c5_diagramele_miscarii tachetului.doc
TRANSCRIPT
4
Cap.5 DIAGRAMELE MICRII TACHETULUI
Diagramele micrii tachetului sunt reprezentrile grafice ale funciilor de transmitere a poziiilor - (), a vitezelor - () i a acceleraiilor (), calculate pentru poziii ale camei date de unghiul n intervalul .
Valoarea zero a parametrului corespunde momentului de nceput al fazei de urcare. Diagramele sunt determinate pe ciclul cinematic n succesiunea fazelor: urcare, staionare n poziia superioar (pe cercul de vrf), coborre, staionare n poziia inferioar (pe cercul de baz).
Se d:
unghiurile de faz: ; ; ; ;
cursa tachetului: mm.
a). Calculul funciilor de transmitere s, , , n faza de urcare
In intervalul , se consider poziii ale camei date de unghiul , unde k este contorul poziiilor i ia valorile: 0, 1, 2, 3, , iar este pasul unghiular.
Pentru fiecare poziie k se calculeaz :
, , , ,
, , ,
unde: ; ; .
Valorile sunt nregistrate tabelar i pe baza lor se construiesc diagramele micrii n faza de urcare.
b). Calculul funciilor de transmitere s, , , n faza de staionare pe cercul de
vrf
In intervalul , tachetul este n repaus, iar funciile de transmitere au valorile:
, , .
c). Calculul funciilor de transmitere s, , , n faza de coborre
In intervalul se consider poziia camei este dat de unghiul , definit de relaia: . Desigur c unghiul i ia valorile determinate cu relaia:.
Pentru fiecare poziie k se calculeaz:
, , , ,
, , ,
unde: ; ; .
Valorile sunt nregistrate tabelar i pe baza lor se construiesc diagramele micrii n faza de coborre.
d). Calculul funciilor de transmitere s, , , n faza de staionare pe cercul de
baz
In intervalul , tachetul este n repaus, iar funciile de transmitere au valorile:
, , .
Legea liniar
Faza
MicriiPoz.
k
[grade]xy
S[mm] [mm] [mm]
DE URCARE0.00.0000.0001.0000.0000.0004.7750.000
1.100.0830.0831.0000.0000.8334.7750.000
2.200.1670.1671.0000.0001.6674.7750.000
3.300.2500.2501.0000.0002.5004.7750.000
4.400.3330.3331.0000.0003.3334.7750.000
5.500.4170.4171.0000.0004.1674.7750.000
6.600.5000.5001.0000.0005.0004.7750.000
7.700.5830.5831.0000.0005.8334.7750.000
8.800.6670.6671.0000.0006.6674.7750.000
9.900.7500.7501.0000.0007.5004.7750.000
10.1000.8330.8331.0000.0008.3334.7750.000
11.1100.9170.9171.0000.0009.1674.7750.000
12.1201.0001.0001.0000.00010.0004.7750.000
DE
VARF
12.1200.0000.0000.0000.00010.0000.0000.000
13.1300.0000.0000.0000.00010.0000.0000.000
14.1400.0000.0000.0000.00010.0000.0000.000
15.1500.0000.0000.0000.00010.0000.0000.000
16.1600.0000.0000.0000.00010.0000.0000.000
17.1700.0000.0000.0000.00010.0000.0000.000
18.1800.0000.0000.0000.00010.0000.0000.000
DE COBORARE18.1801.0001.0001.0000.00010.000-4.7750.000
19.1900.9170.9171.0000.0009.167-4.7750.000
20.2000.8330.8331.0000.0008.333-4.7750.000
21.2100.7500.7501.0000.0007.500-4.7750.000
22.2200.6670.6671.0000.0006.667-4.7750.000
23.2300.5830.5831.0000.0005.833-4.7750.000
24.2400.5000.5001.0000.0005.000-4.7750.000
25.2500.4170.4171.0000.0004.167-4.7750.000
26.2600.3330.3331.0000.0003.333-4.7750.000
27.2700.2500.2501.0000.0002.500-4.7750.000
28.2800.1670.1671.0000.0001.667-4.7750.000
29.2900.0830.0831.0000.0000.833-4.7750.000
30.3000.0000.0001.0000.0000.000-4.7750.000
DE
BAZA30.3100.0000.0000.0000.0000.0000.0000.000
31.3200.0000.0000.0000.0000.0000.0000.000
32.3200.0000.0000.0000.0000.0000.0000.000
33.3300.0000.0000.0000.0000.0000.0000.000
34.3400.0000.0000.0000.0000.0000.0000.000
35.3500.0000.0000.0000.0000.0000.0000.000
36.3600.0000.0000.0000.0000.0000.0000.000
Diagramele s, s , s pentru legea LINIARA
Legea parabolic
Faza
MicriiPoz.
