13_Slidingcontactbearings

43
 13-1 Lecture 13 Sliding Contact Bearings 13-2 Outline General Characteristics of Sliding Contact Bearings Typical Materials of Sliding Contact Bearing Gib Design Configurations for Sliding Contact Rotary Bearings Configurations for Sliding Contact Linear Bearings

Transcript of 13_Slidingcontactbearings

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13-1

Lecture 13

Sliding Contact Bearings

13-2

Outline

• General Characteristics of Sliding ContactBearings

• Typical Materials of Sliding ContactBearing

• Gib Design

• Configurations for Sliding Contact RotaryBearings

• Configurations for Sliding Contact LinearBearings

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13-3

Straight Talk on Ways

• Three basic types of ways exist: plain sliding

(sliding contact bearing), rolling elementand hydrostatic ways.

• In this design, the moving surfaces slideagainst each other assisted by a layer of lubrication which, when operating correctly,actually produces a hydro-dynamic bearing.

• That is a bearing which guides on acontrolled layer of lubrication created bymotion.

13-4

General Characteristics of Sliding

Contact Bearings• Sliding contact bearings are the oldest, simplest, least

expensive bearing technology, and they still have a widerange of applications, from construction machinery to

machines with atomic resolution.• Sliding contact bearings utilize a variety of different typesof lubricants between various interface materials.Lubricants range from light oil to grease to a solidlubricant such as graphite or a PTFE polymer. Becausethey often distribute loads over a large area, contactstresses and space requirements are often low whilestiffness and damping are usually high.

• They are very robust and reliable.• They are speed limited and have friction-induced servolimits.

• They are economical and for many applications will neverbe replaced.

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13-5

General Characteristics of Sliding

Contact Bearings

13-6

Advantages of Sliding Contact

Bearing• Have a good resistance to wear, fatigue and corrosion

• Have sufficient strength to support the load

• Have a fairly high melting point to reduce the tendency for

creep in use• Have suitable thermal properties to enable heat to be

conducted away

• As metal to metal contact will be unavoidable in service thematerial should be selected to minimize seizure, fretting(corrosion), scoring and welding

• The bearing should be tolerant to dirt and foreign matter-e.g. soft surface

• Should be tolerant to misalignment

• Should be compatible to lubricant used- e.g should notcorrode if water is used

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13-7

ExcellentExcellentFairFair100140-NoGlacier Du

ExcellentExcellentFairFair280140-YesGlacier DX

ExcellentExcellentFairGood25028+300-400YesSilver (Overplated)

ExcellentExcellentFairGood028+200YesAluminium Alloy

(20% Sn)

ExcellentExcellentFairFair12028+200-300YesAluminium Alloy

(6% Sn)

ExcellentGoodPoorPoor250+28+300-400YesTin Bronze

GoodFairFairFair23020-28300YesLead Bronze

FairPoorGoodExcellent15010-17300YesCopper Lead

Overplated

FairPoorFairFair17510-20200-250YesCopper Lead

FairPoorGoodExcellent25010-14230 or lessYesCadmium Base

PoorFairExcellentExcellent1505,5 - 8,3150 or lessYesLead Based

Babbit

PoorExcellentExcellentExcellent1505,5 - 10150 or lessYesTin Based Babbit

°CMpaBrinell No

Fatigue

Strength

Corrosion

ResistanceComformabilityCompatability

Max. Op.

Temp

Load carrying

Capacity

Min. Shaft

HardnessLubrication

NeededMaterial

Notes:

1.Temperatures are in practice subject to lubrication limitations.

2.Any bearing not lubricate with thick film lubrication will be subject to significant wear related to loading and type of 

motion...

3.Glacier DX consists of three bonded layers: a steel backing strip and a sintered porous bronze matrix, impregnated and

overlaid with a pigmented acetal copolymer bearing material.

