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1、 5.1 Types of Bearings 5.2 Uses and Characteristics of Sliding Bearings 5.3 Potential Failure ModesChapter 5 Sliding Bearings 5.1 Types of BearingsCFig.5.1 Various types of sliding bearings reciprocating, rotating or oscillating cylindrical members sliding in annular sleeves, disks sliding on mating
2、 disks.Fig.5.1 Various types of slidiChapter05-Sliding-Bearings-机械零件设计英文全套教案课件Chapter05-Sliding-Bearings-机械零件设计英文全套教案课件Chapter05-Sliding-Bearings-机械零件设计英文全套教案课件Candidate material should have: adequate strength, low elastic modulus, good ductility and low hardness, high thermal conductivity, and comp
3、atible thermal expansion coefficientsMaterials typically used: bronze bearing alloys, babbitt metal, sintered porous metals, and self-lubricating nonmetallic materials (teflon, nylon, acetal, phenolic, or polycarbonate, thin silver layer plated on a higher-strength substrate, fluted rubber or other
4、elastomers5.4 Sliding Bearing MaterialsCandidate material should have 5.5 Boundary-Lubricated Bearing Design P = W / (dL) MPa P = load per unit of projected bearing area, V= surface velocity of journal relative to bearing surface, m/s TA = ambient air temperature, TB = bearing bore temperature, fM =
5、 coefficient of mixed-film friction 5.5 Boundary-Lubricated 1. Calculate the journal (shaft) diameter d 2. Find the resultant radial bearing load W 3. Select tentative materials for journal and sleeve4. Calculate sliding velocity V, and compare to Vmax from Table 5.1. 5. For selected materials find
6、limiting value (PV)max from Table 5.16. Using results of steps 4 and 5, calculate P and compare to Pmax 7. Using the result of step 6, and known values of W and d, calculate L8. Check if length/diameter ratios of the bearing configurations lie in the rangePreliminary Design Procedure for Boundary-Lu
7、bricated Sliding Bearing 1. Calculate the journal (shaf5.6 Hydrodynamic Bearing Design5.6.1 Lubricant PropertiesAbsolute viscosity is a measure of the internal shear resistance of a fluid. The derivative du/dy is the rate of shear, or the velocity gradint. In SI the units of are Pas.5.6 Hydrodynamic
8、 Bearing DesiAnother unit of dynamic viscosity poise (P) is the cgs unit of viscosity and is in dyne-seconds per square centimeter (dyns/cm2). When the viscosity is expressed in centipoises, it is designated by Z. The conversion from cgs units to SI units is 1 Pas = (10) -3 Z (cP) = 10 P = 103 cP ki
9、nematic viscosity To convert dynamic viscosity to kinematic viscosity: v = /One square centimeter per second is defined as a stoke (St). In SI the kinematic viscosity v has the unit of square meter per second (m2/s) and the conversion is v (m2/s) =10-6Zk (cSt) or 1 m2/s =104 St = 106 cStAnother unit
10、 of dynamic viscos Viscosities as a function of temperature for several SAE numbered oils Viscosities as a function of5.6.2 Petroffs Friction AnalysisDefined F1 = F/L the tangential friction force per unit bearing length 5.6.2 Petroffs Friction AnalyAssumptions used by Reynolds :1. The lubricant is
11、a Newtonian fluid2. Inertia forces produced by the moving fluid are negligible3. The lubricant is an incompressible fluid4. The lubricant viscosity is constant throughout the fluid film5. There is no pressure variation in the axial direction6. There is no lubricant flow in the axial direction 7. The
12、 film pressure is constant in the y-direction8. Lubricant particle velocity is a function of x and y only5.6.3 Hydrodynamic Lubrication Theory -Reynolds EquationAssumptions used by Reynolds :Schematic sketch showing relative position change of shaft in the sleeve, starting from rest and increasing t