k
[grade]xy
s
[mm] [mm] [mm]
DE URCARE0.00.0000.0000.0004.0000.0000.0009.119
1.100.0830.0140.3334.0000.1391.5929.119
2.200.1670.0560.6674.0000.5563.1839.119
3.300.2500.1251.0004.0001.2504.7759.119
4.400.3330.2221.3334.0002.2226.3669.119
5.500.4170.3471.6674.0003.4727.9589.119
6.600.5000.5002.0004.0005.0009.5499.119
6.600.5000.5002.000-4.0005.0009.549-9.119
7.700.5830.6531.667-4.0006.5287.958-9.119
8.800.6670.7781.333-4.0007.7786.366-9.119
9.900.7500.8751.000-4.0008.7504.775-9.119
10.1000.8330.9440.667-4.0009.4443.183-9.119
11.1100.9170.9860.333-4.0009.8611.592-9.119
12.1201.0001.0000.000-4.00010.0000.000-9.119
DE
VARF
12.1200.0000.0000.0000.00010.0000.0000.000
13.1300.0000.0000.0000.00010.0000.0000.000
14.1400.0000.0000.0000.00010.0000.0000.000
15.1500.0000.0000.0000.00010.0000.0000.000
16.1600.0000.0000.0000.00010.0000.0000.000
17.1700.0000.0000.0000.00010.0000.0000.000
18.1800.0000.0000.0000.00010.0000.0000.000
DE COBORARE18.1801.0001.0000.000-4.00010.0000.000-9.119
19.1900.9170.9860.333-4.0009.861-1.592-9.119
20.2000.8330.9440.667-4.0009.444-3.183-9.119
21.2100.7500.8751.000-4.0008.750-4.775-9.119
22.2200.6670.7781.333-4.0007.778-6.366-9.119
23.2300.5830.6531.667-4.0006.528-7.958-9.119
24.2400.5000.5002.000-4.0005.000-9.549-9.119
24.2400.5000.5002.0004.0005.000-9.5499.119
25.2500.4170.3471.6674.0003.472-7.9589.119
26.2600.3330.2221.3334.0002.222-6.3669.119
27.2700.2500.1251.0004.0001.250-4.7759.119
28.2800.1670.0560.6674.0000.556-3.1839.119
29.2900.0830.0140.3334.0000.139-1.5929.119
30.3000.0000.0000.0004.0000.0000.0009.119
DE
BAZA30.3100.0000.0000.0000.0000.0000.0000.000
31.3200.0000.0000.0000.0000.0000.0000.000
32.3200.0000.0000.0000.0000.0000.0000.000
33.3300.0000.0000.0000.0000.0000.0000.000
34.3400.0000.0000.0000.0000.0000.0000.000
35.3500.0000.0000.0000.0000.0000.0000.000
36.3600.0000.0000.0000.0000.0000.0000.000
Diagramele s, s , s pentru legea PARABOLICA
Legea sinusoidal
Faza
MicriiPoz.