4.Glacier DU consists of three bonded layers: a steel backing strip and a porous bronze matrix, impregnated and overlaid

with the PTFE/lead bearing material.

Source: http://www.roymech.co.uk/Useful_Tables/Drive/Plain_Bearings.html 

13-8

Dynamic Stiffness

• Many consider plain guides superior because of their highdynamic stiffness.

• In simple terms, dynamic stiffness equals static stiffness

times damping.• Plain slides, due to their long surface areas and oil film

lubrication, develop much higher damping than rollingelement bearings, which have very little surface area.

• Rolling element bearings do possess a high static stiffness.Taking a high static stiffness times a low damping factorresults in low dynamic stiffness.

• Plain slides, on the other hand, have a high static stiffness

and a higher damping, thus resulting in a much higherdynamic stiffness.

• Plain slide ways experience speed limitations due to theirhydrodynamic nature.

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13-9

Dynamic Stiffness

• The oil in the small gaps between the bearing surfaces actslike the oil in a shock absorber, and the small gap between

the surfaces acts like the small hole that restricts oil flow inthe shock absorber.

• This viscous shear resistance is very significant when youconsider the surface area of the bearing and the small gap.

• Another disadvantage of plain slides is that the at-restcontact occurs between the bearing surfaces. This causes astatic friction higher than the dynamic friction once thebearing surfaces generate an oil film during motion.

• The difference between static and dynamic coefficient of friction results in the phenomenon referred to as "stick-slip", and can make it difficult to position plain slidesaccurately when the application requires very smallmotions.

13-10

General Characteristics Sliding

Contact Bearings

• Stiffness of various sliding contact bearings lubricated withlight oil and after wear-in. (After Dolbey and Bell.)

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13-11

General Characteristics Sliding

Contact Bearings• Vibration and shock resistance

 Excellent.

 Matched only by hydrostatic and hydrodynamic bearings.

• Damping capability Excellent normal to direction of motion due to squeeze film damping.

 Matched only by hydrostatic and hydrodynamic bearings.

 High along direction of motion.

 Predict it using squeeze film damping theory.

• Friction Static friction never equals dynamic friction.

 Most data is supplied for speed ranges from 10-6  m/s and 0.1 m/s, butwhat is important is the friction about at 0 m/s!

Stiction (Stick-Slip): when static μ is greater than dynamic μ , cause stick-slip which causes position errors.

13-12

Boundary Lubrication

• Friction initially high, then lower, then increases(viscous effects): Stribeck curve:

Source: http://www.bardyne.com/Documents/B3samp01.pdf 

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13-13

Boundary Lubrication

• Boundary lubrication is lubrication by a liquid

under conditions where the solid surfaces are soclose together that appreciable contact between

opposing asperities is possible.

• The friction and wear in boundary lubrication are

determined predominantly by interaction between

the solids and between the solids and the liquid.

• The bulk flow properties of the liquid play little or

no part in the friction and wear behavior.

13-14

General Characteristics Sliding

Contact Bearings

• Static friction is always greater than

dynamic friction.

• This effects the system’s controllability.

• With linear scales, as opposed to an encoder

on a ballscrew, dimples will appear at

velocity crossovers.

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13-15

General Characteristics Sliding

Contact Bearings

• Thermal performance

 High friction coefficient generates heat.The bearings are so stiff, that when thermal errors (e.g.,

bowing), high points are created which wear and crash the

bearing.

 Heat changes oil viscosity.

 Large surface area efficiently transmits heat.

 In extreme cases, consider using a thermocentric design.

Expansion in one direction relieves expansion in another

direction.

13-16

General Characteristics Sliding

Contact Bearings

• Environmental sensitiveness

 Particles embed themselves in softer surface or roll out.

Generally very tolerant of foreign matter.

Water absorption can be dealt with the use of a sealant.

• Seal-ability

Wiper seals are often sufficient and easily fitted.

 Don’t tempt fate, use way covers or bellows if possible.

