Rolling Bearing Calcula on

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Rolling Bearing Calcula on Input data MESYS Rolling Bearing Calcula on 12-2017 - PiON Co., Seoul File name: D:/MESYS 12-2017/Applica on_examples/rbc/example-8point.

000 mm Bearing outer diameter D 1030.0 mm Bearing width B 170.000 mm Number of rolling elements Z 14 Roller diameter Dw 135.000 mm Pitch diameter Dpw 765.000 mm Conformity inner race fi 0.

1 Rolling Bearing Calcula on Input data MESYS Rolling Bearing Calcula on PiON Co., Seoul File name: D:/MESYS /Applica on_examples/rbc/example-8point.xml Project name: 8 point ball bearing Descrip on: Date: 2018년 1월 22일월요일오전 11:13:13 Bearing Geometry Type of rolling bearing Four point ball bearing (axial) Bearing inner diameter d mm Bearing outer diameter D mm Bearing width B mm Number of rolling elements Z 14 Roller diameter Dw mm Pitch diameter Dpw mm Conformity inner race fi 0.53 Conformity outer race fe 0.53 Nominal contact angle α Defini on of clearance User input as opera ng clearance Defini on of bearing tolerance Not considered Nominal axial clearance Pa mm Clearance genera on type axial direc on Configura on Number Posi on [mm] Axial offset [mm] Orienta on le le Loading Speed of inner ring ni rpm inner ring rotates rela ve to load Speed of outer ring ne rpm outer ring is sta onary rela ve to load Axial force Fx kn Radial force Y Fy kn Radial force Z Fz kn 1/11

2 Moment Y My Nm Moment Z Mz Nm Reliability reliability % Maximal permissible value for aiso aisomax 50 Temperature of inner ring T_i C Temperature of outer ring T_e C Material Surface hardness inner race HRC_i 58 Surface hardness outer race HRC_e 58 Ul mate strength of core inner race Rm_i MPa Ul mate strength of core outer race Rm_e MPa Material for inner ring Steel Material for outer ring Steel Material for rolling element Steel Lubrica on Lubricant ISO VG 100 mineral oil Kinema c viscosity at 40 C ν mm²/s Kinema c viscosity at 100 C ν mm²/s Oil density rhooil kg/m³ Oil temperature ϑoil C Oil does not contain effec ve EP addi ves Effec ve kinema c viscosity ν(ϑ) mm²/s Effec ve oil density ρ(ϑ) kg/m³ Lubricant cleanness Grease lubrica on, Normal cleanliness Results Centrifugal loads are considered Op on for gyroscopic moment Gyroscopic moment is not considered Bearing inner geometry Number of rolling elements Z 14 Roller diameter Dw mm Pitch diameter Dpw mm Conformity inner race fi 0.53 Conformity outer race fe 0.53 Nominal contact angle α Distance between center of curvature inner and δcc mm outer ring Distance between center of curvature inner ring δcc_i mm Distance between center of curvature outer ring δcc_e mm Nominal diametral clearance Pd mm Nominal axial clearance Pa mm Diameter inner race di mm Diameter outer race de mm Radius inner race ri mm Radius outer race re mm Distance between rolling elements δre mm Shoulder diameter inner ring dsi mm Limit contact angle inner ring αlim_i Shoulder diameter outer ring dse mm Limit contact angle outer ring αlim_e Extension contact ellipse inner ring dcimax mm Extension contact ellipse outer ring dcemin mm 2/11

3 Ellipse length ra o inner race elr_i % Ellipse length ra o outer race elr_e % Circumferen al ball advance Δb_circ mm Axial ball excursion Δb_ax mm Maximum spin to roll ra o maxspintoroll Forces and displacement Axial force Fx kn Radial force Y Fy kn Radial force Z Fz kn Displacement X ux µm Displacement Y uy µm Displacement Z uz µm Moment Y My Nm Moment Z Mz Nm Rota on around Y ry mrad Rota on around Z rz mrad Fric onal moment Mloss Nm Power loss Ploss W Maximal pressure inner race pmax_i MPa Maximal pressure outer race pmax_e MPa Maximal pressure pmax MPa Sta c safety factor SF Number Fx [kn] ux [mm] Fy [kn] uy [mm] Fz [kn] uz [mm] My [Nm] ry [mrad] Mz [Nm] rz [mrad] pmax [MPa] SF e e Life Load capacity factor bm 1.3 Dynamic load capacity Ca kn Sta c load capacity C0a kn Fa gue load limit Cua kn Dynamic load capacity, system Casys kn Sta c load capacity, system C0asys kn Fa gue load limit, system Cuasys kn Life modifica on factor for reliability a1 1 Viscosity ra o κ Contamina on factor ec Life modifica on factor aiso Reference load Pref e+06 N Basic reference ra ng life L10r Basic reference ra ng life L10rh h Modified reference ra ng life Lnmr Modified reference ra ng life Lnmrh h Life according ISO 281 Basic life L Basic life L10h h Modified life Lnm Modified life Lnmh h Sta c safety factor (ISO 76) S Number κ ec aiso Pref [kn] L10r Lnmr L10rh [h] Lnmrh [h] L10h [h] Lnmh [h] S /11