k
[grade]xy
S[mm] [mm] [mm]
DE URCARE0.00.0000.0000.0000.0000.0000.0000.000
1.100.0830.0040.1343.1420.0380.6407.162
2.200.1670.0290.5005.4410.2882.38712.405
3.300.2500.0911.0006.2830.9084.77514.324
4.400.3330.1961.5005.4411.9557.16212.405
5.500.4170.3371.8663.1423.3718.9107.162
6.600.5000.5002.0000.0005.0009.5490.000
7.700.5830.6631.866-3.1426.6298.910-7.162
8.800.6670.8041.500-5.4418.0457.162-12.405
9.900.7500.9091.000-6.2839.0924.775-14.324
10.1000.8330.9710.500-5.4419.7122.387-12.405
11.1100.9170.9960.134-3.1429.9620.640-7.162
12.1201.0001.0000.0000.00010.0000.0000.000
DE
VARF
12.1200.0000.0000.0000.00010.0000.0000.000
13.1300.0000.0000.0000.00010.0000.0000.000
14.1400.0000.0000.0000.00010.0000.0000.000
15.1500.0000.0000.0000.00010.0000.0000.000
16.1600.0000.0000.0000.00010.0000.0000.000
17.1700.0000.0000.0000.00010.0000.0000.000
18.1800.0000.0000.0000.00010.0000.0000.000
DE COBORARE18.1801.0001.0000.0000.00010.0000.0000.000
19.1900.9170.9960.134-3.1429.962-0.640-7.162
20.2000.8330.9710.500-5.4419.712-2.387-12.405
21.2100.7500.9091.000-6.2839.092-4.775-14.324
22.2200.6670.8041.500-5.4418.045-7.162-12.405
23.2300.5830.6631.866-3.1426.629-8.910-7.162
24.2400.5000.5002.0000.0005.000-9.5490.000
25.2500.4170.3371.8663.1423.371-8.9107.162
26.2600.3330.1961.5005.4411.955-7.16212.405
27.2700.2500.0911.0006.2830.908-4.77514.324
28.2800.1670.0290.5005.4410.288-2.38712.405
29.2900.0830.0040.1343.1420.038-0.6407.162
30.3000.0000.0000.0000.0000.0000.0000.000
DE
BAZA30.3100.0000.0000.0000.0000.0000.0000.000
31.3200.0000.0000.0000.0000.0000.0000.000
32.3200.0000.0000.0000.0000.0000.0000.000
33.3300.0000.0000.0000.0000.0000.0000.000
34.3400.0000.0000.0000.0000.0000.0000.000
35.3500.0000.0000.0000.0000.0000.0000.000
36.3600.0000.0000.0000.0000.0000.0000.000
Diagramele s, s , s pentru legea SINUSOIDALA
Legea cosinusoidal
Faza
MicriiPoz.
k
[grade]xy
s
[mm] [mm] [mm]
DE URCARE0.00.0000.0000.0004.9350.0000.00011.250
1.100.0830.0170.4074.7670.1701.94110.867
2.200.1670.0670.7854.2740.6703.7509.743
3.300.2500.1461.1113.4891.4645.3037.955
4.400.3330.2501.3602.4672.5006.4955.625
5.500.4170.3711.5171.2773.7067.2442.912
6.600.5000.5001.5710.0005.0007.5000.000
7.700.5830.6291.517-1.2776.2947.244-2.912
8.800.6670.7501.360-2.4677.5006.495-5.625
9.900.7500.8541.111-3.4898.5365.303-7.955
10.1000.8330.9330.785-4.2749.3303.750-9.743
11.1100.9170.9830.407-4.7679.8301.941-10.867
12.1201.0001.0000.000-4.93510.0000.000-11.250
DE
VARF
12.1200.0000.0000.0000.00010.0000.0000.000
13.1300.0000.0000.0000.00010.0000.0000.000
14.1400.0000.0000.0000.00010.0000.0000.000
15.1500.0000.0000.0000.00010.0000.0000.000
16.1600.0000.0000.0000.00010.0000.0000.000
17.1700.0000.0000.0000.00010.0000.0000.000
18.1800.0000.0000.0000.00010.0000.0000.000
DE COBORARE18.1801.0001.0000.000-4.93510.0000.000-11.250
19.1900.9170.9830.407-4.7679.830-1.941-10.867
20.2000.8330.9330.785-4.2749.330-3.750-9.743
21.2100.7500.8541.111-3.4898.536-5.303-7.955
22.2200.6670.7501.360-2.4677.500-6.495-5.625
23.2300.5830.6291.517-1.2776.294-7.244-2.912
24.2400.5000.5001.5710.0005.000-7.5000.000
25.2500.4170.3711.5171.2773.706-7.2442.912
26.2600.3330.2501.3602.4672.500-6.4955.625
27.2700.2500.1461.1113.4891.464-5.3037.955
28.2800.1670.0670.7854.2740.670-3.7509.743
29.2900.0830.0170.4074.7670.170-1.94110.867
30.3000.0000.0000.0004.9350.0000.00011.250
DE
BAZA30.3100.0000.0000.0000.0000.0000.0000.000
31.3200.0000.0000.0000.0000.0000.0000.000
32.3200.0000.0000.0000.0000.0000.0000.000
33.3300.0000.0000.0000.0000.0000.0000.000
34.3400.0000.0000.0000.0000.0000.0000.000
35.3500.0000.0000.0000.0000.0000.0000.000
36.3600.0000.0000.0000.0000.0000.0000.000
Diagramele s, s , s pentru legea COSINUSOIDALALegea polinomial 2 - 3
Faza
MicriiPoz.
