$$$ Current Year: 2010 Month: 2 Day: 22 $$$ **************************************************************************** MIXED ELASTOHYDRODYNAMIC LUBRICATION: A LINE CONTACT CASE INPUT DATA ----------- CASE DESCRIPTION: SIN, Line Contact, U=625, W=800N GEOMETRIC PARAMETERS Radius of curvature of Body A in X direction: 19.050000 mm Radius of curvature of Body B in X direction:************ mm Contact Length Defined for Analysis: 1.898686 mm OPERATING CONDITIONS Applied load per unit length: 1595.0000 N/mm Surface velocity of Body A: 0.62500000 m/s Surface velocity of Body B: 0.62500000 m/s Rolling Velocity: 0.62500000 m/s Slide-To-Roll Ratio: 0.00000000 Ambient temperature of Body A: 40.0000 deg.C Ambient temperature of Body B: 40.0000 deg.C MATERIAL PROPERTIES OF TWO BODIES Body A Body B Unit Young's modulus: 200.000000 200.000000 GPa Poisson's ratio: 0.300000 0.300000 Density: 7.865000 7.865000 g/cm**3 Conductivity: 46.000000 46.000000 W/(m.deg.C) Specific heat: 0.460000 0.460000 N.m/(g.deg.C) SURFACE ROUGHNESS PARAMETERS RMS Roughness of Surface A: 0.353553 micron RMS Roughness of Surface B: 0.353553 micron Composite RMS Roughness: 0.500000 micron Roughness Ratio RQ1/RQ2: 1.000000 DIMENSIONLESS SINUSOIDAL SURFACE PARAMETERS Wavelength of Surface A in Xr1-direction: 0.5000000 Wavelength of Surface A in Yr1-direction: 0.2500000 Wavelength of Surface B in Xr2-direction: 0.5000000 Wavelength of Surface B in Yr2-direction: 0.2500000 Angle Between Xr1-direction and Rolling: 0.00000 Angle Between Xr2-direction and Rolling: 0.00000 Phase Difference in X-direction: 0.00000 Phase Difference in Y-direction: 0.00000 LUBRICANT PROPERTIES Lubricant Name: Base Mineral Oil Kinematic Viscosity: 105.5000 cSt at 40.000 deg.C 27.8000 cSt at 100.000 deg.C Dynamic Viscosity at Inlet: 0.09600000 Pa.s Pressure-Viscosity Coeff. AL: 18.200000 1/GPa Pressure-viscosity Coeff. AL2: 0.720000 1/GPa Exponent CAK for Power Law: 16.000000 Density at room temperature: 0.880000 g/cm**3 Thermal Conductivity: 0.145000 W/(m.deg.C) Boundary Friction Coefficient: 0.150000 KINEMATIC VISCOSITY EQUATION for Base Mineral Oil lg ( lg ( v + 0.6)) = 0.00000 + ( 0.00000 * lg T ) where kinematic viscosity v is in cSt temperature T is in degree K DYNAMIC VISCOSITY EQUATION for Base Mineral Oil ET = ETO * EXP [ AL * P + ( BET + GAM * P )( 1/T - 1/TO )] where ET is the dynamic viscosity at temperature T and pressure P ETO is the dynamic viscosity at temperature TO and atmospheric pressure ETO =0.0960000000 Pa.s AL is the pressure-viscosity exponent AL = 18.20000000 1/GPa BET is the temperature-viscosity exponent BET = 0.0000 deg.K GAM is the pressure-temperature-viscosity exponent GAM = 0.00000000 deg.K/GPa temperatures T and TO