over hung den hartog

8/12/2019 Over Hung Den Hartog

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The geometry to be solved is shown in the tab "RotorSketch"

Input the data in the green-colored cells in the InputAndData tab

Tab "Rotorsketch"- includes the geometry to be solved

Tab "InputAndData"Provides location to input the data to define the geometry

Input English-unit parameters into the green cells. (column A)

Alternatively, you can input directly into the corresponding grey Metric-unit cells i

BUT, then you will overwrite the English-metric formulas and the disp

Point-mass frequency is displayed on InputAndData (cell E20) - it doesn't have much import

TabOutputChartDisplays Speed (vertical axis) vs whirl frequency (horizontal axis) (Note this is opposite of

Forward whirl in brown, reverse whirl in green (see legend)

The frequency at intersection of the forward-whirl curve with the 45-degree line (Speed=Fre

The frequency where the forward/backward whirl curves hit the horizontal axis is the bump-t

* you can read these frequences more accurately by holding your mouse over th

Calculation Method

Based on Den Hartog pages 260-264

The formulas for coefficients alpha11, alpha12, alpha22 were solved by Maple as shown in

The three frequencies were checked against Cridspd

Applies to relatively thin rotors.

Neglects shaft mass and shear deformation


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column E

layed data in column A would be irrelevant (should be deleted)

ance.

ost Campbell diagrams)

uency) is the critical speed *

est frequency *

em which will display the point info

df=> AdobeAcrobat7.0Document


3/48

Lbblength

betweenbearings

Lohlength

overhung

Kb(bearing s tiffness) Kb(bearing s tiffness)


4/48

Ldisk

ODdisk


5/48

Input

English Metric

Value Units Definition Symbol Value Units Formula22 inches Distance Between Bearings Lbb 0.55 m =+A4/40

8 inches

Distance overhung (inbd brg to

disk center) Loh 0.2 m =+A5/40

2.2 inches Shaft diameter Dshaft 0.055 m =+A6/40

3.00E+07 lbf/inch^2 Steel E E_ 2.06841E+11 N/m^2 =+A7*6894.

494 lbm/ft^3 Steel Density Rho 7913.120907 kg/m^3 =16.018463

0 inches Disk Inner Diameter ID_Disk 0 m =+A9/40

35.4 inches Disk Outer Diameter OD_Disk 0.885 m =+A10/40

0.42 inches Disk Length (how thick is it) L_Disk 0.0105 m =+A11/401 None Disk Density fraction (0-1) RhoFractio 1 None =+A12

