Roller bearings. (slide 01)
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- Kristin Gerstle
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1 Roller beargs (slide 0) Historical remarks on rollg contact beargs: (slide 0a) : a Celtic cart ( v. Chr) with wooden rollers as wheel beargs ( all elements of modern roller beargs are prciple corporated) (slide 0a) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite von 35
2 (slide 0b) : drawg from French patents from a tapered thrust roller bearg - a thrust ball bearg both for axial forces the beargs (slide 0b) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 2 von 35
3 (slide 04a) : construction and nomenclature of ball beargs (deep groove ball beargs) - outer rg : (Aussenrg) of bearg - ner rg : (Innenrg) of bearg (slide 04a) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 3 von 35
4 Characteristic dimensions of ball beargs: - outside diameter : Außendurchmesser des Außenrgs - bore diameter : Bohrungsdurchmesser des Innenrgs - width of beargs : Lagerbreite - ner rg raceway: Lauffläche des Innenrgs - outer rg raceway: Laufflächen des Außenrgs - ner / outer rg land: Innen u. Außenrg- Rand - ner / outer rg face: Stirnflächen des Innen u. Außenrgs - separator/ cage: Kugel/ Rollen Käfig der Wälzkörper - rg shoulders: Rgschultern ( Führung des Wälzkörper) ( cont. Slide 04a): step assembly - fillg of ball bearg: excentric movement of the ner rg - with separator between the balls concentric run of both rgs Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 4 von 35
5 (slide 04b) ( silde 04b) nomenclature of tapered roller beargs: - cone and cup face rib: Anlaufrand des Wälzkörpes - cone and cup front and back face: Anlauf- bzw. Stirnflächen des Innen- und Außenrgs Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 5 von 35
6 Types of rollg contact beargs: (slide 05): types of ball beargs (symbols) (slide 05) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 6 von 35
7 radial beargs: ma load : radial forces - sgle row deep groove ball bearg (Rillenkugellager - double row: deep groove ball bearg (Rillenkugellager) (ereihige und doppelreihige Lager) - sgle row angular contact ball bearg - double row: angular contact ball bearg (Schräg- bzw. Schulterkugellager) - three, four pot contact ball bearg (Drei/Vierpunkt-Kugellager) - self aligng ball bearg: Pendelkugellager (greater angular differences possible) thrust beargs: ma load: axial forces - sgle direction: eseitig wirkend - double direction: beidseitig wirkend Axial-Kugellager - double direction angular contact thrust ball bearg: Doppelseitiges Schulter-Axial-Kugellager Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 7 von 35
8 (slide 06): Roller beargs (Rollenlager) (slide 06) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 8 von 35
9 radial roller beargs: (Rollenlager) - sgle and double row cyldrical roller beargs (ereihige bzw. zweireihige Zylderollenlager) for radial loads only : no axial forces possible - long roller beargs: (Lang Rollen Lager) Very sensitive for angular misalignments - needle roller beargs: (Nadelrollenlager) needle: diameter of roller << length of roller - tapered roller beargs: (Kegelrollenlager) for axial and radial loads - sgle and double row beargs four row roller beargs - spherical roller beargs: Pendelrollenlager thrust beargs: - cyldrical thrust roller beargs: Axial-Zylderollenlager - needle thrust roller beargs: Axial-Nadellager - spherical thrust roller beargs: Axial-Pendelrollenlager Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 9 von 35
10 (slide 07) : German ball bearg types Ball beargs: a) deep groove ball bearg (one row) ; b) deep groove ball bearg (two row) c) angular contact ball bearg (one row) ; d) angular contact ball bearg (two row) ; e) double direction angular ball bearg f ) self-aligng sleeve ball bearg : g) axial-deep groove ball bearg (sgle direction) (slide 07) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 0 von 35