13、o steady-state rotating speedSchematic sketch showing rel Reynolds Equation One-dimensional Two-dimensional Sommerfeld solution Reynolds Equation One-d The viscosity The load per unit of projected bearing area, PThe speed NThe bearing dimensions d, c, and L The coefficient of friction fThe temperatu
14、re rise The flow of oil QThe minimum film thickness h05.6.4 Design considerations in hydrodynamic journal bearings Two groups of variables in the design The viscosity 5.6.4 D To choose the bearing diameter and length, specify the surface roughness and clearance requirements between journal and sleev
15、e, and determine acceptable lubricant properties and flow rates that will assure support of specified design loads and minimize frictional drag. The final design specifications must also produce an acceptable design life without premature failure, while meeting cost, weight, and space envelope requi
16、rements.Basic objectives of the design To choose the bearing diame 5.6.5 Bearing Performance-A design example for full journal bearings (=360) Bearing Characteristic NumberTemperature risedimensionless temperature-rise 5.6.5 Bearing Performance-A Example: For a full journal bearing:SAE 30 lubricant
17、at T1=60C N = 30 rev/s W = 2.5 kNr=20 mmc=0.032 mmL=40mm The unit load is kPa Make a wild guess at the average temperature, say 70C. Entering Fig. 5.3 to the SAE 30 line, we find :=20 mPa s. From Eq.(5-14) for SExample: For a full journal beNow enter Fig. 5.6 with this value of S. The temperature ri
18、se variable is found to be T (var) = 16. Thus the temperature rise is Renter Fig. 5.3= 18 mPasFollowing the same procedure, we get S=0.135, T (var)=15.5, =18 mPas=16C Tav = 68CThen S= 0.135=16C, and Tav = 68CNow enter Fig. 5.6 with this v Minimum Film ThicknessSince L/d = 40/40 = 1From Fig. 5.7 with
19、 S = 0.135 and L/d = 1, we get and Since c=0.032 mm, thenh0 = 0.42(0.032) = 0.0134 mm Minimum Film ThicknessSince LRelationship between minimum film thickness and eccentricity ratioThe eccentricity ratio =e/c = 0.58,Then, the eccentricity ise=0.58(0.032) = 0.0186 mmSince h0= c - e , then if, e = 0 ,
20、 h0 = c;when h0=0 , e=c; Relationship between minimum fDetermination of the position of the minimum film thicknessWe can find the angular location of the minimum film thickness from the chart of Fig.5.9. = 53.Entering with S = 0.135 and L/d = 1 , we findDetermination of the position Coefficient of F
21、rictionBy entering Fig. 5.10 with S = 0.135 and L/d=1,we can find the friction variable to be Therefore the coefficient of friction isThe torque required to overcome friction isT=fWr=0.0056(2.5)(20)=0.28NmThe power lost in the bearing isW Coefficient of Fricti Lubricant FlowUsing the same data as be
22、fore, by entering Fig. 5.11 with S = 0.135 and l/d = 1 , we findTherefore, the total flow isQ = 4.28rcNl = 4.28(20) (0.032) (30) (40) = 3287 mm3/s Lubricant FlowUsing the saSide Leakage FlowFrom Fig. 5.12 we find the flow ratio to be Qs/Q =0.655. Qs=0.655Q=0.655(3287) = 2153 mm3/sTherefore the side
23、leakage is Side Leakage FlowFrom Fig. 5.15.6.6 Optimization Techniques(Design considerations)Select: grade of oil to be used, together with suitable values for P, N, r, c, and L. Bear in mind: the radial clearance c is difficult to hold accurate during manufacture, and it may increase because of wea
24、r. What is the effect of an entire range of radial clearances, expected in manufacture, and what will happen to the bearing performance if c increases because of wear? Answerby plotting curves of the performance as functions of the quantities over which the designer has control5.6.6 Optimization Techniques(If the clearance is too tight, the temperature will be too high and the minimum film thickness too low. High temperatures may cause the bearing to fail by fatigue. If the oil film is too thin, dirt particles may not pass without scoring or may embed
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