• Size and configuration

Thin profile.Virtually any configuration possible.

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13-17

General Characteristics Sliding

Contact Bearings• Support equipment

 Automatic lubricator needed to periodically lubricate.

Grooves are required to distribute the lubricant:

13-18

General Characteristics Sliding

Contact Bearings

Scraped surfaces hold pockets of oil and are

 optimal for lubrication.

Grinding with a cup wheel can also create aneffective cross-hatch pattern.

• Varying fluid resistances can cause

straightness errors to be a function of 

lubricator cycle.

Controller can signal lubricator when machine isidling.

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13-19

Scraping Procedure in Sliding Way

Source: http://www.moglice.com/newsite/pages/straighttalk.html 

13-20

Scraping Procedure in Sliding Way

Source: http://www.moglice.com/newsite/pages/straighttalk.html 

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13-21

Scraping Procedure in Sliding Way

Source: http://www.moglice.com/newsite/pages/straighttalk.html 

13-22

General Characteristics of Sliding

Bearing

• Maintenance

Generally requires periodic lubrication.

Lubricators periodically send a squirt of oil that can

cause a displacement if design is not done carefully.

Differential flow to different bearings will cause a

differential displacement.

 Instrument grade bearings can often be run dry.

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13-23

General Characteristics of Sliding

Bearing

• Material Compatibility

Sliding contact bearings have high stiffness to resist cutting forces

  but use low preloads to minimize starting forces: hence a small  amount of differentia]   thermal growth between bearing components can lead to loss of preload  and in some cases opening of a bearing gap.

 Maintains preload in the presence of uniform temperature changes

The surface finish of the interface components is very crucial to  proper wear-in and long-term life. In general, one wants a surface finish on the order of 0.1-0.5 μ m with a random pattern on the hard 

  surface the bearing rides on. This provides fine grooves in which alubricant can be trapped.

 Rougher Finishes tend to cause the asperities to drag like grappling  hooks, and finer surfaces cannot support a lubricating layer. The better the surface finish of the bearing material, the less time that is needed to wear-in the bearing and the less adjustment that is needed  after wear-in .

13-24

General Characteristics of Sliding

Bearing

• Required Life

  A review of various manufacturers’ catalogs shows that when properly lubricated and  not overloaded  , after wear-in sliding bearings

 may wear at a rate of about 10-11

 m/meter of travel  . Some   PTFE bearings  that ride on surfaces with nanometer-level 

 surface finishes (so they are nanobrading) are thought to build up a film on the bearing way which transfers back and forth between the bearing pad, leading to essentially zero wear.

  It used to be that machines were designed for a life of 5-10 years ,with the intent that they could then be rebuilt over and over. It alsoused to be that sliding contact bearings often had to be hand scraped  ,which made them expensive  , but modem accurate surface grinders

  make it possible to, in many instances, just assemble ground  components and attain reasonable repeatability (on the order of  5-10μ m ) after wear-in and readjustment of the gibs.

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13-25

General Characteristics of Sliding

Bearing• Availability

  Modular sliding contact bearings or materials for custom

 manufacture are among the easiest items to procure.• Designability

Sliding contact bearings influence the design of a machine by often  requiring the use of a gib and an automatic lubrication system. In general, sliding contact bearings are very easy to design.

• Manufacturability The comments for designability apply here as well.

• Cost

The cost of sliding contact bearing  materials   themselves are negligible  , and the cost of an  automatic lubrication system is moderate . The principal cost associated with precision sliding contact bearings is that of attaining the desired accuracy and surface finish  of the bearings and the surface they slide on. For example, it also takes considerable skill to make a tapered gib.

13-26

General Characteristics of Sliding

Bearing

• Replicated bearings

Only the replication master needs to be accurately finished.

An exact fit is obtained, so gibs are usually not needed.

The machine is easily rebuilt by casting a bearing.Replicated bearings generally do not have to be hand finished.

