分析改錯(cuò)題100滾動(dòng)軸承計(jì)算題

S=0.4FT。求兩軸承所承受的軸向載荷。1

Fr150FA1007001503601001R2vFrR1v7004701

R1H

11890F FR1S1

R2S2S1S2S1FA400360782NSA1S1422N,A2S1FAFa1=400N,Fa2=2400NfP=1。試計(jì)算軸承當(dāng)A/R>e時(shí)，X=0.4,Y=1.6；當(dāng)A/R<=e時(shí)，X=1,Y=0）2SR12500

SR25000 S1Fa2Fa178124004002781NA1S1781N,A1S1Fa2Fa1A1

0.31A227810.56 P1fPX1R1Y1A1P2fP(X2R2Y2A2)P1<P22如圖所示。取載荷系數(shù)fp=1.2。試計(jì)算：（1）SFr15200 SFr23800 S1S2

3S1FA1520912002729NSA1S11529N,A2S1FAA115290.29e,A22729eF 所以P1fPX1R1Y1A1)1.25200P2fP(X2R2Y2A2)1.2(0.438001.72729)

f10( f )t

( )103955rLL60

,

=39800N,

=35200NSReXYXY10

4

RFr150Fa 2500150100050RFr100Fa 2500100100050SR1

=447N，S2

2

2A/R=1447> R（已知條件：f=1，f=1.5，f=2，C'=122000N，e=0.35，X=0.4，Y=1.7，S 5SR1=8000 2

S

=2

S1Fa2Fa1=23531000+2000=3353N＞A1=S1A/R=2353=0.294<e 1A/R=3353> fL= ( h

1122000 60 提示：7036AC軸承：Cr=25.2kN,S=0.7R,eFAFReX=0.41，YFAFReX=1，Y6A1=S1A/F=2100=0.7> r1A/F=1600> r2P2=fp(X2Fr2Y2A2 f所以L= ( )t

( h 30208n=960r/minc=44400N，Y=1.6,e

FaFrePfpFrFaFre時(shí)。 16670CLh r，fP p2120mm

Fr60Fa30

4006030030R1vFrF2v400125 Ft60120060 R1HFt

1200600R2525R25252R2v2R2v2

125212521SR11

S

2613

FaS2300192492NFa1S1 Fa2S1Fa586300Fa1

0.31e，F(xiàn)a

2860.47P1fPfr11.21875P2fP0.4Fr21.6Fa21.20.46131.628616670Cr 44400所以Lh =

p

2250Fr11650NFr23500NKa1020N。已知e=0.65FaFre時(shí)，X=1,Y=0FaFre時(shí)，X=0.84,試計(jì)算兩軸承的當(dāng)量動(dòng)載荷p1和p2。S10.7Fr10.71650

8S20.7Fr20.73500S1Ka115510202175Fa1S2Ka245010201430NFa2S22450N(2)Fa11430e,Fa224500.7 受軸向載荷F、 （內(nèi)部軸向力FFR,FRe時(shí) 2YA9RFr50Fa28=3805014628 R2vFrR1v380149 Ft50113050 R2HFtR1H1130565R1v2R1v2R2v2R2v2 Fr1

149214925292

Fr

2

S

2FS2Fa555146701NFA1FS2Fa701NFA2FS2555NPX0.41Y0.87e0.68，軸承的額定動(dòng)載荷C48000Nf1.2，工n650rmin，正常工作溫度。P（1）RFrL6600 R2FrR166003300（2）S10.68R12244NS20.68R2S1Fa673210007732NA1S2FA7732N，A2S2（3）A17732e A267320.68e P1fP(X1R1Y1A1)1.2(0.433000.877732)9696NP2fPR21.2990011880N（4）

(ftCP

60

(148000)3hL'104小時(shí)，能否用7310AC代替30310型軸承？(13h軸承型載荷載向力efARARXYXY10S10.68R10.684000S20.68R20.685500S1Fa272015004200NA1S1A2S1FaA127200.68e A242200.767e P1fPR11.24000P2fP(X2R2Y2A2)1.2(0.4155000.874220)L

(ftCP

60

(158015)315078h104

11、2fPf動(dòng)載荷 （由手冊(cè)知：e0.36，F(xiàn)aFre時(shí)，X0.4，Y1.71

SFr1

2

SFr

2

S1Fa588300A1S1588N，A2S1Fa

5880.294

0.888P2fP(X1R1Y2A2)1(0.410001.7888)eXYXY10 （2）S1=R1=2532Y S2=R2

3.4S1+300=374>A1=St=74N，A2=S1

=0.29<A1=

=0.29< R R P1=fp×（X2R2+ 15800

×(

)t

×(

)3ASSA1P2S 33P4P×100R1=R3= R2=R4=180S1=S3=0.4S2=S4=0.4圖（a）中：S2Fa=532.2+500=1032.2>A2=S2=533.2N圖（b）中：S2Fa666.8+500=1166.8NA2=S2+Fa=1166.8生軸向力S=0.7R，n=1450r/min，e=0.71，L F×L—F