100000 lbf/inch Bearing Stiffness Kb_ 17800000 N/m =+A13*4.45

Diametral area MOI of Shaft Ishaft 4.4918E-07 m^4 =+PI()*Dsh

Diametral mass MOI of Disk Idisk 2.501958386 kg*m^2 =+PI()*(OD

112.443979 pounds Disk Mass M_Disk 51.1108994 kg =+PI()*L_Di

Y/Fapp * alpha11 2.19528E-07 m/N =+(Lbb^2*K

T/Fapp * alpha12 7.86349E-07 1/N =+(3*Lbb^2

Y/Mapplied * alpha22 4.49734E-06 1/(N-m) =+(3*Lbb^2

PointMassFrequency FpointMas 47.51369734 hz =+SQRT(1/

* See Den Hartog for alpha11 through alpha 22 Numerator Formula =+G26*M_Disk*alp

Denominator Formula =2*E26*Idisk * (F26

Whirl Freq w w^2 w^4

-400 -2513.274123 6E+06-399 -2506.990938 6E+06 3.95E+13

-398 -2500.707752 6E+06 3.911E+13

-397 -2494.424567 6E+06 3.872E+13

-396 -2488.141382 6E+06 3.833E+13

-395 -2481.858196 6E+06 3.794E+13

-394 -2475.575011 6E+06 3.756E+13


6/48


7/48

-326 -2048.31841 4E+06 1.76E+13

-325 -2042.035225 4E+06 1.739E+13

-324 -2035.75204 4E+06 1.718E+13

-323 -2029.468854 4E+06 1.696E+13

-322 -2023.185669 4E+06 1.675E+13

-321 -2016.902484 4E+06 1.655E+13

-320 -2010.619298 4E+06 1.634E+13

-319 -2004.336113 4E+06 1.614E+13

-318 -1998.052928 4E+06 1.594E+13

-317 -1991.769742 4E+06 1.574E+13

-316 -1985.486557 4E+06 1.554E+13

-315 -1979.203372 4E+06 1.534E+13-314 -1972.920186 4E+06 1.515E+13

-313 -1966.637001 4E+06 1.496E+13

-312 -1960.353816 4E+06 1.477E+13

-311 -1954.070631 4E+06 1.458E+13

-310 -1947.787445 4E+06 1.439E+13

-309 -1941.50426 4E+06 1.421E+13

-308 -1935.221075 4E+06 1.403E+13

-307 -1928.937889 4E+06 1.384E+13

-306 -1922.654704 4E+06 1.366E+13-305 -1916.371519 4E+06 1.349E+13

-304 -1910.088333 4E+06 1.331E+13

-303 -1903.805148 4E+06 1.314E+13

-302 -1897.521963 4E+06 1.296E+13

-301 -1891.238777 4E+06 1.279E+13

-300 -1884.955592 4E+06 1.262E+13

-299 -1878.672407 4E+06 1.246E+13

-298 -1872.389222 4E+06 1.229E+13

-297 -1866.106036 3E+06 1.213E+13

-296 -1859.822851 3E+06 1.196E+13

-295 -1853.539666 3E+06 1.18E+13

-294 -1847.25648 3E+06 1.164E+13

-293 -1840.973295 3E+06 1.149E+13

-292 -1834.69011 3E+06 1.133E+13


8/48

-275 -1727.875959 3E+06 8.914E+12

-274 -1721.592774 3E+06 8.785E+12

-273 -1715.309589 3E+06 8.657E+12

-272 -1709.026404 3E+06 8.531E+12

-271 -1702.743218 3E+06 8.406E+12

-270 -1696.460033 3E+06 8.283E+12

-269 -1690.176848 3E+06 8.161E+12

-268 -1683.893662 3E+06 8.04E+12

-267 -1677.610477 3E+06 7.921E+12

-266 -1671.327292 3E+06 7.803E+12

-265 -1665.044106 3E+06 7.686E+12

-264 -1658.760921 3E+06 7.571E+12-263 -1652.477736 3E+06 7.457E+12

-262 -1646.19455 3E+06 7.344E+12

-261 -1639.911365 3E+06 7.232E+12

-260 -1633.62818 3E+06 7.122E+12

-259 -1627.344995 3E+06 7.013E+12

-258 -1621.061809 3E+06 6.906E+12

-257 -1614.778624 3E+06 6.799E+12

-256 -1608.495439 3E+06 6.694E+12

-255 -1602.212253 3E+06 6.59E+12-254 -1595.929068 3E+06 6.487E+12

-253 -1589.645883 3E+06 6.386E+12

-252 -1583.362697 3E+06 6.285E+12

-251 -1577.079512 2E+06 6.186E+12

-250 -1570.796327 2E+06 6.088E+12

-249 -1564.513141 2E+06 5.991E+12

-248 -1558.229956 2E+06 5.896E+12

-247 -1551.946771 2E+06 5.801E+12

-246 -1545.663586 2E+06 5.708E+12

-245 -1539.3804 2E+06 5.615E+12

-244 -1533.097215 2E+06 5.524E+12

-243 -1526.81403 2E+06 5.434E+12

-242 -1520.530844 2E+06 5.345E+12

-241 -1514.247659 2E+06 5.258E+12


9/48

-224 -1407.433509 2E+06 3.924E+12

-223 -1401.150324 2E+06 3.854E+12

-222 -1394.867138 2E+06 3.786E+12

-221 -1388.583953 2E+06 3.718E+12

-220 -1382.300768 2E+06 3.651E+12

-219 -1376.017582 2E+06 3.585E+12

-218 -1369.734397 2E+06 3.52E+12

-217 -1363.451212 2E+06 3.456E+12

-216 -1357.168026 2E+06 3.393E+12

-215 -1350.884841 2E+06 3.33E+12

-214 -1344.601656 2E+06 3.269E+12

-213 -1338.31847 2E+06 3.208E+12-212 -1332.035285 2E+06 3.148E+12

-211 -1325.7521 2E+06 3.089E+12

-210 -1319.468915 2E+06 3.031E+12

-209 -1313.185729 2E+06 2.974E+12

-208 -1306.902544 2E+06 2.917E+12

-207 -1300.619359 2E+06 2.862E+12

-206 -1294.336173 2E+06 2.807E+12

-205 -1288.052988 2E+06 2.753E+12

-204 -1281.769803 2E+06 2.699E+12-203 -1275.486617 2E+06 2.647E+12

-202 -1269.203432 2E+06 2.595E+12

-201 -1262.920247 2E+06 2.544E+12

-200 -1256.637061 2E+06 2.494E+12

-199 -1250.353876 2E+06 2.444E+12

-198 -1244.070691 2E+06 2.395E+12

-197 -1237.787506 2E+06 2.347E+12

-196 -1231.50432 2E+06 2.3E+12

-195 -1225.221135 2E+06 2.254E+12

-194 -1218.93795 1E+06 2.208E+12

-193 -1212.654764 1E+06 2.162E+12

-192 -1206.371579 1E+06 2.118E+12

-191 -1200.088394 1E+06 2.074E+12

-190 -1193.805208 1E+06 2.031E+12


10/48

-173 -1086.991058 1E+06 1.396E+12

-172 -1080.707873 1E+06 1.364E+12

-171 -1074.424688 1E+06 1.333E+12

-170 -1068.141502 1E+06 1.302E+12

-169 -1061.858317 1E+06 1.271E+12

-168 -1055.575132 1E+06 1.242E+12

-167 -1049.291946 1E+06 1.212E+12

-166 -1043.008761 1E+06 1.183E+12

-165 -1036.725576 1E+06 1.155E+12

-164 -1030.44239 1E+06 1.127E+12

-163 -1024.159205 1E+06 1.1E+12

-162 -1017.87602 1E+06 1.073E+12-161 -1011.592834 1E+06 1.047E+12

-160 -1005.309649 1E+06 1.021E+12

-159 -999.0264638 1E+06 9.961E+11

-158 -992.7432785 1E+06 9.713E+11

-157 -986.4600932 1E+06 9.469E+11

-156 -980.1769079 1E+06 9.23E+11

-155 -973.8937226 9E+05 8.996E+11

-154 -967.6105373 9E+05 8.766E+11

-153 -961.327352 9E+05 8.541E+11-152 -955.0441667 9E+05 8.319E+11

-151 -948.7609814 9E+05 8.103E+11

-150 -942.4777961 9E+05 7.89E+11

-149 -936.1946108 9E+05 7.682E+11

-148 -929.9114255 9E+05 7.478E+11

-147 -923.6282402 9E+05 7.278E+11

-146 -917.3450548 8E+05 7.082E+11

-145 -911.0618695 8E+05 6.89E+11

-144 -904.7786842 8E+05 6.701E+11

-143 -898.4954989 8E+05 6.517E+11

-142 -892.2123136 8E+05 6.337E+11

-141 -885.9291283 8E+05 6.16E+11

-140 -879.645943 8E+05 5.987E+11

-139 -873.3627577 8E+05 5.818E+11


11/48

-122 -766.5486075 6E+05 3.453E+11

-121 -760.2654222 6E+05 3.341E+11

-120 -753.9822369 6E+05 3.232E+11

-119 -747.6990516 6E+05 3.125E+11

-118 -741.4158662 5E+05 3.022E+11

-117 -735.1326809 5E+05 2.921E+11

-116 -728.8494956 5E+05 2.822E+11

-115 -722.5663103 5E+05 2.726E+11

-114 -716.283125 5E+05 2.632E+11

-113 -709.9999397 5E+05 2.541E+11

-112 -703.7167544 5E+05 2.452E+11

-111 -697.4335691 5E+05 2.366E+11-110 -691.1503838 5E+05 2.282E+11

-109 -684.8671985 5E+05 2.2E+11

-108 -678.5840132 5E+05 2.12E+11

-107 -672.3008279 5E+05 2.043E+11

-106 -666.0176426 4E+05 1.968E+11

-105 -659.7344573 4E+05 1.894E+11

-104 -653.4512719 4E+05 1.823E+11

-103 -647.1680866 4E+05 1.754E+11

-102 -640.8849013 4E+05 1.687E+11-101 -634.601716 4E+05 1.622E+11

-100 -628.3185307 4E+05 1.559E+11

-99.5 -625.1769381 4E+05 1.528E+11

-99 -622.0353454 4E+05 1.497E+11

-98.5 -618.8937528 4E+05 1.467E+11

-98 -615.7521601 4E+05 1.438E+11

-97.5 -612.6105675 4E+05 1.408E+11

-97 -609.4689748 4E+05 1.38E+11

-96.5 -606.3273821 4E+05 1.352E+11

-96 -603.1857895 4E+05 1.324E+11

-95.5 -600.0441968 4E+05 1.296E+11

-95 -596.9026042 4E+05 1.269E+11

-94.5 -593.7610115 4E+05 1.243E+11

-94 -590.6194189 3E+05 1.217E+11


12/48

-85.5 -537.2123438 3E+05 8.329E+10

-85 -534.0707511 3E+05 8.136E+10

-84.5 -530.9291585 3E+05 7.946E+10

-84 -527.7875658 3E+05 7.76E+10

-83.5 -524.6459731 3E+05 7.576E+10

-83 -521.5043805 3E+05 7.397E+10

-82.5 -518.3627878 3E+05 7.22E+10

-82 -515.2211952 3E+05 7.047E+10

-81.5 -512.0796025 3E+05 6.876E+10

-81 -508.9380099 3E+05 6.709E+10

-80.5 -505.7964172 3E+05 6.545E+10

-80 -502.6548246 3E+05 6.384E+10-79.5 -499.5132319 2E+05 6.226E+10

-79 -496.3716393 2E+05 6.071E+10

-78.5 -493.2300466 2E+05 5.918E+10

-78 -490.088454 2E+05 5.769E+10

-77.5 -486.9468613 2E+05 5.622E+10

-77 -483.8052687 2E+05 5.479E+10

-76.5 -480.663676 2E+05 5.338E+10

-76 -477.5220833 2E+05 5.2E+10

