$$$ Current Year: 2010 Month: 2 Day: 21 $$$ **************************************************************************** MIXED ELASTOHYDRODYNAMIC LUBRICATION: A POINT CONTACT CASE INPUT DATA ----------- CASE DESCRIPTION: Progressive Mesh Densification, 64x64 -> 512x512 GEOMETRIC PARAMETERS Radius of curvature of Body A in X direction: 15.000000 mm Radius of curvature of Body B in X direction:************ mm Radius of curvature of Body A in Y direction: 15.000000 mm Radius of curvature of Body B in Y direction:************ mm OPERATING CONDITIONS Applied normal load: 400.0000 N Surface velocity of Body A: 17.50000000 m/s Surface velocity of Body B: 22.50000000 m/s Rolling Velocity: 20.00000000 m/s Slide-To-Roll Ratio: 0.25000000 Ambient temperature of Body A: 25.0000 deg.C Ambient temperature of Body B: 25.0000 deg.C MATERIAL PROPERTIES OF TWO BODIES Body A Body B Unit Young's modulus: 206.000000 206.000000 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) SMOOTH SURFACES ASSUMED. Sigma=0.0 LUBRICANT PROPERTIES Lubricant Name: Mineral Oil Kinematic Viscosity: 37.5000 cSt at 40.000 deg.C 9.7000 cSt at 100.000 deg.C Dynamic Viscosity at Inlet: 0.05500000 Pa.s Pressure-Viscosity Coeff. AL: 25.700000 1/GPa Pressure-viscosity Coeff. AL2: 0.720000 1/GPa Exponent CAK for Power Law: 0.000000 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 Mineral Oil lg ( lg ( v + 0.6)) = 6.53808 + ( -2.53998 * lg T ) where kinematic viscosity v is in cSt temperature T is in degree K DYNAMIC VISCOSITY EQUATION for 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 =0.0550000000 Pa.s AL is the pressure-viscosity exponent AL = 25.70000000 1/GPa BET is the temperature-viscosity exponent BET = 2633.4820 deg.K GAM is the pressure-temperature-viscosity exponent GAM = 0.00002362 deg.K/GPa temperatures T and TO are in deg.K TO = 298.1500 deg.K pressure P is in GPa **************************************************************************** RESULTS OF CALCULATION ---------------------- Actual Hertzian Contact Parameters: Ph= 1.6395462 A= 0.34130 B= 0.34130 K= 1.00000 588 E0= 226.37363 RX= 15.0000 RY= 15.0000 PLMT= ********* GPa NTC= 500 KSURF= 0 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: 0.0416670 Lowest Mesh Level and First Level Mesh Numbers M/N: 2 32 / 32 Delta_S1= 0.0364586 Delta_S2= 0.0468754 Delta_T= 0.0416670 X0 = 0.0000 Y0 = 0.0000 from Smooth.dat Dimensionless Parameters and Film Thickness Estimates by Conventional Theories for Point Contacts: Material Parameter GR = 5817.80262 Speed Parameter UR =0.323948E-09 Load Parameter WR =0.785329E-05 Viscosity Parameter Gv =0.268512E+08 Elasticity Parameter Ge =0.232195E+06 Load Parameter M =0.611537E+02 Materials Parameter L =0.293518E+02 Ellipticity Parameter K = 1.000000 Slide-To-Roll Ratio S = 0.250000 Hc from EHL Theory =0.181114E-03 2716.7035 nm Hm from EHL Theory =0.104138E-03 1562.0630 nm Hc from Isovisc-Rigid Theory =0.238409E-06 3.5761 nm Hc from Piezovisc-Rigid Theory =0.577521E-05 86.6281 nm Hc from Isovisc-Elastic Theory =0.340449E-04 510.6740 nm Hm from Isovisc-Elastic Theory =0.219449E-04 329.1741 nm Film Thickness Hc(Ge,Gv)=0.106440E+06 Film Thickness Hm(Ge,Gv)=0.612012E+05 Film Thickness Hc(M,L) =0.711538E+01 Film Thickness Hm(M,L) =0.409124E+01 Nominal Lambda Ratio =************ Inlet Distance X0 = 1.900000 Outlet Distance Xe = 1.100000 Lateral Distance Y0 = 1.500000 Minimum X0 Required for Flooded= 2.747557 Ratio of HcActual to HcFlood = 0.824946 Pressure-Viscosity Relation: Barus Law, AL= 25.7000012 Calculated Load/Input Load = 1.00008792 KLEV = 2 Calculated Load/Input Load = 1.00008792 KLEV = 2 FW =-.254636E-01 KLEV = 2 M = 64 N = 64 Dx = 0.0468750 Dy = 0.0468750 X0 =-1.9000000 Xe = 1.1000000 Y0 =-1.5000000 Timing Starts (sec)= 2351.51227370000 NT= 50 IT= 26 Er=0.000492148 0.00369208 Ha=0.00671840 2293.003 nm CPU= 