.0.....3.0D
du
4.0...3.0D
B
10.0...05.0D
s
12.0...06.01 D
H
045.0....035.02 D
H
28.0....24.0D
d
045.0....04.0D
a
043.0...038.0D
a
4*
2Di
PP eS
2**
***
Ri
HgPeq ie
2
* p
**4
**
2
irpcr
RqTTT
**aiea
qTTT
)1(10 23max rj
22
22
*
*
i
i
i RR
RR
RRk
6022
1 108
13
214
3
max
*
max jppR
TE
Tk
kEa
iarr
6022
1 108
13
214
3
ZZ
iarr jpp
RT
ET
k
kE *min
6022
2 108
13
214
3
ZZ
iarr jpp
RT
ET
k
kE *max
6022
2 108
13
214
3
max
*
min jppR
TE
Tk
kEa
iarr
602
2
3 104
3
1212
ZZp
iarr jpp
RT
ET
k
E *max
602
2
3 104
3
1212
max
*
min jppRTE
Tk
Ea
p
iarr
602
2
4 104
3
1212
max
*
max jppRTE
Tk
Ea
p
iarr
602
2
4 104
3
1212
ZZ
p
iarr jpp
RTET
k
E *min
6022
3 104
3
1212
ZZ
p
iart jpp
RTET
k
kE *max
6022
3 104
3
1212
max
*
min jppRTE
Tk
kEa
p
iart
6022
4 104
3
1212
max
*
max jppRTE
Tk
kEa
p
iart
6022
4 104
3
1212
ZZ
p
iart jpp
RTET
k
kE *min
max
min
max
min 11 rt
max
min
max
min 22 rt
2
minmax
V2
minmax
mmax
min
Y
0
012
c
cZ
1
1
1
10 *8.1
mvm
v cZ
**
1
mv
c
m
v cZ
*
2
2
2
max*)22(
)(*)(**7.2
HaaD
aaaaDpzu
2
2
max*)22(
)(*)(*9.0
HaaD
aaaaDp zu
-
32.67646438 MPa
117
21.01465194
-2.185487158
0.188205276 kg
0.069705658 dm^3
1736.672 mm^2
Amplitudinea eforturilor 11.60006955
Efortul mediu 9.414582391
Coeficientul de asimetrie -0.103998256
0.111111111
Daca se indeplineste conditia coeficientul are
formulaaltfel are formula
c 8.698310309
VERIFICAREA UMERILOR PISTONULUI
55.7496237
pz 7
p0 0.1
D 86
jz 19049.38955
Masa specifica aluminiu 2700
Masa specifica otel 7850
0.000604207 kg
0.000604207 kg
0.000604207 kg
Masa boltului 0.113936141 kg
diametrul interior al boltului 0.4*d 8
Masa capului pistonului 0.188205276 kg
Masa umerilor
segmentului+masa mantalei0.158076146
D4 76 mm
Mpiston ms+mcp+mum 0.348094042 kg
d 20 mm
l 60 mm
B 30 mm
-9.678433373 MPa
61
x=d/du 0.625
-9.995514583 MPa
0.158540605
-9.836973978
1.032761626
0.111111111
Daca se indeplineste conditia coeficientul are
formulaaltfel are formula
c 87.89187795
0.008024722
p 0.000021
b 0.0000115
Tu 150
Tb 135
c 0.04
DM (0,00030,0013) * D 0.0516 mm
DCp 0,002.0,004) * D 0.258 mm
DTc (100..115) 110
M.A.S.
Rcire cu lichid valori alese
DTcp1 170.230 200
DTm1 120.160 140
DTm2 80...110 95
c ac = (1112) * 10-6 0.000011
Dcp 85.68843341 M.A.S.
Dm 86.0511894 min max 4 timpi
DDcp = D Dcp 0.311566594 0.602 0.774DDcp (7.9) *
10-3
* D
DDm = D Dm -0.0511894 0.0516 0.129
DDm (6..15) * 10-
4 * D
Dimensionarea segmentilor
a 3.153.7 3.5 mm
A 1.5 mm
B 2 mm
C 2.5 mm
s 0.15..0.3 0.2 mm
h1 0.3 mm
pe din grafic 0.14
p()
0 0.13062 p2/pe 0.205
10 0.130762503 p3/pe -0.571
20 0.131185683 p4/pe 0.472
30 0.131876682 p5/pe -0.322
40 0.132814503 p6/pe 0.279
50 0.133970652 p7/pe -0.267
60 0.13531 p8/pe 0.256
70 0.136791851 p9/pe -0.214
80 0.13837118 p10/pe 0.178
90 0.14 p11/pe -0.177
100 0.14162882 p12/pe 0.094
110 0.143208149
120 0.14469
130 0.146029348
140 0.147185497
Verificarea sectiunii transversale prin canalul segmentului de ungere
Profilarea n plan longitudinal
VERIFICAREA I PROFILAREA MANTALEI PISTONULUI
Mcp=*Vcp
Tip motor
Vcp=*r^2*h
Acp
Masa segmentilor
Adoptarea legii de distributie a presiunii
MPa
2
max
2
max 4 urez
*
2
max
1c
cp
zcpz
cA
jMDpp
*4
*4**)( 20max
cp
cpa
cA
jMDpp
*4
*4**)( max2
0
min
2
minmax ccv
2
minmax cc
m
max
min
c
cy
t
tt
0
01
c
t
c
t
m
V
1
1
1
mV
tc
***
1
mV
cc
***
)(**4
**4** 20max
Bld
MjDppp
pzz
u
)(*1**
)(**4**
43
22
0
maxBlxd
BDMjDpp
u
ipzz
i
)(*)1(**
)(**4**
43
2
max
2
0
minBlxd
BDMjDpp
u
ipa
i
2
minmax iiV
2
minmax iim
max
min
i
iy
0
012
c
t
c
t
m
V
1
1
1
mV
tc
***
1
mV
cc
***
up
bbupc
rT
TTd
1
)(
)(
xHcp
TmCpCp
CpTcDDcp
p
c
1111
1
)(
)(
xLm
TmTmTm
MTcDDm
p
c
2111
1
otelha ***2
lddm iotelb *)(4
22
*)(*
4
)(***
4
*222
4
2
BDdd
LDD
m ii
mus
ni
i e
i
e ip
ppp
2
)cos(1)(
-
150 0.148123318
160 0.148814317
170 0.149237497
180 0.14938
190 0.149237497
200 0.148814317
210 0.148123318
220 0.147185497
230 0.146029348
240 0.14469
250 0.143208149
260 0.14162882
270 0.14
280 0.13837118
290 0.136791851
300 0.13531
310 0.133970652
320 0.132814503
330 0.131876682
340 0.131185683
350 0.130762503
360 0.13062