are in deg.K TO = 0.0000 deg.K pressure P is in GPa **************************************************************************** RESULTS OF CALCULATION ---------------------- Actual Hertzian Contact Parameters: Ph= 1.7113457 A= 0.59334 YL= 1.89869 W= 3028.403 106 E0= 219.78023 RX= 19.0500 PLMT= ********* GPa NTC= 400 KSURF= 2 KFLOOD= 0 KRHEO= 0 KPLMT= 0 KFRCTMP= 2 PLMT= 100.0000 NSTART=-3 KFFT= 1 KHALF= 1 HLIM= 0.000 nm HAA= 0.00000000 Numerical Solution Control Parameters: Wedge Term Scheme_X: Blue-DXR Squeeze Term Scheme_T: Blue-DXR dT to dX Correlation Ratio: 1 dS/dX Differential Scheme: 2nd Central Roughness Interpolation Level: 2nd Order Correlation Between DXR and DX: Independent Correlation Between DYR and DY: Independent Recalculate DX1,DX2 Using D1,D2 for SIN: Yes Dimensionless Time Step Length: 0.0125003 Lowest Mesh Level and First Level Mesh Numbers M/N: 4 32 / 32 Delta_S1= 0.0125003 Delta_S2= 0.0125003 Delta_T= 0.0125003 X0 = -2.1000 Y0 = -1.6000 from Smooth.dat X0P = -2.1000 Y0P = -1.6000 from Pres.dat Estimated X0= -1.244044 Estimated HCs/HC= 1.000000 Dimensionless Hc From File = 0.177131E-04 WAx1= 0.50000 WAy1= 0.25000 THE1= 0.00 degree WAx2= 0.50000 WAy2= 0.25000 THE2= 0.00 degree phase difference in X-direction: 0.00000 phase difference in Y-direction: 0.00000 Ra1 = 0.2866 Rq1 = 0.3536 Rt1 = 0.7071 micron Ra2 = 0.2866 Rq2 = 0.3536 Rt2 = 0.7071 micron Sig = 0.5000 RSig= 1.0000 Rq1 = 0.3536 Rq2 = 0.3536 NTC= 400 NTC1= -175 NTC2= -175 0.098741 0.098741 Dimensionless Parameters and Film Thickness Estimates by Conventional Theories for Line or Roller Contacts: Material Parameter GR = 4000.00029 Speed Parameter UR =0.143307E-10 Load Parameter WR =0.380959E-03 Viscosity Parameter Gv =0.785675E+04 Elasticity Parameter Ge =0.100634E+03 Load Parameter M =0.711588E+02 Materials Parameter L =0.925518E+01 Slide-To-Roll Ratio S = 0.000000 Hc from EHL Theory =0.166863E-04 317.8738 nm Hm from EHL Theory =0.155625E-04 296.4647 nm Hc from Isovisc-Rigid Theory =0.184326E-06 3.5114 nm Hc from Piezovisc-Rigid Theory =0.246790E-04 470.1335 nm Hm from Isovisc-Elastic Theory =0.453056E-05 86.3070 nm Film Thickness Hc(Ge,Gv)=0.443578E+03 Film Thickness Hm(Ge,Gv)=0.413703E+03 Film Thickness Hc(M,L) =0.311682E+01 Film Thickness Hm(M,L) =0.290690E+01 Nominal Lambda Ratio = 1.349734 Inlet Distance X0 = 2.100000 Outlet Distance Xe = 1.100000 Lateral Distance Y0 = 1.600000 Minimum X0 Required for Flooded= 1.244044 Ratio of HcActual to HcFlood = 1.000000 EHL Central Film Thickness Estimates Hc from Pan & Hamrock (1989) = 317.8738 nm Hc from Grubin (1949) = 411.2327 nm Hc from Dowson & Toyoda (1978) = 439.0425 nm Hc from Yang & Wen (1987) = 285.5802 nm Hc from Wymer (1972) = 450.6135 nm EHL Minimum