2370.9 ************** Mesh Level Changed From 2 To 3 at NT= 60 ************** NT= 100 IT= 12 Er=0.000299399 0.00037979 Ha=0.00691017 2358.454 nm CPU= 2432.7 ************** Mesh Level Changed From 3 To 4 at NT= 144 ************** NT= 160 IT= 12 Er=0.000458047 0.00018449 Ha=0.00707579 2414.981 nm CPU= 2664.0 NT= 180 IT= 12 Er=0.000302425 0.00012664 Ha=0.00707786 2415.689 nm CPU= 2841.0 NT= 200 IT= 12 Er=0.000219211 0.00009745 Ha=0.00707704 2415.407 nm CPU= 3018.2 NT= 220 IT= 12 Er=0.000177656 0.00008202 Ha=0.00707651 2415.227 nm CPU= 3194.8 NT= 240 IT= 12 Er=0.000166088 0.00007633 Ha=0.00707816 2415.792 nm CPU= 3362.6 NT= 260 IT= 12 Er=0.000159661 0.00007266 Ha=0.00708257 2417.294 nm CPU= 3518.2 NT= 280 IT= 12 Er=0.000152138 0.00006881 Ha=0.00708915 2419.541 nm CPU= 3674.6 ************** Mesh Level Changed From 4 To 5 at NT= 288 ************** NT= 290 IT= 121 Er=0.000496310 0.00097451 Ha=0.00709284 2420.799 nm CPU= 3896.4 NT= 300 IT= 17 Er=0.000497831 0.00010708 Ha=0.00709637 2422.004 nm CPU= 4591.8 NT= 310 IT= 15 Er=0.000493309 0.00008086 Ha=0.00709979 2423.171 nm CPU= 5162.1 NT= 320 IT= 12 Er=0.000487271 0.00005765 Ha=0.00710407 2424.633 nm CPU= 5756.1 NT= 330 IT= 12 Er=0.000426880 0.00005236 Ha=0.00710833 2426.088 nm CPU= 6360.3 NT= 340 IT= 12 Er=0.000371901 0.00004784 Ha=0.00711203 2427.349 nm CPU= 6980.7 NT= 350 IT= 12 Er=0.000326342 0.00004405 Ha=0.00711523 2428.441 nm CPU= 7560.0 NT= 360 IT= 12 Er=0.000291311 0.00004084 Ha=0.00711801 2429.392 nm CPU= 8125.0 NT= 370 IT= 12 Er=0.000263669 0.00003808 Ha=0.00712044 2430.222 nm CPU= 8702.0 NT= 380 IT= 12 Er=0.000241134 0.00003568 Ha=0.00712258 2430.952 nm CPU= 9278.1 NT= 390 IT= 12 Er=0.000222443 0.00003357 Ha=0.00712448 2431.598 nm CPU= 9808.0 NT= 400 IT= 12 Er=0.000206520 0.00003166 Ha=0.00712617 2432.175 nm CPU= 10331.5 NT= 410 IT= 12 Er=0.000192618 0.00002989 Ha=0.00712769 2432.694 nm CPU= 10865.1 NT= 420 IT= 12 Er=0.000180223 0.00002823 Ha=0.00712907 2433.165 nm CPU= 11440.2 NT= 430 IT= 12 Er=0.000169106 0.00002669 Ha=0.00713033 2433.595 nm CPU= 12058.5 NT= 440 IT= 12 Er=0.000158978 0.00002523 Ha=0.00713149 2433.991 nm CPU= 12679.7 NT= 450 IT= 12 Er=0.000149633 0.00002386 Ha=0.00713256 2434.358 nm CPU= 13312.8 NT= 460 IT= 12 Er=0.000141089 0.00002259 Ha=0.00713356 2434.699 nm CPU= 13935.0 NT= 470 IT= 12 Er=0.000133406 0.00002145 Ha=0.00713450 2435.018 nm CPU= 14549.5 NT= 480 IT= 12 Er=0.000126464 0.00002041 Ha=0.00713537 2435.316 nm CPU= 15225.0 NT= 490 IT= 12 Er=0.000120444 0.00001952 Ha=0.00713619 2435.595 nm CPU= 15904.0 NT= 500 IT= 12 Er=0.000115212 0.00001875 Ha=0.00713695 2435.855 nm CPU= 16656.1 IT= 12 Err=.00001875 H0=-0.0158781 HR0=-0.0158781 HHR0=-0.0158782 Pa= 0.96350 NCONT = 22881 ER= 0.00011521 NT= 500 Max. von Mises Stress = 0.640515 at X= 0.045313 Y= 0.000000 Z= 0.475000 NT= 500 Current X0= -1.9000 HC= 0.007160022 0.162915E-03 2443.730 nm Estimated X0= -2.748 Estimated HCs/HC= 0.82495 HMIN=1712.944 nm NTC= 500 KSURF= 0 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 = 5 M = 512 N = 512 Dx = 0.0058594 Dy = 0.0058594 X0 =-1.9000000 Xe = 1.1000000 Y0 =-1.5000000 SUMMARY OF RESULTS: Central Film Thickness(For smooth): 0.716002E-02 2443.7298 nm Average Film Thickness at Center: 0.713695E-02 2435.8554 nm Minimum Film THickness: 0.501885E-02 1712.9438 nm Film Thickness (Lambda) Ratio: 99.00000 Contact Load Ratio Wc: 0.00000 % Contact Area Ratio Ac: 0.00000 % RMS Roughness after Deformation: 0.01614 micron Pressure Peak Height: 1.56177 2560.595962 MPa Inlext Distance X0: 1.900000 Coefficient of Friction: 0.04765691 Max.Flash Temperature Rise - Body A: 86.4466 Deg.C Max.Flash Temperature Rise - Body B: 76.7097 Deg.C Accumulated Wear - Body A: 0.000000E+00 mm**3 Accumulated Wear - Body B: 0.000000E+00 mm**3 Timing Starts at (sec)= 2351.5123 Timing stops at (sec) = 17534.2004 Total CPU Time (sec) = 15182.6881