-75.5 -474.3804907 2E+05 5.064E+10-75 -471.238898 2E+05 4.931E+10

-74.5 -468.0973054 2E+05 4.801E+10

-74 -464.9557127 2E+05 4.674E+10

-73.5 -461.8141201 2E+05 4.549E+10

-73 -458.6725274 2E+05 4.426E+10

-72.5 -455.5309348 2E+05 4.306E+10

-72 -452.3893421 2E+05 4.188E+10

-71.5 -449.2477495 2E+05 4.073E+10

-71 -446.1061568 2E+05 3.961E+10

-70.5 -442.9645642 2E+05 3.85E+10

-70 -439.8229715 2E+05 3.742E+10

-69.5 -436.6813788 2E+05 3.636E+10

-69 -433.5397862 2E+05 3.533E+10

-68.5 -430.3981935 2E+05 3.431E+10


13/48

-60 -376.9911184 1E+05 2.02E+10

-59.5 -373.8495258 1E+05 1.953E+10

-59 -370.7079331 1E+05 1.889E+10

-58.5 -367.5663405 1E+05 1.825E+10

-58 -364.4247478 1E+05 1.764E+10

-57.5 -361.2831552 1E+05 1.704E+10

-57 -358.1415625 1E+05 1.645E+10

-56.5 -354.9999699 1E+05 1.588E+10

-56 -351.8583772 1E+05 1.533E+10

-55.5 -348.7167845 1E+05 1.479E+10

-55 -345.5751919 1E+05 1.426E+10

-54.5 -342.4335992 1E+05 1.375E+10-54 -339.2920066 1E+05 1.325E+10

-53.5 -336.1504139 1E+05 1.277E+10

-53 -333.0088213 1E+05 1.23E+10

-52.5 -329.8672286 1E+05 1.184E+10

-52 -326.725636 1E+05 1.14E+10

-51.5 -323.5840433 1E+05 1.096E+10

-51 -320.4424507 1E+05 1.054E+10

-50.5 -317.300858 1E+05 1.014E+10

-50 -314.1592654 98696 9.741E+09-49.5 -311.0176727 96732 9.357E+09

-49 -307.8760801 94788 8.985E+09

-48.5 -304.7344874 92863 8.624E+09

-48 -301.5928947 90958 8.273E+09

-47.5 -298.4513021 89073 7.934E+09

-47 -295.3097094 87208 7.605E+09

-46.5 -292.1681168 85362 7.287E+09

-46 -289.0265241 83536 6.978E+09

-45.5 -285.8849315 81730 6.68E+09

-45 -282.7433388 79944 6.391E+09

-44.5 -279.6017462 78177 6.112E+09

-44 -276.4601535 76430 5.842E+09

-43.5 -273.3185609 74703 5.581E+09

-43 -270.1769682 72996 5.328E+09


14/48

-34.5 -216.7698931 46989 2.208E+09

-34 -213.6283004 45637 2.083E+09

-33.5 -210.4867078 44305 1.963E+09

-33 -207.3451151 42992 1.848E+09

-32.5 -204.2035225 41699 1.739E+09

-32 -201.0619298 40426 1.634E+09

-31.5 -197.9203372 39172 1.534E+09

-31 -194.7787445 37939 1.439E+09

-30.5 -191.6371519 36725 1.349E+09

-30 -188.4955592 35531 1.262E+09

-29.5 -185.3539666 34356 1.18E+09

-29 -182.2123739 33201 1.102E+09-28.5 -179.0707813 32066 1.028E+09

-28 -175.9291886 30951 957969316

-27.5 -172.7875959 29856 891354064

-27 -169.6460033 28780 828274956

-26.5 -166.5044106 27724 768604582

-26 -163.362818 26687 712217869

-25.5 -160.2212253 25671 658992080

-25 -157.0796327 24674 608806819

-24.5 -153.93804 23697 561544025-24 -150.7964474 22740 517087977

-23.5 -147.6548547 21802 475325291

-23 -144.5132621 20884 436144919

-22.5 -141.3716694 19986 399438154

-22 -138.2300768 19108 365098624

-21.5 -135.0884841 18249 333022298

-21 -131.9468915 17410 303107479

-20.5 -128.8052988 16591 275254810

-20 -125.6637061 15791 249367273

-19.5 -122.5221135 15012 225350185

-19 -119.3805208 14252 203111202

-18.5 -116.2389282 13511 182560319

-18 -113.0973355 12791 163609868

-17.5 -109.9557429 12090 146174517


15/48

-9 -56.54866776 3198 10225617

-8.5 -53.40707511 2852 8135704.7

-8 -50.26548246 2527 6383802.2

-7.5 -47.1238898 2221 4931335.2

-7 -43.98229715 1934 3742067.6

-6.5 -40.8407045 1668 2782101

-6 -37.69911184 1421 2019874.9

-5.5 -34.55751919 1194 1426166.5

-5 -31.41592654 987 974090.91

-4.5 -28.27433388 799.4 639101.05

-4 -25.13274123 631.7 398987.64

-3.5 -21.99114858 483.6 233879.23-3 -18.84955592 355.3 126242.18

-2.5 -15.70796327 246.7 60880.682

-2 -12.56637061 157.9 24936.727

-1.5 -9.424777961 88.83 7890.1364

-1 -6.283185307 39.48 1558.5455

-0.5 -3.141592654 9.87 97.409091

0 0 0 0

0.5 3.141592654 9.87 97.409091

1 6.283185307 39.48 1558.54551.5 9.424777961 88.83 7890.1364

2 12.56637061 157.9 24936.727

2.5 15.70796327 246.7 60880.682

3 18.84955592 355.3 126242.18

3.5 21.99114858 483.6 233879.23

4 25.13274123 631.7 398987.64

4.5 28.27433388 799.4 639101.05

5 31.41592654 987 974090.91

5.5 34.55751919 1194 1426166.5

6 37.69911184 1421 2019874.9

6.5 40.8407045 1668 2782101

7 43.98229715 1934 3742067.6

7.5 47.1238898 2221 4931335.2

8 50.26548246 2527 6383802.2


16/48

16.5 103.6725576 10748 115519487

17 106.8141502 11409 130171275

17.5 109.9557429 12090 146174517

18 113.0973355 12791 163609868

18.5 116.2389282 13511 182560319

19 119.3805208 14252 203111202

19.5 122.5221135 15012 225350185

20 125.6637061 15791 249367273

20.5 128.8052988 16591 275254810

21 131.9468915 17410 303107479

21.5 135.0884841 18249 333022298

22 138.2300768 19108 36509862422.5 141.3716694 19986 399438154

23 144.5132621 20884 436144919

23.5 147.6548547 21802 475325291

24 150.7964474 22740 517087977

24.5 153.93804 23697 561544025

25 157.0796327 24674 608806819

25.5 160.2212253 25671 658992080

26 163.362818 26687 712217869

26.5 166.5044106 27724 76860458227 169.6460033 28780 828274956

27.5 172.7875959 29856 891354064

28 175.9291886 30951 957969316

28.5 179.0707813 32066 1.028E+09

29 182.2123739 33201 1.102E+09

29.5 185.3539666 34356 1.18E+09

30 188.4955592 35531 1.262E+09

30.5 191.6371519 36725 1.349E+09

31 194.7787445 37939 1.439E+09

31.5 197.9203372 39172 1.534E+09

32 201.0619298 40426 1.634E+09

32.5 204.2035225 41699 1.739E+09

33 207.3451151 42992 1.848E+09

33.5 210.4867078 44305 1.963E+09


17/48

42 263.8937829 69640 4.85E+09

42.5 267.0353756 71308 5.085E+09

43 270.1769682 72996 5.328E+09

43.5 273.3185609 74703 5.581E+09

44 276.4601535 76430 5.842E+09

44.5 279.6017462 78177 6.112E+09

45 282.7433388 79944 6.391E+09

45.5 285.8849315 81730 6.68E+09

46 289.0265241 83536 6.978E+09

46.5 292.1681168 85362 7.287E+09

47 295.3097094 87208 7.605E+09

47.5 298.4513021 89073 7.934E+0948 301.5928947 90958 8.273E+09

48.5 304.7344874 92863 8.624E+09

49 307.8760801 94788 8.985E+09

49.5 311.0176727 96732 9.357E+09

50 314.1592654 98696 9.741E+09

50.5 317.300858 1E+05 1.014E+10

51 320.4424507 1E+05 1.054E+10

51.5 323.5840433 1E+05 1.096E+10

52 326.725636 1E+05 1.14E+1052.5 329.8672286 1E+05 1.184E+10

53 333.0088213 1E+05 1.23E+10

53.5 336.1504139 1E+05 1.277E+10

54 339.2920066 1E+05 1.325E+10

54.5 342.4335992 1E+05 1.375E+10

55 345.5751919 1E+05 1.426E+10

55.5 348.7167845 1E+05 1.479E+10

56 351.8583772 1E+05 1.533E+10

56.5 354.9999699 1E+05 1.588E+1057 358.1415625 1E+05 1.645E+10

57.5 361.2831552 1E+05 1.704E+10

58 364.4247478 1E+05 1.764E+10

58.5 367.5663405 1E+05 1.825E+10

59 370.7079331 1E+05 1.889E+10


18/48

67.5 424.1150082 2E+05 3.235E+10

68 427.2566009 2E+05 3.332E+10

68.5 430.3981935 2E+05 3.431E+10

69 433.5397862 2E+05 3.533E+10

69.5 436.6813788 2E+05 3.636E+10

70 439.8229715 2E+05 3.742E+10

70.5 442.9645642 2E+05 3.85E+10

71 446.1061568 2E+05 3.961E+10

71.5 449.2477495 2E+05 4.073E+10

72 452.3893421 2E+05 4.188E+10

72.5 455.5309348 2E+05 4.306E+10

73 458.6725274 2E+05 4.426E+1073.5 461.8141201 2E+05 4.549E+10

74 464.9557127 2E+05 4.674E+10

74.5 468.0973054 2E+05 4.801E+10

75 471.238898 2E+05 4.931E+10

75.5 474.3804907 2E+05 5.064E+10

76 477.5220833 2E+05 5.2E+10

76.5 480.663676 2E+05 5.338E+10

77 483.8052687 2E+05 5.479E+10

77.5 486.9468613 2E+05 5.622E+1078 490.088454 2E+05 5.769E+10

78.5 493.2300466 2E+05 5.918E+10

79 496.3716393 2E+05 6.071E+10

79.5 499.5132319 2E+05 6.226E+10

80 502.6548246 3E+05 6.384E+10

80.5 505.7964172 3E+05 6.545E+10

81 508.9380099 3E+05 6.709E+10

81.5 512.0796025 3E+05 6.876E+10

82 515.2211952 3E+05 7.047E+1082.5 518.3627878 3E+05 7.22E+10

83 521.5043805 3E+05 7.397E+10

83.5 524.6459731 3E+05 7.576E+10

84 527.7875658 3E+05 7.76E+10

84.5 530.9291585 3E+05 7.946E+10


19/48

93 584.3362336 3E+05 1.166E+11

93.5 587.4778262 3E+05 1.191E+11

94 590.6194189 3E+05 1.217E+11

94.5 593.7610115 4E+05 1.243E+11

95 596.9026042 4E+05 1.269E+11