R1H+R2H=2

R1=R1v2+R1H2=12002+7502R2=R2v2+R2H2=8002+7502S2+Fa=768+800=1568N> 2 2

1415

R=1097P1fp×（XR1YA）=1.5(0.41×14150.871568)= ×( （4）frfr ×(

)t 1×

)3=h 所受的徑向負(fù)荷：R1=8000N，R2=5000NF1=1000N，f1=1,載荷系數(shù)f2=1.2，試求：（13分）注：1）按手冊(cè)查得：軸承的徑向基本額定動(dòng)負(fù)荷Ct=71200Ne=0.3；2）軸承內(nèi)部軸向力計(jì)算公式為SR/2YARe時(shí)，X=1，Y=0；ARe106CfLh

r

（1）

R1

2S

50002

S1FA210510003105NA1S1 A2S1FA21051000（2）A121050.263e A23105e P1fpX1R1Y1A11.28000P2fp(X2R2Y2A2)1.2(0.450000.93105)9479106Cf 24800Lh t ( )360nP 60

6Cft

Lh2

P 2 u2100NK1000N軸承接觸角25S0.63Fr。軸承在常溫下工作，載荷系數(shù)fp1.5，試求軸承Ⅰ、Ⅱ的當(dāng)量動(dòng)載荷（10u分Fa/FrFa/FreXYXY10Ⅰ S10.63Fr10.631200756NS20.63Fr20.632100S2Ku132310002323NFa2S21323N，F(xiàn)a1S2Ku Fa213230.63 P1fpX1Fr1Y1Fa11.5(0.4112000.872323P2fpFr21.5210018．某軸系齒輪受力如圖所示，已知選用軸承型號(hào)為30206Cr24800Ne=0.36,Y=1.7,X=0.4(S=R/2Ydm60mm，圓周力Ft1200NFr400NFa160Nn=600r/min

Fr60Fa304006016030 R2vFrR1v400160

Ft60120060 R2HFtR1H120060016021602R2

560256021SR11

183S

218852

S2Fa554160714NA2S2554N,A1S2F2A1714A2

0.294P1fpX1R1Y1A11.5(0.46211.7714)P2fpR21.51885106Cf 24800Lh t ( )360nP 60 S1R1/2Y3200/21.6S

1600

FaFa1Fa2800NS2Fa5008001300NA1S2Fa1300N,A2S2A11300 A2

0.31 所以P1fpX1R1Y1A10.432001.61300P2fpR2

一懸臂主動(dòng)圓錐齒輪．在、處采用一對(duì)角接觸球軸承(向心推力軸承)，見示意圖。向載荷R F(ll) r

1600120640

16004064050l Ft(l1l2)4750120l RHR1

22475040 R2 S10.7R15180NS20.7R2S2Fa16866402362NS1A1S15180NAC代表接觸角。＝2512代表軸承內(nèi)徑為307（2）S10.7Fr10.740002800NS20.7Fr20.72000S1Fa28001000Fa1S1 Fa2S1Fa fCL

P

所以軸承壽命是原來的12

18

750rminL'7200hf

1.1hhe1.14,Ae,X0.35,YRA X1,YR1212S2R11000NS2R2FA1S2FA2420020005002700NA2S22000NA127002.7 A2

20001.1(0.3510000.572700)2078NP2fPR21.120002200N所以C 作用在兩軸承上的徑向力F1000NF2000NS1.14F試計(jì)算兩軸承的軸向 軸承的的基本額定動(dòng)載荷

63.0KNS

Fre,X1,Y0FreX0.4,Y1.6nⅠⅠ ndzsmn

234

F2T1289054 FFtan1871tan15501NS11.14F1.1410001140NS21.14F1.1420002280NS2F2Fs228010005012879NA2S2A1S2F2FsF2500NFu5000N；徑向力Fr2250NFr31800NFra750NFzs1200N（fd1.2fr1.0）附30208軸承的性能和計(jì)算用參數(shù)；

(1800250750)100120050RBVFr3RAVFr21800350250

Fr3100Fr230050001002500300 RAHFr3Fr2RBH500025006250RA R B

1298NSRA

2

S

63642

Fx2Fx3SB120075019891539AA AA1539e AB1989e PAfP(XARAYAAA)1.2(0.412981.61539)PHfP(XBRBYBAB)1.26364 fC 6300010 所以L (t) ( 25207h 10 60 15，分度圓直徑d120mm，軸傳遞的轉(zhuǎn)矩T19104Nmm，軸的轉(zhuǎn)速n11440r/min,fp1.1，若軸承的額定動(dòng)載荷C28.8KNA/A/RA/ReSXYXY10I 219Ft 1

FrFttann/cos3167tan20/cos151193FaFttan3167tan15849II Fr90Fa6011939084960314 Fr90Fa6011939084960880

1F1584

2 231423142R2

161588028802S10.7R11131Ｎ,S20.7R21268S1Fa11318491980A1S11131Ｎ，A2S1Fa1980A111310.7e，A21980e P1fpX1R1Y1A11.116151777P2fp(X2R2Y2A2)1.1(0.4118120.851980)2669

ftC

128800Lh60n(P

60

)14542t<105℃，要求使用壽命fp

t<105℃ft對(duì)于球軸承，壽命指數(shù)3L

(ftC

(125500)36782h

60

1由載荷平衡得，fp1。

fC對(duì)于圓柱滾軸承，壽命指數(shù)

(

Cft

3)10fp

60200徑向基本額定動(dòng)載荷Cr35200Nh

fpft1

ftC

135200P軸承壽命LN60n(fPP

( 605000 12394

10596hLh40000h30311（通過R15000NR24000NFae900Nn=960r/minft1fp1.033eXYXY1010 R15000