11 (slide 08) : German roller beargs (Deutsche Rollenlager) Roller beargs: a) cyldrical roller bearg with different types of construction b) self aligng sleeve roller bearg c) spherical roller bearg d) tapered roller bearg e) axial self aligng sleeve roller bearg (slide 08) - types with NU, N, NJ, NUP difference of types of raceway at ner or outer rg Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite von 35
12 (slide 09) : types of cyldrical roller beargs (slide 09) picture 20a and b: picture 2a: picture 2b: picture 2c: picture 2d: cylder roller bearg with construction type NJ cylder roller bearg with construction type N cylder roller bearg with construction type NU cylder roller bearg with construction type NUP cylder roller bearg with construction type NJ with angular rg remark: no axial loads possible, raceway front faces can not take high loads, only aligng possible Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 2 von 35
13 (slide 0) : Types and characteristics of rollg beargs (slide 0) Question: bearg type and certa features of use - axial and/or radial loadg possible - rotational speed - accuracy - angular misalignment of beargs Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 3 von 35
14 special features: - rg separability (self contag beargs) - possible direction for axial loads - no axial loads possible (slide ) : Geometry and design of dimensions for beargs (slide ) Picture : cut-out of dimensions of radial bearg with bearg cross section for bore d=20 Picture 2: The dimension series can be derived from the combation of width series and diameter series Picture 3: cut-out of the dimension of tapered roller bearg Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 4 von 35
15 Radial beargs: Four diameter series: 0,2,3,4 - for same bore diameter outside diameter is different: bigger rollers, more rollers - width series: 0,,2,3,4 - dimension series: 00,0, 20, 30, 40 02, 2, 22, 32 dependg on width series 03, 3, 23, 33 combation of width series and diameter series number of dimension series is established dimension system for tapered roller beargs: - system of letters for diameter and width series (slide 2): defition of rollg beargs acc. to DIN 623 (slide 2) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 5 von 35
16 Vorsetzzeichen: Lagerreihe: Bohrungskennzahl: Nachsetzzeichen : Basiskennzeichen: supplementary symbol bearg series bore number trailer symbol base identifier of bearg, base tag All this data identifyg exactly a bearg this is embossed on outer face of bearg. Examples for base identifiers of beargs: - bore number system (b. n) diameter 0-7 for the bore d = 0 bore number 00 d = 2 bore number 0 d = 5 bore number 02 d = 7 bore number d < 500, b n = 5 d < 0 direct number of bore d b Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 6 von 35
17 ( slide 3): base identifier (slide 3) bore number 03 d = 7 bearg series 62-6 : deep groove ball beag (Rillenkugellager) - (2): width series 0-2 : diameter series 2 Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 7 von 35
18 (slide 4): short symbols for beargs (slide 4) deep groove ball beargs: 42, 43, 60, 62, 63, 64, 60. And other examples for different beargs Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 8 von 35
19 Operatg life for rollg beargs: () Rollg beargs don t have fatigue life, because of the contuous rollg contact between roll/ball and raceway surface. (2) Rollg fatigue is a special type/unique type of failure for materials Therefore: the lifetime/ endurance of a bearg depends on the actual load the environmental conditions ( dust ), lubrication and the nature of load : contuous load, varyg load, vibrations, shocks. Therefore a load-carryg-capacity is defed rated dynamic load C for a rollg bearg is the load KN for a bearg type, where 90 % of set of beargs will run 0 6 revolutions. If the load is less than this rated value: the number of revolutions are higher the other case number of revolutions are less. C L = P m million revolutions L: life of bearg millions of revolutions C: dynamic rated load of bearg (dynamische Tragzahl des Lagers) P: dynamic equivalent load of bearg (dynamische equivalente Belastung) Rated dynamic load m m = 3 m = 0/3 load-life exponent for ball beargs for roller beargs the operatg lifetime of bearg operation hours is calculated from the bearg life: L h = L n h n h = number of revolution per hour n h = n 60 : n rpm per mute The data for C is given special tables from bearg makes for each bearg type. Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 9 von 35