Care must be taken to manage the   heat generated   during the cure process or else the system may harden in a warped state

Part and master should have same thermal time constant to preventgradients and warping.

 Replicants typically shrink about 0.2-0.3%, which is often referred to as "negligible" (e.g., 3mm*0.002 = 6 μ m).

The resin should be degassed before injection. Several manufacturing applications with replicated bearings are

 presented here to illustrate the technique.

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13-27

Plastic Materials for Sliding

Contact Bearings

13-28

Characteristics of Plastic Bearings

• Advantages Self-lubricating

 Low wear rates

  Relatively high performance rating (PV) among sleeve bearing materials

  Bearing O.D.’s compatible with standard sintered bronze sizes forupgrading existing equipment

  Kinetic and static coefficient of friction virtually the same under heavy loads

 Extremely low coefficient of friction

 Lightweight

 Ability to conform under load 

 Resistance to chemicals• The design characteristics of plastic and nonmetallic

bearings bear both similarities and differences relative tothose of porous-metal bearings.

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13-29

Wear Rate, Coefficient of Friction

and Limiting PV Data

Source: http://www.qbcbearings.com

13-30

PV and Load Capacities of Different

Plastic Materials

Source: http://www.qbcbearings.com

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13-31

Properties of Bearing Materials

Source: http://www.qbcbearings.com

13-32

The

coefficient

of friction

varies with

the bearing

unit load.

Source: http://www.qbcbearings.com

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13-33

Plastic Bearings

Example

• A shaft of 1/2” in diameter is supported by twoplastic bearings. The force equals 10 lbs. The bearing

length is 3/4”. The shaft rotates at 750 rpm.

• From the tables showing the maximum PV values the

proper material can be chosen.

psifpm261975.0

75010262.0rpmF262.0⋅=

××=

⋅⋅=

lPV 

13-34

The effect of lubrication on the

factor of a particular material.

(Oilon PV–80)

Source: http://www.qbcbearings.com

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13-35

Typical Materials of Sliding Contact

Bearing

• Turcite®

 Ethylene-chlorotrifluoroethlyene [ECTFE] 

• Glacier DU®

• Castable Bearing Material

 Zanite®

 Moglice®

13-36

Turcite® Bearing Materials

• Turcite® is a high-quality, internally lubricatedmaterial that is ideal for applications withdemanding wear and friction requirements.

• Its low water absorption enables componentsmade with Turcite® to retain their integrity overlong periods.

• This material comes in two grades.Turcite®   A is a resilient formulation that performs well 

under vibratory and dynamic loading.

Turcite®   X has minimal hygroscopic characteristics and low thermal expansion properties, resulting in a

 structurally stable material.

  Both grades can be easily machined from rod and tube stock.

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13-37

Properties of Turcite® sliding bearing material. (Courtesy of 

W.S. Shamban & Co.)

13-38

Characteristics of Turcite®

• Advantages

 Excellent physical and mechanical  properties

Self-lubricating with superior bearing performanceGood dimensional stability at operating conditions

Superior resistance to moisture absorption

 High wear resistance

 Low coefficient of friction

Outstanding chemical and corrosion resistance

 Light weight and reduces noise chatter

Turcite® is oven annealed to reduce internal stresses

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13-39

Characteristics of Turcite®

• MATERIAL PROPERTIES

Turcite® TA Turcite® TX

Tensile Strength @ Break ......... 7,600 psi 5,900 psi

  Elongation @ Break .................. 15% 19%

 Heat Deflection Temp. .............. 205°  F 203° F

 Max. Continuous Service Temp..180°  F 180° F

 Intermittent Service Temp. ........ 225°  F 225° F

 Linear Coef. of Thermal Exp…. 5.2 in/in°  Fx10-5 5.2 in/in° Fx10-5

Coef. of Friction (Non-Lub)....... 0.30 0.22

Wear Factor .............................. 43 in/(psi*fpm*hr) 20 in/(psi*fpm*hr)  Limiting PV Value ............…... 7,500 psi-fpm 42,000 psi-fpm