95.5 600.0441968 4E+05 1.296E+11

96 603.1857895 4E+05 1.324E+11

96.5 606.3273821 4E+05 1.352E+11

97 609.4689748 4E+05 1.38E+11

97.5 612.6105675 4E+05 1.408E+11

98 615.7521601 4E+05 1.438E+11

98.5 618.8937528 4E+05 1.467E+1199 622.0353454 4E+05 1.497E+11

99.5 625.1769381 4E+05 1.528E+11

100 628.3185307 4E+05 1.559E+11

101 634.601716 4E+05 1.622E+11

102 640.8849013 4E+05 1.687E+11

103 647.1680866 4E+05 1.754E+11

104 653.4512719 4E+05 1.823E+11

105 659.7344573 4E+05 1.894E+11

106 666.0176426 4E+05 1.968E+11107 672.3008279 5E+05 2.043E+11

108 678.5840132 5E+05 2.12E+11

109 684.8671985 5E+05 2.2E+11

110 691.1503838 5E+05 2.282E+11

111 697.4335691 5E+05 2.366E+11

112 703.7167544 5E+05 2.452E+11

113 709.9999397 5E+05 2.541E+11

114 716.283125 5E+05 2.632E+11

115 722.5663103 5E+05 2.726E+11116 728.8494956 5E+05 2.822E+11

117 735.1326809 5E+05 2.921E+11

118 741.4158662 5E+05 3.022E+11

119 747.6990516 6E+05 3.125E+11

120 753.9822369 6E+05 3.232E+11


20/48

137 860.7963871 7E+05 5.49E+11

138 867.0795724 8E+05 5.652E+11

139 873.3627577 8E+05 5.818E+11

140 879.645943 8E+05 5.987E+11141 885.9291283 8E+05 6.16E+11

142 892.2123136 8E+05 6.337E+11

143 898.4954989 8E+05 6.517E+11

144 904.7786842 8E+05 6.701E+11

145 911.0618695 8E+05 6.89E+11

146 917.3450548 8E+05 7.082E+11

147 923.6282402 9E+05 7.278E+11

148 929.9114255 9E+05 7.478E+11149 936.1946108 9E+05 7.682E+11

150 942.4777961 9E+05 7.89E+11

151 948.7609814 9E+05 8.103E+11

152 955.0441667 9E+05 8.319E+11

153 961.327352 9E+05 8.541E+11

154 967.6105373 9E+05 8.766E+11

155 973.8937226 9E+05 8.996E+11

156 980.1769079 1E+06 9.23E+11

157 986.4600932 1E+06 9.469E+11158 992.7432785 1E+06 9.713E+11

159 999.0264638 1E+06 9.961E+11

160 1005.309649 1E+06 1.021E+12

161 1011.592834 1E+06 1.047E+12

162 1017.87602 1E+06 1.073E+12

163 1024.159205 1E+06 1.1E+12

164 1030.44239 1E+06 1.127E+12

165 1036.725576 1E+06 1.155E+12

166 1043.008761 1E+06 1.183E+12167 1049.291946 1E+06 1.212E+12

168 1055.575132 1E+06 1.242E+12

169 1061.858317 1E+06 1.271E+12

170 1068.141502 1E+06 1.302E+12

171 1074.424688 1E+06 1.333E+12


21/48

188 1181.238838 1E+06 1.947E+12

189 1187.522023 1E+06 1.989E+12

190 1193.805208 1E+06 2.031E+12

191 1200.088394 1E+06 2.074E+12192 1206.371579 1E+06 2.118E+12

193 1212.654764 1E+06 2.162E+12

194 1218.93795 1E+06 2.208E+12

195 1225.221135 2E+06 2.254E+12

196 1231.50432 2E+06 2.3E+12

197 1237.787506 2E+06 2.347E+12

198 1244.070691 2E+06 2.395E+12

199 1250.353876 2E+06 2.444E+12

200 1256.637061 2E+06 2.494E+12

201 1262.920247 2E+06 2.544E+12

202 1269.203432 2E+06 2.595E+12

203 1275.486617 2E+06 2.647E+12

204 1281.769803 2E+06 2.699E+12

205 1288.052988 2E+06 2.753E+12

206 1294.336173 2E+06 2.807E+12

207 1300.619359 2E+06 2.862E+12

208 1306.902544 2E+06 2.917E+12209 1313.185729 2E+06 2.974E+12

210 1319.468915 2E+06 3.031E+12

211 1325.7521 2E+06 3.089E+12

212 1332.035285 2E+06 3.148E+12

213 1338.31847 2E+06 3.208E+12

214 1344.601656 2E+06 3.269E+12

215 1350.884841 2E+06 3.33E+12

216 1357.168026 2E+06 3.393E+12

217 1363.451212 2E+06 3.456E+12218 1369.734397 2E+06 3.52E+12

219 1376.017582 2E+06 3.585E+12

220 1382.300768 2E+06 3.651E+12

221 1388.583953 2E+06 3.718E+12

222 1394.867138 2E+06 3.786E+12


22/48

239 1501.681288 2E+06 5.085E+12

240 1507.964474 2E+06 5.171E+12

241 1514.247659 2E+06 5.258E+12

242 1520.530844 2E+06 5.345E+12243 1526.81403 2E+06 5.434E+12

244 1533.097215 2E+06 5.524E+12

245 1539.3804 2E+06 5.615E+12

246 1545.663586 2E+06 5.708E+12

247 1551.946771 2E+06 5.801E+12

248 1558.229956 2E+06 5.896E+12

249 1564.513141 2E+06 5.991E+12

250 1570.796327 2E+06 6.088E+12

251 1577.079512 2E+06 6.186E+12

252 1583.362697 3E+06 6.285E+12

253 1589.645883 3E+06 6.386E+12

254 1595.929068 3E+06 6.487E+12

255 1602.212253 3E+06 6.59E+12

256 1608.495439 3E+06 6.694E+12

257 1614.778624 3E+06 6.799E+12

258 1621.061809 3E+06 6.906E+12

259 1627.344995 3E+06 7.013E+12260 1633.62818 3E+06 7.122E+12

261 1639.911365 3E+06 7.232E+12

262 1646.19455 3E+06 7.344E+12

263 1652.477736 3E+06 7.457E+12

264 1658.760921 3E+06 7.571E+12

265 1665.044106 3E+06 7.686E+12

266 1671.327292 3E+06 7.803E+12

267 1677.610477 3E+06 7.921E+12

268 1683.893662 3E+06 8.04E+12269 1690.176848 3E+06 8.161E+12

270 1696.460033 3E+06 8.283E+12

271 1702.743218 3E+06 8.406E+12

272 1709.026404 3E+06 8.531E+12

273 1715.309589 3E+06 8.657E+12


23/48

290 1822.123739 3E+06 1.102E+13

291 1828.406924 3E+06 1.118E+13

292 1834.69011 3E+06 1.133E+13

293 1840.973295 3E+06 1.149E+13294 1847.25648 3E+06 1.164E+13

295 1853.539666 3E+06 1.18E+13

296 1859.822851 3E+06 1.196E+13

297 1866.106036 3E+06 1.213E+13

298 1872.389222 4E+06 1.229E+13

299 1878.672407 4E+06 1.246E+13

300 1884.955592 4E+06 1.262E+13

301 1891.238777 4E+06 1.279E+13

302 1897.521963 4E+06 1.296E+13

303 1903.805148 4E+06 1.314E+13

304 1910.088333 4E+06 1.331E+13

305 1916.371519 4E+06 1.349E+13

306 1922.654704 4E+06 1.366E+13

307 1928.937889 4E+06 1.384E+13

308 1935.221075 4E+06 1.403E+13

309 1941.50426 4E+06 1.421E+13

310 1947.787445 4E+06 1.439E+13311 1954.070631 4E+06 1.458E+13

312 1960.353816 4E+06 1.477E+13

313 1966.637001 4E+06 1.496E+13

314 1972.920186 4E+06 1.515E+13

315 1979.203372 4E+06 1.534E+13

316 1985.486557 4E+06 1.554E+13

317 1991.769742 4E+06 1.574E+13

318 1998.052928 4E+06 1.594E+13

319 2004.336113 4E+06 1.614E+13320 2010.619298 4E+06 1.634E+13

321 2016.902484 4E+06 1.655E+13

322 2023.185669 4E+06 1.675E+13

323 2029.468854 4E+06 1.696E+13

324 2035.75204 4E+06 1.718E+13


24/48

341 2142.56619 5E+06 2.107E+13

342 2148.849375 5E+06 2.132E+13

343 2155.13256 5E+06 2.157E+13

344 2161.415746 5E+06 2.182E+13345 2167.698931 5E+06 2.208E+13

346 2173.982116 5E+06 2.234E+13

347 2180.265302 5E+06 2.26E+13

348 2186.548487 5E+06 2.286E+13

349 2192.831672 5E+06 2.312E+13

350 2199.114858 5E+06 2.339E+13

351 2205.398043 5E+06 2.366E+13

352 2211.681228 5E+06 2.393E+13

353 2217.964413 5E+06 2.42E+13

354 2224.247599 5E+06 2.448E+13

355 2230.530784 5E+06 2.475E+13

356 2236.813969 5E+06 2.503E+13

357 2243.097155 5E+06 2.532E+13

358 2249.38034 5E+06 2.56E+13

359 2255.663525 5E+06 2.589E+13

360 2261.946711 5E+06 2.618E+13

361 2268.229896 5E+06 2.647E+13362 2274.513081 5E+06 2.676E+13

363 2280.796267 5E+06 2.706E+13

364 2287.079452 5E+06 2.736E+13

365 2293.362637 5E+06 2.766E+13

366 2299.645822 5E+06 2.797E+13

367 2305.929008 5E+06 2.827E+13

368 2312.212193 5E+06 2.858E+13

369 2318.495378 5E+06 2.89E+13

370 2324.778564 5E+06 2.921E+13371 2331.061749 5E+06 2.953E+13

372 2337.344934 5E+06 2.985E+13

373 2343.62812 5E+06 3.017E+13

374 2349.911305 6E+06 3.049E+13

375 2356.19449 6E+06 3.082E+13


25/48

392 2463.00864 6E+06 3.68E+13

393 2469.291826 6E+06 3.718E+13

394 2475.575011 6E+06 3.756E+13

395 2481.858196 6E+06 3.794E+13396 2488.141382 6E+06 3.833E+13

397 2494.424567 6E+06 3.872E+13

398 2500.707752 6E+06 3.911E+13

399 2506.990938 6E+06 3.95E+13

400 2513.274123 6E+06 3.99E+13


26/48

7

374*A8

*40

ft^4/64

Disk^4-ID_Disk^4)/64*L_Disk*Rho*RhoFraction

sk*(OD_Disk^2-ID_Disk^2)/4*Rho*RhoFraction

b_*Loh^3 + Lbb^3*Kb_*Loh^2 + 6*Loh^2*E_*Ishaft + 6*Loh*E_*Ishaft*Lbb + 3*E_*Ishaft*Lbb^2)/(3*Lbb^

Kb_*Loh^2+2*Loh*Lbb^3*Kb_+12*Loh*E_*Ishaft+6*E_*Ishaft*Lbb)/(6*Lbb 2*E_*Ishaft*Kb_)

Kb_*Loh+Lbb^3*Kb_+6*E_*Ishaft)/(3*Lbb^2*Kb_*E_*Ishaft)

M_Disk*alpha11))/(2*PI())

a11*alpha22*Idisk - G26*M_Disk*alpha12^2*Idisk - F26*alpha22*Idisk - F26*M_Disk*alpha11 + 1

M_Disk*alpha11*alpha22 - F26*M_Disk*alpha12^2 - alpha22)

Numerator Denominat Forward

Speed=Fr

eq

line Reverse

#VALUE! -1.44142 #VALUE! -400 #VALUE!