Film Thickness Estimates Hm from Pan & Hamrock (1989) = 296.4647 nm Hm from Dowson & Higginson (1961)= 315.5906 nm Hm from Dowson (1968) = 317.7799 nm Hm from Yang & Wen (1987) = 271.1399 nm Hm from Hamrock & Jacobson (1984)= 225.5166 nm Pressure-Viscosity Relation: Barus Law, AL= 18.2000009 Calculated Load/Input Load = 0.99999879 KLEV = 4 Calculated Load/Input Load = 0.99999879 KLEV = 4 FW =-.100000E-02 KLEV = 4 M = 256 N = 256 Dx = 0.0125000 Dy = 0.0125000 X0 =-2.1000000 Xe = 1.1000000 Y0 =-1.6000000 Timing Starts (sec)= 22126.8386378000 Calculated Load/Input Load = 0.99999879 KLEV = 4 After Read 49 Before W cycle started NT= 5 IT= 212 Er=0.000099379 0.00029059 Ha=0.00056866 337.410 nm CPU= 22166.2 NT= 10 T= 0.112501258E+00 S1= 0.112501258E+00 S2= 0.112501258E+00 NT= 10 IT= 479 Er=0.000099602 0.00151901 Ha=0.00056859 337.364 nm CPU= 22356.6 NT= 15 IT= 492 Er=0.000099129 0.00201803 Ha=0.00056874 337.456 nm CPU= 22572.7 NT= 20 T= 0.237502832E+00 S1= 0.237502832E+00 S2= 0.237502832E+00 NT= 20 IT= 552 Er=0.000099447 0.00271068 Ha=0.00057933 343.740 nm CPU= 22760.7 NT= 25 IT= 643 Er=0.000099724 0.00509418 Ha=0.00059949 355.701 nm CPU= 23018.9 NT= 30 T= 0.362504405E+00 S1= 0.362504405E+00 S2= 0.362504405E+00 NT= 30 IT=1001 Er=0.000102484 0.00714488 Ha=0.00062492 370.788 nm CPU= 23397.4 NT= 35 IT= 768 Er=0.000099730 0.00729091 Ha=0.00062365 370.038 nm CPU= 23784.9 NT= 40 T= 0.487505978E+00 S1= 0.487505978E+00 S2= 0.487505978E+00 NT= 40 IT=1001 Er=0.000121023 0.00942055 Ha=0.00062483 370.738 nm CPU= 24150.4 NT= 45 IT= 728 Er=0.000099633 0.01192431 Ha=0.00062532 371.026 nm CPU= 24508.7 NT= 50 T= 0.612507551E+00 S1= 0.612507551E+00 S2= 0.612507551E+00 NT= 50 IT= 949 Er=0.000099534 0.01338363 Ha=0.00062317 369.753 nm CPU= 24920.3 NT= 55 IT= 788 Er=0.000099889 0.01373600 Ha=0.00061684 365.996 nm CPU= 25333.3 NT= 60 T= 0.737509124E+00 S1= 0.737509124E+00 S2= 0.737509124E+00 NT= 60 IT=1001 Er=0.000118185 0.01566818 Ha=0.00061362 364.084 nm CPU= 25722.0 NT= 65 IT= 748 Er=0.000099121 0.01813449 Ha=0.00061138 362.754 nm CPU= 26088.5 NT= 70 T= 0.862510697E+00 S1= 0.862510697E+00 S2= 0.862510697E+00 NT= 70 IT= 981 Er=0.000099447 0.01965596 Ha=0.00060335 357.991 nm CPU= 26452.5 NT= 75 IT= 870 Er=0.000099786 0.01998906 Ha=0.00059055 350.394 nm CPU= 26803.0 NT= 80 T= 0.987512270E+00 S1= 0.987512270E+00 S2= 0.987512270E+00 NT= 80 IT=1001 Er=0.000123620 0.02185374 Ha=0.00058447 346.790 nm CPU= 27131.0 NT= 85 IT= 760 Er=0.000099791 0.02423606 Ha=0.00058207 345.365 nm CPU= 27430.4 NT= 90 T= 0.111251384E+01 S1= 0.111251384E+01 S2= 0.111251384E+01 NT= 90 IT= 934 Er=0.000099748 0.02562497 Ha=0.00057514 341.252 nm CPU= 27755.1 NT= 95 IT= 848 Er=0.000099907 0.02594668 Ha=0.00056390 334.586 nm CPU= 28086.7 