Water Absorption ............….. .20% 20%

Color of Material ..................... Turquoise Red 

13-40

Typical Applications of Turcite®

• Cams and cam followers

• Bearings

• Rollers

• Valve seats

• Insulators

• Liners

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13-41

DU® Bearing Material

• Structure

Steel + porous bronze sinter + PTFE + Pb

13-42

DU® Bearing Material• Usage: DryGoodOil lubricatedGoodGrease lubricatedFairWater

lubricatedFairProcess fluid lubricatedFairAvailability: Ex stock:

• Standard cylindrical bushes, flanged bushes, thrust washers, flanged washers,strip To order: Non-standard parts

• Features:   Dry bearing material with good wear and friction performance over, speed and 

 temperature conditions

 DU also performs well with lubrication

 Available from stock in a wide range of standard sizes

• Possible Applications: Automotive:

McPherson struts and shock absorbers, door, bonnet and tailgate hinges, steering columns,clutches, gearbox selector forks guides, wiper arms, power steering pumps, pedal bushes,ABS equipment, etc.

•  Industrial:   Lifting equipment, hydraulic pumps and motors, pneumatic equipment, medical equipment, textile machinery, agricultural equipment, scientific equipment, drying ovens, office equipment, etc.

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13-43

Properties of Glacier DU® bearing material available as

bushings or in sheet form. (Courtesy of The Glacier Metal

Company Ltd.)

Reference: http://www.ggbearings.com/history.asp

Glacier Garlock Bearings (GGB)

13-44

Glacier DU® Bearing Material

• The DU® Bearing is the ultimate in oilless

bearing design, using lead and

tetrafluoroethylene (Teflon) havingexcellent wear resistance which optimizes

metal properties such as strength and

dimensional stability.

• Coefficients of  static and dynamics friction

are so small that the bearing surfaces run

smoothly without lubrication, while at the

same time eliminating sticking and slipping.

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13-45

Glacier DU® Bearing Material

• The bearing surfaces have such low

coefficients of static and dynamic frictionthat they require no lubrication.

• The operating temperature range extends

from -200 to 280℃.

• DU® bearing operate smoothly under loads

which exert high levels of resistance, impact,

intermittent motion, and thrust.

• DU® bearing are free from electrostatic

induction. When installed, each DU®

13-46

Glacier DU® Bearing Material

• Glacier Garlock is one of the world's primary sources forplain industrial bearings and bearing materials. Coveringall manner of industrial, aerospace and specialist

technologies, Glacier has a long established history in thisfield and provides an enormous range of products to suitmany applications.

• The range includes bearing materials designed to operatedry, under conditions of marginal lubrication, andcontinuously at temperatures up to 280°C. None of materials rely on the build-up of a hydrodynamic oil filmto operate correctly, and they are particularly suitable foroscillating, frequent stop/start, or high-load/low-speedconditions.

• The materials do not absorb water or swell in the presenceof moisture, so there is little danger of seizure(鎖住) in ahumid atmosphere due to reduction in clearance.

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13-47

Castable Bearing Material

13-48

The Frictional Characteristics of a

Castable Bearing Material

• One surface must be very rough, while the othersurface should be smooth and covered with moldrelease. To prevent porosity, the replicant must be

thoroughly vacuum degassed before application.• Replication greatly decreases the cost of bearing

surfaces for the following reasons:Only the replication master needs to be accurately

 finished.

 An exact Fit is obtained, so gibs are not needed.

The machine is easily rebuilt.

  Replicated bearings are less sensitive to dirt and they generally do not have to be scraped.

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13-49

General Characteristics of Castable

Bearing Material• Speed and acceleration limits

< 15 m/min (600 ipm) and 0.1 g.

• Applied loads

 Large surface area allows for high load capacity. Virtually insensitive to crashes.