1723.425 -1.43036 -191.765 -399 191.76461705.519 -1.41935 -191.244 -398 191.2442

1687.751 -1.40839 -190.724 -397 190.7237

1670.12 -1.3975 -190.203 -396 190.203

1652.625 -1.38665 -189.682 -395 189.6823

1635.267 -1.37587 -189.161 -394 189.1614


27/48

1360.3 -1.20084 -180.288 -377 180.2885

1345.27 -1.19103 -179.765 -376 179.7654

1330.364 -1.18127 -179.242 -375 179.2422

1315.58 -1.17157 -178.719 -374 178.71881300.917 -1.16191 -178.195 -373 178.1953

1286.376 -1.15231 -177.672 -372 177.6717

1271.954 -1.14276 -177.148 -371 177.148

1257.653 -1.13326 -176.624 -370 176.6241

1243.47 -1.12382 -176.1 -369 176.1

1229.406 -1.11442 -175.576 -368 175.5758

1215.46 -1.10508 -175.052 -367 175.0515

1201.63 -1.09579 -174.527 -366 174.527

1187.917 -1.08655 -174.002 -365 174.0024

1174.32 -1.07737 -173.478 -364 173.4777

1160.838 -1.06823 -172.953 -363 172.9528

1147.47 -1.05914 -172.428 -362 172.4277

1134.217 -1.05011 -171.902 -361 171.9025

1121.076 -1.04112 -171.377 -360 171.3771

1108.048 -1.03219 -170.852 -359 170.8516

1095.133 -1.02331 -170.326 -358 170.3259

1082.328 -1.01447 -169.8 -357 169.80011069.634 -1.00569 -169.274 -356 169.2741

1057.05 -0.99696 -168.748 -355 168.7479

1044.576 -0.98828 -168.222 -354 168.2216

1032.21 -0.97964 -167.695 -353 167.6951

1019.953 -0.97106 -167.168 -352 167.1685

1007.803 -0.96253 -166.642 -351 166.6417

995.7598 -0.95404 -166.115 -350 166.1147

983.8231 -0.9456 -165.588 -349 165.5875

971.9922 -0.93722 -165.06 -348 165.0602960.2663 -0.92888 -164.533 -347 164.5327

948.6449 -0.92059 -164.005 -346 164.005

937.1274 -0.91235 -163.477 -345 163.4772

925.7131 -0.90416 -162.949 -344 162.9491

914.4015 -0.89601 -162.421 -343 162.4209


28/48

737.2276 -0.76483 -153.412 -326 153.4119

727.6616 -0.75753 -152.88 -325 152.8802

718.187 -0.75028 -152.348 -324 152.3482

708.8033 -0.74307 -151.816 -323 151.8159699.5098 -0.73591 -151.283 -322 151.2835

690.3061 -0.72879 -150.751 -321 150.7508

681.1916 -0.72172 -150.218 -320 150.2179

672.1656 -0.71469 -149.685 -319 149.6847

663.2276 -0.70771 -149.151 -318 149.1514

654.3771 -0.70077 -148.618 -317 148.6178

645.6135 -0.69388 -148.084 -316 148.0839

636.9362 -0.68703 -147.55 -315 147.5498

628.3447 -0.68023 -147.015 -314 147.0155

619.8384 -0.67347 -146.481 -313 146.4809

611.4168 -0.66675 -145.946 -312 145.9461

603.0793 -0.66008 -145.411 -311 145.411

594.8254 -0.65345 -144.876 -310 144.8756

586.6545 -0.64687 -144.34 -309 144.34

578.5661 -0.64033 -143.804 -308 143.8042

570.5596 -0.63383 -143.268 -307 143.2681

562.6345 -0.62737 -142.732 -306 142.7317554.7903 -0.62096 -142.195 -305 142.195

547.0263 -0.61459 -141.658 -304 141.6581

539.3422 -0.60827 -141.121 -303 141.1209

531.7372 -0.60198 -140.583 -302 140.5834

524.211 -0.59574 -140.046 -301 140.0456

516.763 -0.58954 -139.508 -300 139.5075

509.3925 -0.58338 -138.969 -299 138.9692

502.0992 -0.57727 -138.431 -298 138.4305 x

494.8825 -0.5712 -137.892 -297 137.8916487.7419 -0.56516 -137.352 -296 137.3523

480.6768 -0.55917 -136.813 -295 136.8128

473.6867 -0.55322 -136.273 -294 136.2729

466.771 -0.54732 -135.733 -293 135.7327

459.9294 -0.54145 -135.192 -292 135.1923


29/48

354.4469 -0.44789 -125.952 -275 125.9517

348.8503 -0.44274 -125.405 -274 125.4048

343.3182 -0.43763 -124.857 -273 124.8575

337.85 -0.43255 -124.31 -272 124.3098332.4454 -0.42752 -123.762 -271 123.7616

327.1038 -0.42252 -123.213 -270 123.2131

321.8248 -0.41756 -122.664 -269 122.6641

316.6078 -0.41264 -122.115 -268 122.1147

311.4524 -0.40776 -121.565 -267 121.5649

306.3582 -0.40291 -121.015 -266 121.0146

301.3246 -0.39811 -120.464 -265 120.4639

296.3512 -0.39333 -119.913 -264 119.9127

291.4376 -0.3886 -119.361 -263 119.3611

286.5832 -0.3839 -118.809 -262 118.809

281.7876 -0.37924 -118.256 -261 118.2564

277.0503 -0.37462 -117.703 -260 117.7033

272.3709 -0.37003 -117.15 -259 117.1498

267.7489 -0.36548 -116.596 -258 116.5957

263.1839 -0.36097 -116.041 -257 116.0412

258.6754 -0.35649 -115.486 -256 115.4861

254.2229 -0.35205 -114.931 -255 114.9305249.8261 -0.34764 -114.374 -254 114.3744

245.4843 -0.34327 -113.818 -253 113.8178

241.1974 -0.33893 -113.261 -252 113.2606

236.9646 -0.33463 -112.703 -251 112.7029

232.7857 -0.33037 -112.145 -250 112.1446

228.6601 -0.32614 -111.586 -249 111.5857

224.5875 -0.32194 -111.026 -248 111.0263

220.5674 -0.31778 -110.466 -247 110.4663

216.5994 -0.31366 -109.906 -246 109.9056212.6829 -0.30957 -109.344 -245 109.3444

208.8177 -0.30551 -108.783 -244 108.7826

205.0032 -0.30149 -108.22 -243 108.2202

201.2391 -0.2975 -107.657 -242 107.6571

197.5248 -0.29355 -107.093 -241 107.0934


30/48

141.6114 -0.2314 -97.4008 -224 97.40079

138.7242 -0.22803 -96.8235 -223 96.82347

135.8791 -0.2247 -96.2453 -222 96.24527

133.0757 -0.22139 -95.6662 -221 95.66617130.3137 -0.21812 -95.0861 -220 95.08614

127.5926 -0.21488 -94.5052 -219 94.50517

124.912 -0.21167 -93.9233 -218 93.92325

122.2716 -0.20849 -93.3404 -217 93.34036

119.671 -0.20534 -92.7565 -216 92.75647

117.1097 -0.20222 -92.1716 -215 92.17157

114.5875 -0.19913 -91.5856 -214 91.58564

112.1039 -0.19607 -90.9987 -213 90.99866

109.6586 -0.19304 -90.4106 -212 90.41061

107.2512 -0.19004 -89.8215 -211 89.82147

104.8812 -0.18707 -89.2312 -210 89.23121

102.5484 -0.18413 -88.6398 -209 88.63981

100.2524 -0.18122 -88.0473 -208 88.04725

97.99278 -0.17834 -87.4535 -207 87.45351

95.76919 -0.17548 -86.8586 -206 86.85856

93.58127 -0.17266 -86.2624 -205 86.26237

91.42865 -0.16986 -85.6649 -204 85.6649389.31099 -0.1671 -85.0662 -203 85.0662

87.22791 -0.16436 -84.4662 -202 84.46615

85.17907 -0.16165 -83.8648 -201 83.86476

83.16409 -0.15897 -83.262 -200 83.26201

81.18264 -0.15631 -82.6578 -199 82.65785

79.23436 -0.15369 -82.0523 -198 82.05225

77.3189 -0.15109 -81.4452 -197 81.4452

75.43591 -0.14852 -80.8366 -196 80.83664

73.58504 -0.14598 -80.2266 -195 80.2265671.76595 -0.14346 -79.6149 -194 79.6149

69.97829 -0.14098 -79.0017 -193 79.00165

68.22173 -0.13852 -78.3868 -192 78.38676

66.49592 -0.13608 -77.7702 -191 77.77018

64.80053 -0.13368 -77.1519 -190 77.15189


31/48

40.3136 -0.09673 -66.3319 -173 66.3319

39.10992 -0.09478 -65.674 -172 65.67399

37.93057 -0.09286 -65.0133 -171 65.01328

36.77525 -0.09096 -64.3497 -170 64.3496635.64365 -0.08908 -63.6831 -169 63.68306

34.53548 -0.08723 -63.0134 -168 63.01339

33.45044 -0.0854 -62.3406 -167 62.34055

32.38824 -0.08359 -61.6645 -166 61.66445

31.34857 -0.08181 -60.985 -165 60.98498

30.33116 -0.08005 -60.302 -164 60.30205

29.3357 -0.07832 -59.6155 -163 59.61553

28.36191 -0.0766 -58.9253 -162 58.92531

27.40951 -0.07491 -58.2313 -161 58.23127

26.4782 -0.07325 -57.5333 -160 57.53329

25.56771 -0.0716 -56.8312 -159 56.83123

24.67776 -0.06998 -56.125 -158 56.12496

23.80805 -0.06838 -55.4143 -157 55.41432