k
[grade]xy
S[mm] [mm] [mm]
DE URCARE0.00.0000.0000.0006.0000.0000.00013.678
1.100.0830.0200.4585.0000.1972.18811.399
2.200.1670.0740.8334.0000.7413.9799.119
3.300.2500.1561.1253.0001.5635.3716.839
4.400.3330.2591.3332.0002.5936.3664.559
5.500.4170.3761.4581.0003.7626.9632.280
6.600.5000.5001.5000.0005.0007.1620.000
7.700.5830.6241.458-1.0006.2386.963-2.280
8.800.6670.7411.333-2.0007.4076.366-4.559
9.900.7500.8441.125-3.0008.4385.371-6.839
10.1000.8330.9260.833-4.0009.2593.979-9.119
11.1100.9170.9800.458-5.0009.8032.188-11.399
12.1201.0001.0000.000-6.00010.0000.000-13.678
DE
VARF
12.1200.0000.0000.0000.00010.0000.0000.000
13.1300.0000.0000.0000.00010.0000.0000.000
14.1400.0000.0000.0000.00010.0000.0000.000
15.1500.0000.0000.0000.00010.0000.0000.000
16.1600.0000.0000.0000.00010.0000.0000.000
17.1700.0000.0000.0000.00010.0000.0000.000
18.1800.0000.0000.0000.00010.0000.0000.000
DE COBORARE18.1801.0001.0000.000-6.00010.0000.000-13.678
19.1900.9170.9800.458-5.0009.803-2.188-11.399
20.2000.8330.9260.833-4.0009.259-3.979-9.119
21.2100.7500.8441.125-3.0008.438-5.371-6.839
22.2200.6670.7411.333-2.0007.407-6.366-4.559
23.2300.5830.6241.458-1.0006.238-6.963-2.280
24.2400.5000.5001.5000.0005.000-7.1620.000
25.2500.4170.3761.4581.0003.762-6.9632.280
26.2600.3330.2591.3332.0002.593-6.3664.559
27.2700.2500.1561.1253.0001.563-5.3716.839
28.2800.1670.0740.8334.0000.741-3.9799.119
29.2900.0830.0200.4585.0000.197-2.18811.399
30.3000.0000.0000.0006.0000.0000.00013.678
DE
BAZA30.3100.0000.0000.0000.0000.0000.0000.000
31.3200.0000.0000.0000.0000.0000.0000.000
32.3200.0000.0000.0000.0000.0000.0000.000
33.3300.0000.0000.0000.0000.0000.0000.000
34.3400.0000.0000.0000.0000.0000.0000.000
35.3500.0000.0000.0000.0000.0000.0000.000
36.3600.0000.0000.0000.0000.0000.0000.000
Diagramele s, s , s pentru legea POLINOMIALA 2-3
Legea 4-6-8-10
Faza
MicriiPoz.
k
[grade]xy
s
[mm] [mm] [mm]
DE URCARE0.00.0000.0000.0000.0000.0000.0000.000
1.100.0830.0000.0230.8050.0050.1081.834
2.200.1670.0070.1702.8880.0730.8136.584
3.300.2500.0340.5155.3560.3442.45912.210
4.400.3330.0981.0407.0230.9824.96816.011
5.500.4170.2101.6336.8172.0977.79715.542
6.600.5000.3672.1094.2193.67210.0729.618
7.700.5830.5532.280-0.3705.52710.885-0.844
8.800.6670.7352.032-5.4877.3549.703-12.509
9.900.7500.8811.413-8.8828.8096.747-20.250
10.1000.8330.9670.660-8.4299.6713.153-19.215
11.1100.9170.9970.126-3.9129.9720.599-8.919
12.1201.0001.0000.0000.00010.0000.0000.000
DE
VARF
12.1200.0000.0000.0000.00010.0000.0000.000
13.1300.0000.0000.0000.00010.0000.0000.000
14.1400.0000.0000.0000.00010.0000.0000.000
15.1500.0000.0000.0000.00010.0000.0000.000
16.1600.0000.0000.0000.00010.0000.0000.000
17.1700.0000.0000.0000.00010.0000.0000.000
18.1800.0000.0000.0000.00010.0000.0000.000
DE COBORARE18.1801.0001.0000.0000.00010.0000.0000.000
19.1900.9170.9970.126-3.9129.972-0.599-8.919
20.2000.8330.9670.660-8.4299.671-3.153-19.215
21.2100.7500.8811.413-8.8828.809-6.747-20.250
22.2200.6670.7352.032-5.4877.354-9.703-12.509
23.2300.5830.5532.280-0.3705.527-10.885-0.844