4 Wear parameters Fric onal moment Mloss Nm Power loss Ploss W Wear parameter PVmax PVmax MPa m/s Wear parameter PVavg_max PVavg_max MPa m/s Total thermal resistance R K/W Number Mloss [Nm] Ploss Ploss_i Ploss_e PVmax [MPa m/s] PVavg_max [MPa m/s] QV R [K/W] Subsurface stresses Maximal shear stress for inner race τmax_i MPa Depth for maximal shear stress inner race h(τmax_i) mm Shear yield stress for core inner race τyield_i MPa Shear fa gue limit for core inner race τa_i MPa Shear stress at core inner race τ_i MPa Maximal shear stress for outer race τmax_e MPa Depth for maximal shear stress outer race h(τmax_e) mm Shear yield stress for core outer race τyield_e MPa Shear fa gue limit for core outer race τa_e MPa Shear stress at core outer race τ_e MPa Required hardness depth inner race hdmin_i mm Required hardness depth outer race hdmin_e mm Damage Frequencies Speed of inner ring ni /s (20rpm) Speed of outer ring ne /s (0rpm) Rota on speed of cage fc /s (9rpm) Damage frequency for inner race fip /s (157rpm) Damage frequency for outer race fep /s (-123rpm) Damage frequency for rolling element frp /s (-112rpm) Bearing s ffness matrix ux [µm] uy [µm] uz [µm] ry [mrad] rz [mrad] Fx [N] Fy [N] Fz [N] My [Nm] Mz [Nm] /11

5 5/11

6 6/11

7 7/11

8 8/11

9 Result table for bearing 1 9/11

10 Ball ψ [ ] αi_l [ ] αe_l [ ] Qi_l [N] Qe_l [N] pi_l [MPa] pe_l [MPa] αi_r [ ] αe_r [ ] Qi_r [N] Qe_r [N] pi_r [MPa] pe_r [MPa] elr_i elr_e ψ : Posi on of ball αi : Contact angle inner race αe : Contact angle outer race Qi : Force at inner race Qe : Force at outer race pi : Maximal pressure inner race pe : Maximal pressure outer race elr_i : Ellipse length ra o inner race elr_e : Ellipse length ra o outer race Ball _i_l _e_l i_l e_l QV_i_l QV_e_l PVmax _i_l [MPa m /s] PVmax _e_l [MPa m /s] _i_r _e_r i_r e_r QV_i_r QV_e_r PVmax PVmax _i_r _e_r [MPa m [MPa m /s] /s] Result table for bearing 2 Ball ψ [ ] αi_l [ ] αe_l [ ] Qi_l [N] Qe_l [N] pi_l [MPa] pe_l [MPa] αi_r [ ] αe_r [ ] Qi_r [N] Qe_r [N] pi_r [MPa] pe_r [MPa] elr_i elr_e /11

11 Ball ψ [ ] αi_l [ ] αe_l [ ] Qi_l [N] Qe_l [N] pi_l [MPa] pe_l [MPa] αi_r [ ] αe_r [ ] Qi_r [N] Qe_r [N] pi_r [MPa] pe_r [MPa] elr_i elr_e ψ : Posi on of ball αi : Contact angle inner race αe : Contact angle outer race Qi : Force at inner race Qe : Force at outer race pi : Maximal pressure inner race pe : Maximal pressure outer race elr_i : Ellipse length ra o inner race elr_e : Ellipse length ra o outer race Ball _i_l _e_l i_l e_l QV_i_l QV_e_l PVmax _i_l [MPa m /s] PVmax _e_l [MPa m /s] _i_r _e_r i_r e_r QV_i_r QV_e_r PVmax PVmax _i_r _e_r [MPa m [MPa m /s] /s] /11

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