22.95832 -0.0668 -54.6992 -156 54.69917

22.1283 -0.06524 -53.9793 -155 53.97934

21.31769 -0.06371 -53.2547 -154 53.25467

20.52624 -0.0622 -52.525 -153 52.5249819.75367 -0.0607 -51.7901 -152 51.79009

18.99971 -0.05923 -51.0498 -151 51.04979

18.2641 -0.05779 -50.3039 -150 50.30389

17.54657 -0.05636 -49.5522 -149 49.55216

16.84685 -0.05495 -48.7944 -148 48.79438

16.16469 -0.05356 -48.0303 -147 48.0303

15.49982 -0.0522 -47.2597 -146 47.25967

14.85198 -0.05085 -46.4822 -145 46.48222

14.22092 -0.04953 -45.6977 -144 45.6976713.60639 -0.04822 -44.9057 -143 44.90571

13.00812 -0.04694 -44.106 -142 44.10602

12.42587 -0.04567 -43.2983 -141 43.29826

11.85939 -0.04443 -42.4821 -140 42.48206

11.30844 -0.04321 -41.6571 -139 41.65705


32/48

4.085067 -0.02525 -25.7479 -122 25.74786

3.77309 -0.02436 -24.6556 -121 24.65557

3.472258 -0.02348 -23.5385 -120 23.53847

3.182358 -0.02262 -22.3948 -119 22.394852.90318 -0.02177 -21.2228 -118 21.2228

2.634513 -0.02094 -20.0202 -117 20.02023

2.376151 -0.02013 -18.7849 -116 18.78485

2.127888 -0.01934 -17.5141 -115 17.5141

1.889521 -0.01856 -16.2052 -114 16.20515

1.660847 -0.01779 -14.8549 -113 14.85487

1.441666 -0.01705 -13.4597 -112 13.45975

1.231779 -0.01632 -12.0159 -111 12.01585

1.03099 -0.0156 -10.5188 -110 10.51878

0.839103 -0.0149 -8.96357 -109 8.963575

0.655926 -0.01421 -7.34461 -108 7.344609

0.481267 -0.01354 -5.65551 -107 5.655508

0.314936 -0.01289 -3.88899 -106 3.888994

0.156745 -0.01225 -2.03673 -105 2.036731

0.006508 -0.01162 -0.08912 -104 0.08912

-0.13596 -0.01101 1.964951 -103 -5

-0.27084 -0.01042 4.138417 -102 -5-0.39831 -0.00983 6.446427 -101 -5

-0.51856 -0.00927 8.90684 -100 -5

-0.57603 -0.00899 10.20067 -99.5 -5

-0.63176 -0.00871 11.54086 -99 -5

-0.68577 -0.00844 12.93072 -98.5 -5

-0.73808 -0.00817 14.37388 -98 -5

-0.78872 -0.00791 15.87434 -97.5 -5

-0.8377 -0.00765 17.43652 -97 -5

-0.88506 -0.00739 19.0653 -96.5 -5-0.9308 -0.00713 20.76611 -96 -5

-0.97495 -0.00688 22.54497 -95.5 -5

-1.01754 -0.00663 24.4086 -95 -5

-1.05857 -0.00639 26.36454 -94.5 -5

-1.09808 -0.00615 28.42123 -94 -5


33/48

-1.55594 -0.00254 97.50494 -85.5 -5

-1.57143 -0.00236 106.1875 -85 -5

-1.58576 -0.00217 116.1017 -84.5 -5

-1.59896 -0.002 127.5417 -84 -5-1.61105 -0.00182 140.9035 -83.5 -5

-1.62205 -0.00165 156.7333 -83 -5

-1.63197 -0.00148 175.8061 -82.5 -5

-1.64083 -0.00131 199.2593 -82 -5

-1.64865 -0.00115 228.8331 -81.5 -5

-1.65545 -0.00099 267.33 -81 -5

-1.66124 -0.00083 319.5725 -80.5 -5

-1.66605 -0.00067 394.6223 -80 -5

-1.6699 -0.00052 511.7505 -79.5 -5

-1.67279 -0.00037 720.4535 -79 -5

-1.67474 -0.00022 1197.935 -78.5 -5

-1.67579 -7.8E-05 3409.415 -78 -5

-1.67593 6.33E-05 -4213.15 -77.5 4213.149

-1.67519 0.000202 -1319.06 -77 1319.057

-1.67359 0.000338 -787.493 -76.5 787.4926

-1.67114 0.000472 -563.896 -76 563.8964

-1.66786 0.000602 -440.634 -75.5 440.6337-1.66376 0.000731 -362.471 -75 362.4711

-1.65887 0.000856 -308.43 -74.5 308.4301

-1.6532 0.000979 -268.796 -74 268.7963

-1.64676 0.001099 -238.454 -73.5 238.4539

-1.63958 0.001217 -214.453 -73 214.4526

-1.63166 0.001332 -194.972 -72.5 194.9716

-1.62303 0.001444 -178.826 -72 178.826

-1.6137 0.001555 -165.212 -71.5 165.2116

-1.60368 0.001662 -153.563 -71 153.5634-1.593 0.001767 -143.473 -70.5 143.4729

-1.58166 0.00187 -134.637 -70 134.6372

-1.56968 0.00197 -126.827 -69.5 126.8271

-1.55708 0.002067 -119.866 -69 119.8659

-1.54388 0.002163 -113.615 -68.5 113.6153


34/48

-1.24086 0.003428 -57.6063 -60 57.60629

-1.21922 0.003483 -55.7137 -59.5 55.71375

-1.19724 0.003535 -53.8963 -59 53.89632

-1.17494 0.003586 -52.1479 -58.5 52.14786-1.15233 0.003634 -50.4628 -58 50.46281

-1.12942 0.003681 -48.8362 -57.5 48.83619

-1.10623 0.003725 -47.2634 -57 47.26345

-1.08276 0.003767 -45.7405 -56.5 45.74049

-1.05903 0.003808 -44.2636 -56 44.26357

-1.03506 0.003846 -42.8293 -55.5 42.82926

-1.01084 0.003883 -41.4344 -55 41.43445

-0.98641 0.003917 -40.0763 -54.5 40.07625

-0.96176 0.00395 -38.752 -54 38.75204-0.93691 0.003981 -37.4594 -53.5 37.45938

-0.91187 0.00401 -36.196 -53 36.19603

-0.88666 0.004037 -34.9599 -52.5 34.95989

-0.86128 0.004062 -33.7491 -52 33.74905

-0.83576 0.004085 -32.5617 -51.5 32.5617

-0.81008 0.004107 -31.3962 -51 31.39617

-0.78428 0.004126 -30.2509 -50.5 30.2509

-0.75836 0.004144 -29.1244 -50 29.12441-0.73234 0.00416 -28.0153 -49.5 28.01532

-0.70621 0.004175 -26.9224 -49 26.92235

-0.68 0.004188 -25.8443 -48.5 25.84427

-0.65371 0.004199 -24.7799 -48 24.77991

-0.62736 0.004208 -23.7282 -47.5 23.7282

-0.60096 0.004216 -22.6881 -47 22.68807

-0.57451 0.004222 -21.6585 -46.5 21.65855

-0.54803 0.004226 -20.6387 -46 20.63867

-0.52152 0.004229 -19.6275 -45.5 19.62754-0.495 0.00423 -18.6243 -45 18.62428

-0.46848 0.00423 -17.628 -44.5 17.62804

-0.44197 0.004228 -16.638 -44 16.63802

-0.41547 0.004224 -15.6534 -43.5 15.65343

-0.389 0.004219 -14.6735 -43 14.67351


35/48

0.048212 0.003917 1.958872 -34.5 -5

0.072689 0.003888 2.975799 -34 -5

0.096977 0.003857 4.001743 -33.5 -5

0.121069 0.003825 5.03755 -33 -50.144958 0.003792 6.084096 -32.5 -5

0.168636 0.003758 7.142293 -32 -5

0.192097 0.003722 8.213093 -31.5 -5

0.215333 0.003686 9.29749 -31 -5

0.238337 0.003649 10.39653 -30.5 -5

0.261103 0.00361 11.5113 -30 -5

0.283624 0.00357 12.64295 -29.5 -5

0.305893 0.00353 13.79272 -29 -5

0.327904 0.003488 14.96188 -28.5 -50.349651 0.003445 16.15179 -28 -5

0.371128 0.003402 17.36391 -27.5 -5

0.392327 0.003357 18.59979 -27 -5

0.413244 0.003311 19.86106 -26.5 -5

0.433872 0.003265 21.1495 -26 -5

0.454205 0.003218 22.46698 -25.5 -5

0.474239 0.003169 23.81553 -25 -5

0.493967 0.00312 25.19733 -24.5 -5

0.513383 0.00307 26.61473 -24 -5

0.532483 0.003019 28.07027 -23.5 -5

0.551261 0.002967 29.56668 -23 -5

0.569713 0.002915 31.10696 -22.5 -5

0.587832 0.002862 32.69434 -22 -5

0.605615 0.002807 34.33235 -21.5 -5

0.623056 0.002753 36.02485 -21 -5

0.640151 0.002697 37.77605 -20.5 -5

0.656895 0.002641 39.59061 -20 -50.673284 0.002584 41.4736 -19.5 -5

0.689312 0.002526 43.43067 -19 -5

0.704977 0.002468 45.46805 -18.5 -5

0.720274 0.002409 47.59263 -18 -5

0.735199 0.002349 49.8121 -17.5 -5


36/48

0.928621 0.001256 117.7153 -9 -5

0.936285 0.001188 125.4842 -8.5 -5

0.943522 0.001119 134.172 -8 -5

0.950329 0.001051 143.9626 -7.5 -50.956705 0.000982 155.0926 -7 -5

0.962648 0.000913 167.8713 -6.5 -5

0.968157 0.000843 182.7109 -6 -5

0.97323 0.000774 200.1738 -5.5 -5

0.977867 0.000704 221.0471 -5 -5

0.982065 0.000634 246.4678 -4.5 -5

0.985824 0.000564 278.1413 -4 -5

0.989143 0.000494 318.7476 -3.5 -5

0.992021 0.000424 372.7533 -3 -50.994458 0.000353 448.1983 -2.5 -5

0.996452 0.000283 561.1623 -2 -5

0.998004 0.000212 749.1644 -1.5 -5

0.999113 0.000141 1124.762 -1 -5

0.999778 7.07E-05 2250.743 -0.5 -5

1 0 #DIV/0! 0 #DIV/0!