• Accuracy  Axial: 5 - 10 microns depending on the drive system.

 Lateral (straightness): 0.1 - 10 microns depending on the rails.

Special designs can yield nanometer accuracy.

• Repeatability  Axial: 2 - 10 microns depending on the drive system.

 Lateral (straightness): 0.1 - 10 microns depending on the rails.

• Resolution  Axial: 1 - 10 microns depending on the drive system.

• Preload  5-10% of the allowable load.

• Stiffness  Easily made many times greater than other components in the machine.

13-50

Properties of a typical castable high lubricity polymer.

(Courtesy of ITW-Philadelphia Resins.)

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13-51

Zanite® Polymer Composite

• Zanite® polymer composite is a blend of 

pure silicon dioxide ceramic (99.8%) quartzaggregate, specially formulated high

strength epoxy resin and selected additives.

• The natural elliptical shape of quartz is

ideal for casting intricate structures.

13-52

Zanite® Polymer Composite

• Zanite® polymer composite is a formulated compositematerial designed for casting machine bases and otherstructural components. It is a combination of  epoxy,

quartz aggregate and selected additives.• Zanite® replaces traditional materials, such as iron,

aluminum and steel, used in the manufacture of machinebases. Castings can be manufactured to finished tolerances,and the resulting item outperforms alternative materials.Zanite® provides many advantages over metals.

• Zanite® applications include a variety of other special

equipment and machinery where vibration damping,chemical resistance and design flexibility is a consideration.

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13-53

The Properties of Zanite®

Class A (Class I) – 25 or under flame spread per ASTM E84Flame spread index

2.0 x 10-5 / °C10.8 x 10-6 in/in°FThermal expansion

0.01%0.01%Water absorption

0.191 W/(cm2.°C/cm)11.09 Btu/(h.ft2.°F/ft)Thermal conductivity

14.5 N/mm22,100 psiTensile strength

-45°C to 104°C-50°F to 220°FTemperature limits

0.250.25Poisson ratio

31 KN/mm24.5 x 106 psiModulus of elasticity

26 N/mm23,800 psiFlexure strength

2.3 kg/dm30.084 lb/in3Density

137 N/mm220,000 psiCompressive strength

ExcellentExcellentChemical resistance

960J/kg°C0.23BTU/Lb°FSpecific heat

0.1570.157Damping ratio

S.I. (Metric)U.S. UnitsProperties

13-54

The Advantages of Zanite®

• Vibration: Zanite® dampens vibration

approximately 10 times better than cast iron

and 45 times better than steel due to itshigher dynamic stiffness. Reduction of 

vibration means improved system

performance and tool life. Zanite® also

deadens sound.

• Flexibility: Custom linear ways, hydraulic

fluid tanks, threaded inserts, cutting fluid

and conduit piping can all be integrated into

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13-55

The Advantages of Zanite®

• Cost: Zanite® is cast to finish tolerances

while cast iron requires secondarymachining. Zanite® polymer bases cost

significantly less than metallic castings

when compared to finished, ready to

assemble parts. In addition, inventory costs

are significantly reduced because of theshort lead times.

• Zanite® is environmentally friendly. Zanite®

bases are created using a cold casting

13-56

The Advantages of Zanite®

• Zanite® replaces traditional materials such as

iron, aluminum, and steel used in the manufacture

of machine bases. Castings are manufactured tofinish tolerances, and the resulting base out-

performs alternative material in many areas.

• Zanite® polymer composite is accepted by design

engineers throughout the world as an alternative

material due to its excellent design flexibility,

mechanical properties, and short production time.

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13-57

The Advantages of Zanite®

13-58

Typical Industry Use of Zanite®

• Filled Structures:

 Zanite®   Polymer Composite Filled Weldments

 and Iron Castings

• Standard and Custom Designed Inserts

• Molds and Tooling

• Machine Tool

• MedicalTypical applications include: frame supports for

 MRI machines, X-ray equipment, CAT-Scanners,

 and blood testing & analysis machines.