20 Data about beargs are compiled data files for bearg lifetime for various technical applications (slide 5) (slide 5) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 20 von 35
21 Operatg hours per year for roller beargs dustrial applications: - 3 shift operation per day : 24 h / day shift per week : h / week weeks per year : h / year - calendar time: 365 d/y 24 h: /day = 8760 h/year Results from this consideration: 0000 h = years of contuous operation h = 9.2 : 6-0 years of contuous operation domestic operatig conditions - 2 h per day and 2 times per week 4 h per week = 208 h per year h per week 26 h per year (dust collector) necessary load capacity for a rollg bearg (slide 6): nomograph for rollg beargs determg factor C/P value for a bearg Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 2 von 35
22 (slide 6) L h m 6 m C 6 C 0 = 0 = n P n 60 P h m C Ln n 60 = 6 P 0 m C Ln n 60 = 6 P 0 Dynamic equivalent load of the bearg: Both axial and radial loads are volved. P = X F + Y F R X: radial load factor (Radialfaktor) Y: axial load factor (Axialfaktor) a X,Y are dependg on bearg type and loadg conditions and are tabulated by bearg makers. Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 22 von 35
23 (slide 7): X and Y factors for beargs (slide 7) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 23 von 35
24 parameters of evaluation: F a e F or a R R F e F > : Fa e = C C or : static rated load factor ( tables) Or other value: or F a 3 R i z D = e i : number of roller rows Z : number of ball per row D R : diameter of ball/roller (not very practical method, too many details need to be known) Other method for determg the factors: (slide 8): Capacity formulas for beargs. Capacity formulas for radial and angular beargs Bearg type e Sgle row beargs Double row beargs Pa/Pr<e Pa/Pr>e Pa/Pr<e Pa/Pr>e Deep groove ball beargs Angular contact ball beargs Self-aligng ball beargs Spherical roller beargs Tapered roller beargs P l/c 0=0.025 P l/c 0=0.04 P l/c 0=0.07 P l/c 0= P l/c 0=0.25 P l/c 0=0.50 β=20 β =25 β =30 β =35 β =40 β = x tanβ.5 x tanβ.5 x tanβ X Y X Y X Y X Y x cotβ x cotβ 0.45 x cotβ 0.42 x cotβ x cotβ x cotβ x cotβ (slide 8) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 24 von 35
25 P t = P a P C a o = e X and Y are determed Accordg to P : dynamic equivalent load also: P 0 = X 0 F ro +Y 0 F ao is defed P 0 : statically equivalent load X 0 : static radial factor (see slide 9) Y 0 : static axial factor Bearg Type Sgle Row Double Row X 0 Y 0 X 0 Y 0 Radial deep-groove ball Radial angular-contact β= ball β= β= β= β= Radial self-aligng ball cotβ 0.44cotβ Radial spherical roller cotβ 0.44cotβ Radial tapered roller cotβ 0.44cotβ (slide 9) A static load factor f s ( statische Kennzahl ) is defed : f s = C P o o f s : f s : f s : if f s for high demands for smooth run and mimum friction run.0-.5 for normal demands for low demands on bearg > 8 rollg bearg are assumed as fatigue ( werden als dauerfest angesehen) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 25 von 35
26 If the load changes between P m and P max P m Pm + 2 Pmax = as mean equivalent load is defed! 3 If different levels of loads are runng at certa times a average equivalent value is calculated: P m = m m m m P t + P2 t Pn t tges n or other way: P m = m n m Σ Pi i = n ( t ) Σ ( t ) i = i P i : load i t i : runng time of load i A similar calculation can be made if the number of revolutions with a certa load is known: P m = m m m m P n + P2 n P n nges n n For n i also the percentage of load P i can be used this case n ges 00 % Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 26 von 35