NT= 100 T= 0.123751542E+01 S1= 0.123751542E+01 S2= 0.123751542E+01 NT= 100 IT=1001 Er=0.000115427 0.02770709 Ha=0.00055863 331.455 nm CPU= 28447.5 NT= 105 IT= 772 Er=0.000099657 0.03006137 Ha=0.00055574 329.740 nm CPU= 28793.5 NT= 110 T= 0.136251699E+01 S1= 0.136251699E+01 S2= 0.136251699E+01 NT= 110 IT= 962 Er=0.000099586 0.03153408 Ha=0.00054719 324.671 nm CPU= 29179.6 NT= 115 IT= 909 Er=0.000099969 0.03178761 Ha=0.00053469 317.252 nm CPU= 29579.7 NT= 120 T= 0.148751856E+01 S1= 0.148751856E+01 S2= 0.148751856E+01 NT= 120 IT=1001 Er=0.000124079 0.03351987 Ha=0.00052869 313.692 nm CPU= 29967.7 NT= 125 IT= 788 Er=0.000099800 0.03580696 Ha=0.00052645 312.363 nm CPU= 30314.3 NT= 130 T= 0.161252014E+01 S1= 0.161252014E+01 S2= 0.161252014E+01 NT= 130 IT= 948 Er=0.000099399 0.03712540 Ha=0.00052166 309.519 nm CPU= 30695.7 NT= 135 IT= 882 Er=0.000099945 0.03734563 Ha=0.00051589 306.096 nm CPU= 31087.4 NT= 140 T= 0.173752171E+01 S1= 0.173752171E+01 S2= 0.173752171E+01 NT= 140 IT=1001 Er=0.000116833 0.03897987 Ha=0.00051476 305.426 nm CPU= 31468.3 NT= 145 IT= 796 Er=0.000099669 0.04113554 Ha=0.00051570 305.988 nm CPU= 31820.1 NT= 150 T= 0.186252328E+01 S1= 0.186252328E+01 S2= 0.186252328E+01 NT= 150 IT= 978 Er=0.000099865 0.04245467 Ha=0.00051465 305.364 nm CPU= 32208.6 NT= 155 IT= 944 Er=0.000099908 0.04250816 Ha=0.00051370 304.799 nm CPU= 32616.6 NT= 160 T= 0.198752486E+01 S1= 0.198752486E+01 S2= 0.198752486E+01 NT= 160 IT=1001 Er=0.000124485 0.04390678 Ha=0.00051447 305.252 nm CPU= 33012.9 NT= 165 IT= 800 Er=0.000099166 0.04562639 Ha=0.00051556 305.901 nm CPU= 33368.2 NT= 170 T= 0.211252643E+01 S1= 0.211252643E+01 S2= 0.211252643E+01 NT= 170 IT= 990 Er=0.000099452 0.04648602 Ha=0.00051500 305.570 nm CPU= 33765.2 NT= 175 IT= 848 Er=0.000099475 0.04585637 Ha=0.00051448 305.262 nm CPU= 34138.5 NT= 180 T= 0.223752800E+01 S1= 0.223752800E+01 S2= 0.223752800E+01 NT= 180 IT=1001 Er=0.000154073 0.04703240 Ha=0.00051565 305.958 nm CPU= 34513.6 NT= 185 IT= 914 Er=0.000099924 0.04758120 Ha=0.00051710 306.813 nm CPU= 34887.4 NT= 190 T= 0.236252957E+01 S1= 0.236252957E+01 S2= 0.236252957E+01 NT= 190 IT= 892 Er=0.000099350 0.04697707 Ha=0.00051671 306.584 nm CPU= 35283.0 NT= 195 IT= 792 Er=0.000099139 0.04717728 Ha=0.00051611 306.229 nm CPU= 35614.1 NT= 200 T= 0.248753115E+01 S1= 0.248753115E+01 S2= 0.248753115E+01 NT= 200 IT=1001 Er=0.000178916 0.04783931 Ha=0.00051719 306.871 nm CPU= 35999.0 NT= 205 IT=1001 Er=0.000108954 0.04793798 Ha=0.00051868 307.752 nm CPU= 36400.0 NT= 210 T= 0.261253272E+01 S1= 0.261253272E+01 S2= 0.261253272E+01 NT= 210 IT= 866 Er=0.000099480 0.04709220 Ha=0.00051835 307.557 nm CPU= 36788.3 NT= 215 IT= 795 Er=0.000099948 0.04734885 Ha=0.00051769 307.164 nm CPU= 37117.4 NT= 