24.2400.5000.3672.1094.2193.672-10.0729.618
25.2500.4170.2101.6336.8172.097-7.79715.542
26.2600.3330.0981.0407.0230.982-4.96816.011
27.2700.2500.0340.5155.3560.344-2.45912.210
28.2800.1670.0070.1702.8880.073-0.8136.584
29.2900.0830.0000.0230.8050.005-0.1081.834
30.3000.0000.0000.0000.0000.0000.0000.000
DE
BAZA30.3100.0000.0000.0000.0000.0000.0000.000
31.3200.0000.0000.0000.0000.0000.0000.000
32.3200.0000.0000.0000.0000.0000.0000.000
33.3300.0000.0000.0000.0000.0000.0000.000
34.3400.0000.0000.0000.0000.0000.0000.000
35.3500.0000.0000.0000.0000.0000.0000.000
36.3600.0000.0000.0000.0000.0000.0000.000
Diagramele s, s , s pentru legea POLINOMIALA 4-6-8-10
_1142930242.unknown
_1142931022.unknown
_1145183930.unknown
_1145184015.unknown
_1487229225.xlsChart1
009.118906
0.0013888890.1591559.118906
0.0055555560.31830999.118906
0.01250.47746489.118906
0.022222220.63661989.118906
0.034722220.79577479.118906
0.050.95492969.118906
0.068055561.1140859.118906
0.08888891.273249.118906
0.11251.4323959.118906
0.13888891.5915499.118906
0.16805561.7507049.118906
0.21.9098599.118906
0.23472222.0690149.118906
0.27222222.2281699.118906
0.31252.3873249.118906
0.35555562.5464799.118906
0.40138892.7056349.118906
0.452.8647899.118906
0.50138883.0239449.118906
0.55555563.1830999.118906
0.61253.3422549.118906
0.67222233.5014099.118906
0.73472213.6605639.118906
0.80000013.8197199.118906
0.86805553.9788739.118906
0.93888894.1380299.118906
1.01254.2971839.118906
1.0888894.4563389.118906
1.1680554.6154939.118906
1.254.7746489.118906
1.3347224.9338039.118906
1.4222225.0929589.118906
1.51255.2521139.118906
1.6055565.4112689.118906
1.7013895.5704239.118906
1.85.7295789.118906
1.9013895.8887339.118906
2.0055556.0478889.118906
2.11256.2070429.118906
2.2222226.3661989.118906
2.3347226.5253529.118906
2.456.6845079.118906
2.5680556.8436629.118906
2.6888897.0028189.118906
2.81257.1619729.118906
2.9388897.3211279.118906
3.0680567.4802829.118906
3.27.6394379.118906
3.3347227.7985929.118906
3.4722227.9577479.118906
3.61258.1169029.118906
3.7555568.2760579.118906
3.9013898.4352129.118906
4.058.5943669.118906
4.2013898.7535229.118906
4.3555568.9126779.118906
4.51259.0718329.118906
4.6722229.2309879.118906
4.8347239.3901419.118906
59.5492969.118906
59.549296-9.11891
5.1652779.390141-9.118906
5.3277779.230987-9.118906
5.48759.071832-9.118906
5.6444458.912676-9.118906
5.7986128.753521-9.118906
5.958.594366-9.118906
6.0986118.435212-9.118906
6.2444448.276057-9.118906
6.38758.116902-9.118906
6.5277777.957747-9.118906
6.6652777.798593-9.118906
6.8000017.639437-9.118906
6.9319447.480282-9.118906
7.0611117.321127-9.118906
7.18757.161972-9.118906
7.3111117.002818-9.118906
7.4319446.843663-9.118906
7.556.684508-9.118906
7.6652786.525352-9.118906
7.7777786.366197-9.118906
7.88756.207042-9.118906
7.9944446.047888-9.118906
8.0986115.888733-9.118906
8.25.729578-9.118906
8.2986115.570423-9.118906
8.3944445.411268-9.118906
8.48755.252112-9.118906
8.5777785.092957-9.118906
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