27 For higher operatg temperatures the hardness of the bearg material decreases, therefore the dynamic rated load is corrected by a temperature factor ϑ = 50 C 200 C 250 C 300 C f T = C t = C x f T (temperature correct dynamic rated load) Some more simplified formulas of for calculation of equivalent loads: For ball beargs: a) 0< F a / F R < 5 : P = F R b) 5 F a / F R 0 : P = F R (+.5 (F a /F R -5)) c) F a /F R > 0 : P =.76 F a For angular ball beargs: a) 0< F a / F R < 0.68 : P = F R b) 0.68 < F a / F R 0 : P = F R (+0.870(F a /F R -0.68)) c) F a / F R > 0 : P = 0.9 P a For all cyldrical and needle roller beargs P = F R because no axial loads can be taken Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 27 von 35
28 Some more examples for bearg data tables: (slide 20) : deep groove ball beargs (SKF/FAG) (slide 20) (slide 2) : deep groove ball beargs (SKF/FAG) series04 (big beargs) (slide 2) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 28 von 35
29 (slide 22) : FAG- table for ball beargs (Rillenkugellager n. FAG) data for deep groove ball bearg DIN 625 (slide 22) Lagerluft: Bohrungskennzahl : bearg clearance bore dimension number Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 29 von 35
30 (slide 23) : FAG-table for angular ball beargs and INA-data table for needle roller beargs: Data for angular contact ball bearg DIN 628 Data for needle bearg beargs acc. to DIN 67 (slide 23) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 30 von 35
31 (slide 24) : FAG-table for tapered roller beargs ) DIN 720 it s not declared 2) A big mount of these beargs is supplied with changed ternal construction, and has make-up symbol A, for stance 30208A (see catalogue) (slide 24) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 3 von 35
32 (slide 25a,b,c,d) : SFK data for deep groove ball beargs b w d a d b with full outer rg shoulders with recessed outer rg shoulders (slide 25a) Sgle row deep groove ball beargs Prcipal Dimensions Basic load ratgs Allowable load limit dynami static d b d a b w c C 0 w all C N lbf Speed ratgs grease oil rpm Abutment and fillet Dimensions D b,m D a,max r a,max Designation 60/2.5 68/ / (slide 25b) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 32 von 35
33 sgle row deep groove ball beargs Prcipal Dimensions Basic load ratgs Allowable load limit Speed ratgs d a b c C 0 w all dynami static grease oil C N rpm lbf Abutment and fillet Dimensions D b,m D a,max r a,max Designation (slide 25c) Sgle row deep groove ball beargs Prcipal Dimensions Basic load ratgs Allowable load limit Speed ratgs d a b c C 0 w all dynami static grease oil C N rpm lbf Abutment and fillet Dimensions D b,m D a,max r a,max Designation Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 33 von 35
34 (slide 25d) sgle row deep groove ball beargs Prcipal Dimensions Basic load ratgs Allowable load limit dynami static d b d a b w c C 0 w all C N lbf Speed ratgs grease oil rpm Abutment and fillet Dimensions D b,m D a,max r a,max Designation /500 68/000 (slide 25e) (slide 26a,b,c) : SFK data for cyldrical roller beargs d b (slide 26a) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 34 von 35
35 Prcipal Dimensions Basic load Ratgs Allowable load limit Speed ratgs Abutment and filet dimensions Designation db da bw C C0 wa grease oil Dam Damax Dbm Dcmax ramax rbmax N lbf N lbf N lbf rpm rpm NU202EC NU302EC NU203EC NU2203EC NU303EC NU204EC NU2204EC NU2304EC NU005 NU205EC NU2205EC NU305EC NU2305EC NU006 NU206EC NU2206EC NU306EC NU406 (slide 26b) Prcipal Dimensions Basic load Ratgs Allowable load limit Speed ratgs Abutment and filet dimensions Designation db da bw C C0 wa grease oil Dam Damax Dbm Dcmax ramax rbmax N lbf N lbf N lbf rpm rpm NU NU20EC NU220EC NU NU25EC NU225EC NU235EC NU NU NU220EC NU2220EC NU NU NU2230EC NU2330EC NU NU2340EC NU080 (slide 26c) Lec_DT3-Roller_beargs.doc Erstelldatum :02 Seite 35 von 35
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