220 T= 0.273753429E+01 S1= 0.273753429E+01 S2= 0.273753429E+01 NT= 220 IT=1001 Er=0.000166485 0.04787383 Ha=0.00051866 307.742 nm CPU= 37497.1 NT= 225 IT=1001 Er=0.000121427 0.04787670 Ha=0.00051997 308.521 nm CPU= 37904.0 NT= 230 T= 0.286253587E+01 S1= 0.286253587E+01 S2= 0.286253587E+01 NT= 230 IT= 874 Er=0.000099645 0.04690592 Ha=0.00051937 308.164 nm CPU= 38295.9 NT= 235 IT= 800 Er=0.000099834 0.04716083 Ha=0.00051835 307.560 nm CPU= 38629.7 NT= 240 T= 0.298753744E+01 S1= 0.298753744E+01 S2= 0.298753744E+01 NT= 240 IT=1001 Er=0.000169833 0.04774135 Ha=0.00051903 307.959 nm CPU= 39010.8 NT= 245 IT=1001 Er=0.000119949 0.04783701 Ha=0.00052015 308.627 nm CPU= 39421.8 NT= 250 T= 0.311253901E+01 S1= 0.311253901E+01 S2= 0.311253901E+01 NT= 250 IT= 872 Er=0.000099894 0.04695476 Ha=0.00051952 308.254 nm CPU= 39827.3 NT= 255 IT= 799 Er=0.000099872 0.04719138 Ha=0.00051858 307.692 nm CPU= 40183.5 NT= 260 T= 0.323754059E+01 S1= 0.323754059E+01 S2= 0.323754059E+01 NT= 260 IT=1001 Er=0.000167613 0.04773153 Ha=0.00051930 308.121 nm CPU= 40566.0 NT= 265 IT=1001 Er=0.000126050 0.04780272 Ha=0.00052042 308.788 nm CPU= 40944.1 NT= 270 T= 0.336254216E+01 S1= 0.336254216E+01 S2= 0.336254216E+01 NT= 270 IT= 884 Er=0.000099662 0.04682643 Ha=0.00051966 308.334 nm CPU= 41313.6 NT= 275 IT= 806 Er=0.000099756 0.04706120 Ha=0.00051843 307.605 nm CPU= 41635.1 NT= 280 T= 0.348754373E+01 S1= 0.348754373E+01 S2= 0.348754373E+01 NT= 280 IT=1001 Er=0.000168698 0.04765752 Ha=0.00051885 307.855 nm CPU= 41972.4 NT= 285 IT=1001 Er=0.000112570 0.04775140 Ha=0.00051986 308.452 nm CPU= 42322.9 NT= 290 T= 0.361254531E+01 S1= 0.361254531E+01 S2= 0.361254531E+01 NT= 290 IT= 876 Er=0.000099866 0.04689888 Ha=0.00051920 308.065 nm CPU= 42662.1 NT= 295 IT= 803 Er=0.000099968 0.04713642 Ha=0.00051822 307.481 nm CPU= 42945.6 NT= 300 T= 0.373754688E+01 S1= 0.373754688E+01 S2= 0.373754688E+01 NT= 300 IT=1001 Er=0.000166480 0.04768801 Ha=0.00051890 307.883 nm CPU= 43267.6 NT= 305 IT=1001 Er=0.000119352 0.04775462 Ha=0.00052007 308.577 nm CPU= 43607.9 NT= 310 T= 0.386254845E+01 S1= 0.386254845E+01 S2= 0.386254845E+01 NT= 310 IT= 886 Er=0.000099609 0.04678946 Ha=0.00051943 308.198 nm CPU= 43942.5 NT= 315 IT= 807 Er=0.000099839 0.04701028 Ha=0.00051835 307.555 nm CPU= 44231.0 NT= 320 T= 0.398755003E+01 S1= 0.398755003E+01 S2= 0.398755003E+01 NT= 320 IT=1001 Er=0.000169281 0.04762090 Ha=0.00051892 307.896 nm CPU= 44555.3 NT= 325 IT=1001 Er=0.000121928 0.04778451 Ha=0.00052006 308.569 nm CPU= 44898.1 NT= 330 T= 0.411255160E+01 S1= 0.411255160E+01 S2= 0.411255160E+01 NT= 330 IT= 882 Er=0.000099531 0.04688703 Ha=0.00051951 308.244 nm CPU= 45245.0 NT= 335 IT= 807 Er=0.000099400 0.04709769 Ha=0.00051859 307.699 nm CPU= 45536.4 NT= 340 