0.999778 -7.1E-05 -2250.74 0.5 2250.743

0.999113 -0.00014 -1124.76 1 1124.762

0.998004 -0.00021 -749.164 1.5 749.1644

0.996452 -0.00028 -561.162 2 561.1623

0.994458 -0.00035 -448.198 2.5 448.1983

0.992021 -0.00042 -372.753 3 372.7533

0.989143 -0.00049 -318.748 3.5 318.7476

0.985824 -0.00056 -278.141 4 278.1413

0.982065 -0.00063 -246.468 4.5 246.4678

0.977867 -0.0007 -221.047 5 221.0471

0.97323 -0.00077 -200.174 5.5 200.17380.968157 -0.00084 -182.711 6 182.7109

0.962648 -0.00091 -167.871 6.5 167.8713

0.956705 -0.00098 -155.093 7 155.0926

0.950329 -0.00105 -143.963 7.5 143.9626

0.943522 -0.00112 -134.172 8 134.172


37/48

0.763917 -0.00223 -54.5711 16.5 54.57112

0.749748 -0.00229 -52.1351 17 52.13507

0.735199 -0.00235 -49.8121 17.5 49.8121

0.720274 -0.00241 -47.5926 18 47.592630.704977 -0.00247 -45.468 18.5 45.46805

0.689312 -0.00253 -43.4307 19 43.43067

0.673284 -0.00258 -41.4736 19.5 41.4736

0.656895 -0.00264 -39.5906 20 39.59061

0.640151 -0.0027 -37.7761 20.5 37.77605

0.623056 -0.00275 -36.0248 21 36.02485

0.605615 -0.00281 -34.3323 21.5 34.33235

0.587832 -0.00286 -32.6943 22 32.69434

0.569713 -0.00291 -31.107 22.5 31.106960.551261 -0.00297 -29.5667 23 29.56668

0.532483 -0.00302 -28.0703 23.5 28.07027

0.513383 -0.00307 -26.6147 24 26.61473

0.493967 -0.00312 -25.1973 24.5 25.19733

0.474239 -0.00317 -23.8155 25 23.81553

0.454205 -0.00322 -22.467 25.5 22.46698

0.433872 -0.00326 -21.1495 26 21.1495

0.413244 -0.00331 -19.8611 26.5 19.86106

0.392327 -0.00336 -18.5998 27 18.59979

0.371128 -0.0034 -17.3639 27.5 17.36391

0.349651 -0.00345 -16.1518 28 16.15179

0.327904 -0.00349 -14.9619 28.5 14.96188

0.305893 -0.00353 -13.7927 29 13.79272

0.283624 -0.00357 -12.643 29.5 12.64295

0.261103 -0.00361 -11.5113 30 11.5113

0.238337 -0.00365 -10.3965 30.5 10.39653

0.215333 -0.00369 -9.29749 31 9.297490.192097 -0.00372 -8.21309 31.5 8.213093

0.168636 -0.00376 -7.14229 32 7.142293

0.144958 -0.00379 -6.0841 32.5 6.084096

0.121069 -0.00383 -5.03755 33 5.03755

0.096977 -0.00386 -4.00174 33.5 4.001743


38/48

-0.33617 -0.0042 12.72468 42 -5

-0.36256 -0.00421 13.6975 42.5 -5

-0.389 -0.00422 14.67351 43 -5

-0.41547 -0.00422 15.65343 43.5 -5-0.44197 -0.00423 16.63802 44 -5

-0.46848 -0.00423 17.62804 44.5 -5

-0.495 -0.00423 18.62428 45 -5

-0.52152 -0.00423 19.62754 45.5 -5

-0.54803 -0.00423 20.63867 46 -5

-0.57451 -0.00422 21.65855 46.5 -5

-0.60096 -0.00422 22.68807 47 -5

-0.62736 -0.00421 23.7282 47.5 -5

-0.65371 -0.0042 24.77991 48 -5-0.68 -0.00419 25.84427 48.5 -5

-0.70621 -0.00417 26.92235 49 -5

-0.73234 -0.00416 28.01532 49.5 -5

-0.75836 -0.00414 29.12441 50 -5

-0.78428 -0.00413 30.2509 50.5 -5

-0.81008 -0.00411 31.39617 51 -5

-0.83576 -0.00409 32.5617 51.5 -5

-0.86128 -0.00406 33.74905 52 -5

-0.88666 -0.00404 34.95989 52.5 -5

-0.91187 -0.00401 36.19603 53 -5

-0.93691 -0.00398 37.45938 53.5 -5

-0.96176 -0.00395 38.75204 54 -5

-0.98641 -0.00392 40.07625 54.5 -5

-1.01084 -0.00388 41.43445 55 -5

-1.03506 -0.00385 42.82926 55.5 -5

-1.05903 -0.00381 44.26357 56 -5

-1.08276 -0.00377 45.74049 56.5 -5-1.10623 -0.00373 47.26345 57 -5

-1.12942 -0.00368 48.83619 57.5 -5

-1.15233 -0.00363 50.46281 58 -5

-1.17494 -0.00359 52.14786 58.5 -5

-1.19724 -0.00354 53.89632 59 -5


39/48

-1.51571 -0.00235 102.8276 67.5 -5

-1.53008 -0.00226 107.9653 68 -5

-1.54388 -0.00216 113.6153 68.5 -5

-1.55708 -0.00207 119.8659 69 -5-1.56968 -0.00197 126.8271 69.5 -5

-1.58166 -0.00187 134.6372 70 -5

-1.593 -0.00177 143.4729 70.5 -5

-1.60368 -0.00166 153.5634 71 -5

-1.6137 -0.00155 165.2116 71.5 -5

-1.62303 -0.00144 178.826 72 -5

-1.63166 -0.00133 194.9716 72.5 -5

-1.63958 -0.00122 214.4526 73 -5

-1.64676 -0.0011 238.4539 73.5 -5-1.6532 -0.00098 268.7963 74 -5

-1.65887 -0.00086 308.4301 74.5 -5

-1.66376 -0.00073 362.4711 75 -5

-1.66786 -0.0006 440.6337 75.5 -5

-1.67114 -0.00047 563.8964 76 -5

-1.67359 -0.00034 787.4926 76.5 -5

-1.67519 -0.0002 1319.057 77 -5

-1.67593 -6.3E-05 4213.149 77.5 -5

-1.67579 7.82E-05 -3409.42 78 3409.415

-1.67474 0.000223 -1197.93 78.5 1197.935

-1.67279 0.00037 -720.453 79 720.4535

-1.6699 0.000519 -511.75 79.5 511.7505

-1.66605 0.000672 -394.622 80 394.6223

-1.66124 0.000827 -319.572 80.5 319.5725

-1.65545 0.000986 -267.33 81 267.33

-1.64865 0.001147 -228.833 81.5 228.8331

-1.64083 0.001311 -199.259 82 199.2593-1.63197 0.001477 -175.806 82.5 175.8061

-1.62205 0.001647 -156.733 83 156.7333

-1.61105 0.00182 -140.904 83.5 140.9035

-1.59896 0.001995 -127.542 84 127.5417

-1.58576 0.002174 -116.102 84.5 116.1017


40/48

-1.17261 0.005677 -32.8762 93 32.87619

-1.13609 0.005911 -30.5882 93.5 30.58819

-1.09808 0.006149 -28.4212 94 28.42123

-1.05857 0.00639 -26.3645 94.5 26.36454-1.01754 0.006635 -24.4086 95 24.4086

-0.97495 0.006883 -22.545 95.5 22.54497

-0.9308 0.007134 -20.7661 96 20.76611

-0.88506 0.007388 -19.0653 96.5 19.0653

-0.8377 0.007646 -17.4365 97 17.43652

-0.78872 0.007908 -15.8743 97.5 15.87434

-0.73808 0.008172 -14.3739 98 14.37388

-0.68577 0.008441 -12.9307 98.5 12.93072

-0.63176 0.008712 -11.5409 99 11.54086-0.57603 0.008987 -10.2007 99.5 10.20067

-0.51856 0.009266 -8.90684 100 8.90684

-0.39831 0.009834 -6.44643 101 6.446427

-0.27084 0.010416 -4.13842 102 4.138417

-0.13596 0.011012 -1.96495 103 1.964951

0.006508 0.011623 0.08912 104 -5

0.156745 0.012248 2.036731 105 -5

0.314936 0.012889 3.888994 106 -5

0.481267 0.013544 5.655508 107 -5

0.655926 0.014214 7.344609 108 -5

0.839103 0.014899 8.963575 109 -5

1.03099 0.015599 10.51878 110 -5

1.231779 0.016315 12.01585 111 -5

1.441666 0.017047 13.45975 112 -5

1.660847 0.017794 14.85487 113 -5

1.889521 0.018557 16.20515 114 -5

2.127888 0.019337 17.5141 115 -52.376151 0.020132 18.78485 116 -5

2.634513 0.020944 20.02023 117 -5

2.90318 0.021772 21.2228 118 -5

3.182358 0.022616 22.39485 119 -5

3.472258 0.023478 23.53847 120 -5


41/48

10.2521 0.040813 39.97892 137 -5

10.77275 0.041999 40.82282 138 -5

11.30844 0.043205 41.65705 139 -5

11.85939 0.04443 42.48206 140 -512.42587 0.045675 43.29826 141 -5

13.00812 0.046939 44.10602 142 -5

13.60639 0.048224 44.90571 143 -5

14.22092 0.049528 45.69767 144 -5

14.85198 0.050853 46.48222 145 -5

15.49982 0.052198 47.25967 146 -5

16.16469 0.053564 48.0303 147 -5

16.84685 0.05495 48.79438 148 -5