T= 0.423755317E+01 S1= 0.423755317E+01 S2= 0.423755317E+01 NT= 340 IT=1001 Er=0.000166581 0.04765418 Ha=0.00051928 308.109 nm CPU= 45866.2 NT= 345 IT=1001 Er=0.000131284 0.04779803 Ha=0.00052045 308.806 nm CPU= 46209.4 NT= 350 T= 0.436255474E+01 S1= 0.436255474E+01 S2= 0.436255474E+01 NT= 350 IT= 890 Er=0.000099995 0.04678666 Ha=0.00051985 308.446 nm CPU= 46551.5 NT= 355 IT= 811 Er=0.000099407 0.04698821 Ha=0.00051878 307.810 nm CPU= 46844.6 NT= 360 T= 0.448755632E+01 S1= 0.448755632E+01 S2= 0.448755632E+01 NT= 360 IT=1001 Er=0.000168153 0.04760048 Ha=0.00051933 308.140 nm CPU= 47193.8 NT= 365 IT=1001 Er=0.000122003 0.04777074 Ha=0.00052049 308.827 nm CPU= 47594.5 NT= 370 T= 0.461255789E+01 S1= 0.461255789E+01 S2= 0.461255789E+01 NT= 370 IT= 882 Er=0.000099594 0.04687664 Ha=0.00051997 308.518 nm CPU= 47989.0 NT= 375 IT= 807 Er=0.000099577 0.04708672 Ha=0.00051901 307.951 nm CPU= 48306.1 NT= 380 T= 0.473755946E+01 S1= 0.473755946E+01 S2= 0.473755946E+01 NT= 380 IT=1001 Er=0.000166566 0.04764827 Ha=0.00051965 308.331 nm CPU= 48632.2 NT= 385 IT=1001 Er=0.000131569 0.04779241 Ha=0.00052083 309.026 nm CPU= 48980.0 NT= 390 T= 0.486256104E+01 S1= 0.486256104E+01 S2= 0.486256104E+01 NT= 390 IT= 890 Er=0.000099571 0.04677534 Ha=0.00052022 308.665 nm CPU= 49323.7 NT= 395 IT= 807 Er=0.000099634 0.04696356 Ha=0.00051911 308.010 nm CPU= 49614.9 NT= 400 T= 0.498756261E+01 S1= 0.498756261E+01 S2= 0.498756261E+01 NT= 400 IT=1001 Er=0.000169072 0.04757711 Ha=0.00051964 308.325 nm CPU= 49944.1 IT=1001 Err=.04757711 H0=-0.0942652 HR0=-0.0942621 HHR0=-0.0942759 Pa= 0.95575 NCONT = 20303 ER= 0.00016907 NT= 400 Max. Shear Stress = 0.477363 at X=-0.175000 Y= 0.000000 Z= 0.026250 NT= 400 Current X0= -2.1000 HA= 0.000519643 0.161851E-04 308.325 nm Estimated X0= -1.244 Estimated HAs/HA= 1.00000 HMIN= 0.000 nm NTC= 400 KSURF= 2 KFLOOD= 0 KRHEO= 0 KPLMT= 0 KFRCTMP= 2 PLMT= 100.0000 NSTART=-3 KFFT= 1 KHALF= 1 HLIM= 0.000 nm HAA= 0.00000000 KLEV = 4 M = 256 N = 256 Dx = 0.0125000 Dy = 0.0125000 X0 =-2.1000000 Xe = 1.1000000 Y0 =-1.6000000 SUMMARY OF RESULTS: Average Film Thickness at Center: 0.519643E-03 308.3248 nm Minimum Film THickness: 0.000000E+00 0.0000 nm Film Thickness (Lambda) Ratio: 1.23330 Contact Load Ratio Wc: 0.00000 % Contact Area Ratio Ac: 0.00000 % RMS Roughness after Deformation: 0.18447 micron Pressure Peak Height: 1.95703 3349.157722 MPa Inlext Distance X0: 2.100000 Coefficient of Friction: 0.00000000 Max.Flash Temperature Rise - Body A: 0.0000 Deg.C Max.Flash Temperature Rise - Body B: 0.0000 Deg.C Accumulated Wear - Body A: 0.000000E+00 mm**3 Accumulated Wear - Body B: 0.000000E+00 mm**3 Timing Starts at (sec)= 22126.8386 Timing stops at (sec) = 51687.9985 Total CPU Time (sec) = 29561.1599