17.54657 0.056357 49.55216 149 -518.2641 0.057785 50.30389 150 -5

18.99971 0.059234 51.04979 151 -5

19.75367 0.060705 51.79009 152 -5

20.52624 0.062196 52.52498 153 -5

21.31769 0.063709 53.25467 154 -5

22.1283 0.065244 53.97934 155 -5

22.95832 0.0668 54.69917 156 -5

23.80805 0.068379 55.41432 157 -5

24.67776 0.069979 56.12496 158 -5

25.56771 0.071602 56.83123 159 -5

26.4782 0.073247 57.53329 160 -5

27.40951 0.074914 58.23127 161 -5

28.36191 0.076604 58.92531 162 -5

29.3357 0.078317 59.61553 163 -5

30.33116 0.080053 60.30205 164 -5

31.34857 0.081812 60.98498 165 -5

32.38824 0.083594 61.66445 166 -533.45044 0.085399 62.34055 167 -5

34.53548 0.087227 63.01339 168 -5

35.64365 0.08908 63.68306 169 -5

36.77525 0.090956 64.34966 170 -5

37.93057 0.092855 65.01328 171 -5


42/48

61.49966 0.128942 75.90999 188 -5

63.13522 0.131295 76.53184 189 -5

64.80053 0.133676 77.15189 190 -5

66.49592 0.136082 77.77018 191 -568.22173 0.138516 78.38676 192 -5

69.97829 0.140977 79.00165 193 -5

71.76595 0.143464 79.6149 194 -5

73.58504 0.145979 80.22656 195 -5

75.43591 0.148522 80.83664 196 -5

77.3189 0.151092 81.4452 197 -5

79.23436 0.153689 82.05225 198 -5

81.18264 0.156314 82.65785 199 -5

83.16409 0.158968 83.26201 200 -585.17907 0.161649 83.86476 201 -5

87.22791 0.164359 84.46615 202 -5

89.31099 0.167097 85.0662 203 -5

91.42865 0.169863 85.66493 204 -5

93.58127 0.172658 86.26237 205 -5

95.76919 0.175482 86.85856 206 -5

97.99278 0.178335 87.45351 207 -5

100.2524 0.181217 88.04725 208 -5

102.5484 0.184128 88.63981 209 -5

104.8812 0.187069 89.23121 210 -5

107.2512 0.190039 89.82147 211 -5

109.6586 0.193038 90.41061 212 -5

112.1039 0.196068 90.99866 213 -5

114.5875 0.199127 91.58564 214 -5

117.1097 0.202216 92.17157 215 -5

119.671 0.205336 92.75647 216 -5

122.2716 0.208486 93.34036 217 -5124.912 0.211666 93.92325 218 -5

127.5926 0.214877 94.50517 219 -5

130.3137 0.218119 95.08614 220 -5

133.0757 0.221391 95.66617 221 -5

135.8791 0.224695 96.24527 222 -5


43/48

190.2443 0.285742 105.964 239 -5

193.86 0.289628 106.529 240 -5

197.5248 0.293548 107.0934 241 -5

201.2391 0.297502 107.6571 242 -5205.0032 0.30149 108.2202 243 -5

208.8177 0.305512 108.7826 244 -5

212.6829 0.309568 109.3444 245 -5

216.5994 0.313659 109.9056 246 -5

220.5674 0.317784 110.4663 247 -5

224.5875 0.321944 111.0263 248 -5

228.6601 0.326138 111.5857 249 -5

232.7857 0.330368 112.1446 250 -5

236.9646 0.334633 112.7029 251 -5241.1974 0.338933 113.2606 252 -5

245.4843 0.343268 113.8178 253 -5

249.8261 0.347639 114.3744 254 -5

254.2229 0.352046 114.9305 255 -5

258.6754 0.356488 115.4861 256 -5

263.1839 0.360967 116.0412 257 -5

267.7489 0.365481 116.5957 258 -5

272.3709 0.370032 117.1498 259 -5

277.0503 0.374619 117.7033 260 -5

281.7876 0.379243 118.2564 261 -5

286.5832 0.383903 118.809 262 -5

291.4376 0.3886 119.3611 263 -5

296.3512 0.393334 119.9127 264 -5

301.3246 0.398105 120.4639 265 -5

306.3582 0.402913 121.0146 266 -5

311.4524 0.407759 121.5649 267 -5

316.6078 0.412642 122.1147 268 -5321.8248 0.417563 122.6641 269 -5

327.1038 0.422522 123.2131 270 -5

332.4454 0.427518 123.7616 271 -5

337.85 0.432553 124.3098 272 -5

343.3182 0.437625 124.8575 273 -5


44/48

446.466 0.529842 134.1103 290 -5

453.1612 0.535626 134.6515 291 -5

459.9294 0.541451 135.1923 292 -5

466.771 0.547318 135.7327 293 -5473.6867 0.553225 136.2729 294 -5

480.6768 0.559174 136.8128 295 -5

487.7419 0.565164 137.3523 296 -5

494.8825 0.571195 137.8916 297 -5

502.0992 0.577269 138.4305 298 -5

509.3925 0.583384 138.9692 299 -5

516.763 0.589541 139.5075 300 -5

524.211 0.59574 140.0456 301 -5

531.7372 0.601982 140.5834 302 -5539.3422 0.608266 141.1209 303 -5

547.0263 0.614592 141.6581 304 -5

554.7903 0.620961 142.195 305 -5

562.6345 0.627373 142.7317 306 -5

570.5596 0.633829 143.2681 307 -5

578.5661 0.640327 143.8042 308 -5

586.6545 0.646868 144.34 309 -5

594.8254 0.653453 144.8756 310 -5

603.0793 0.660081 145.411 311 -5

611.4168 0.666753 145.9461 312 -5

619.8384 0.673469 146.4809 313 -5

628.3447 0.680229 147.0155 314 -5

636.9362 0.687033 147.5498 315 -5

645.6135 0.693881 148.0839 316 -5

654.3771 0.700773 148.6178 317 -5

663.2276 0.70771 149.1514 318 -5

672.1656 0.714692 149.6847 319 -5681.1916 0.721718 150.2179 320 -5

690.3061 0.72879 150.7508 321 -5

699.5098 0.735906 151.2835 322 -5

708.8033 0.743068 151.8159 323 -5

718.187 0.750275 152.3482 324 -5


45/48

892.0837 0.879871 161.364 341 -5

903.1919 0.887919 161.8925 342 -5

914.4015 0.896014 162.4209 343 -5

925.7131 0.904158 162.9491 344 -5937.1274 0.91235 163.4772 345 -5

948.6449 0.920591 164.005 346 -5

960.2663 0.92888 164.5327 347 -5

971.9922 0.937218 165.0602 348 -5

983.8231 0.945605 165.5875 349 -5

995.7598 0.95404 166.1147 350 -5

1007.803 0.962525 166.6417 351 -5

1019.953 0.971059 167.1685 352 -5

1032.21 0.979643 167.6951 353 -51044.576 0.988276 168.2216 354 -5

1057.05 0.996959 168.7479 355 -5

1069.634 1.005692 169.2741 356 -5

1082.328 1.014475 169.8001 357 -5

1095.133 1.023307 170.3259 358 -5

1108.048 1.032191 170.8516 359 -5

1121.076 1.041124 171.3771 360 -5

1134.217 1.050108 171.9025 361 -5

1147.47 1.059143 172.4277 362 -5

1160.838 1.068229 172.9528 363 -5

1174.32 1.077365 173.4777 364 -5

1187.917 1.086553 174.0024 365 -5

1201.63 1.095792 174.527 366 -5

1215.46 1.105083 175.0515 367 -5

1229.406 1.114425 175.5758 368 -5

1243.47 1.123818 176.1 369 -5

1257.653 1.133264 176.6241 370 -51271.954 1.142761 177.148 371 -5

1286.376 1.152311 177.6717 372 -5

1300.917 1.161912 178.1953 373 -5

1315.58 1.171567 178.7188 374 -5

1330.364 1.181273 179.2422 375 -5


46/48

1600.955 1.354459 188.1194 392 -5

1618.044 1.365135 188.6405 393 -5

1635.267 1.375866 189.1614 394 -5

1652.625 1.386653 189.6823 395 -51670.12 1.397495 190.203 396 -5

1687.751 1.408393 190.7237 397 -5

1705.519 1.419346 191.2442 398 -5

1723.425 1.430356 191.7646 399 -5

1741.47 1.441421 192.2849 400 -5


47/48

2*E_*Ishaft*Kb_)

Unitless

(1/sec)*kg*m^2/(N*m) = sec


48/48

0

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100

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200

250

300

350

400

0 50 100 150 200 250 300 350 400

Spe

ed

Whirl Frequency

Forward

Speed=Freqline

Reverse

over hung den hartog

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