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13-59

13-60

Moglice® Bearing Material

• The coefficient of friction for the

combination C.I./Moglice® is only approx.

1/7 of the combination C.I/ steel.

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13-61

Properties of Moglice® high lubricity castable bearing

replication material. (Courtesy of "DIAMANT" Metallplastic

GmbH.)

13-62

Frictional properties of Moglice® castable bearing material:

contact pressure 5 daN/cm2 with mineral oil having aviscosity of 25 centistokes at 50℃. (Courtesy of 

"DIAMANT" Metallplastic GmbH.)

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13-63

The Benefits of Moglice®

• Moulded in place

• Applicable without special knowledge,

• With highest precision

• Just putty, pour or inject - ready! (After

cure)

13-64

Fields of Application of Moglice®

• Round guideways,

bushings

• Bearings of any kindfor large machine tools

• Hydraulic pistons

• Taper gibs

• Column guidings

• Carriage slideways

• Tooth racks

• Ram guideways

• Hydrostatic guideways

• Support guideways

• Aerostatic guideways

• Quill bushings

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Use of Castable Bearings in RepRap

http://reprap.blogspot.com/2006/09/use-of-castable-bearings-in-reprap_04.html

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Gib Design

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Gib Design

• In order to allow the preload to be adjusted easily,

particularly after the wear-in period has beencompleted, a machine element called a gib shouldbe used with linear sliding contact bearings.

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Gib Design

• Straight gibs are preloaded using setscrews along theirlength or with a roller.

• Tapered gibs are preloaded by a single screw that pushes

them along a matching taper, thereby creating uniformlateral displacement along the length of the gibs.

• The former is easy to manufacture, while the latterrequires more complicated machine setups andconsiderable skill if it is to be hand scraped.

• Still, tapered gibs provide the highest degree of stiffness.Note that gibs for dovetails that are locked in place with

retaining bolts can provide twice the stiffness tooverturning moments than do tapered gibs.

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Gib Design

• For the T carriage designshown in Figure 8.2.5, a

straight gib is used to controlthe lateral clearance betweenthe saddle and rail.

• Note that lateral motion isrestricted by one rail only. Touse both rails for lateralrestraint would overconstrainthe system, increase thelikelihood that Poissonexpansion of the bolted rails

would create straighinesserrors, and increasemanufacturing costsconsiderably.

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Gib Design

• The thickness tgib of the gib should be

chosen so that the deflection is one-half the

desired repeatabilityδ of the system:

3 / 1

max

32⎟⎟ ⎠

 ⎞⎜⎜⎝ 

⎛ =

 E 

Pabt gib

δ 

αη 

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Gib Design

For example, assume that a brass gib is used and E=110

GPa (16 x 106 psi),δ = 10-6 m, a =0.1 m, b = 0.05 m, Pmax=

0.5 Mpa (75 psi) andη= 0.3: then t = 0.0183 m (0.72 in).

13-72

Configurations of SlidingContact Rotary Bearing

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Configurations of Sliding Contact

Rotary Bearing

• Sliding contact rotary bearings are not often

used in precision machines because ballbearings are so inexpensive and easy to use.

• However, sliding contact bearings may beneeded where high loads may beencountered, or extreme accuracyrequirements warrant lapping a shaft andsliding contact bearing to fit each otherperfectly.

13-74

Various Configurations for Sliding

Contact Rotary Bearings

Various configurations for rotary sliding contact modular bearings.

(Courtesy of Thomson Industries, Inc.)

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Jewel Bearing

• For very high precision applications, such as

instruments where the friction torque is to beminimized, one should consider using a jewelbearing (synthetic sapphire or ruby).

• The high surface finish, high compressive strength,high modulus, and chemical inertness of a jewelbearing usually ensures dimensional stability.

• These properties also allow jewel bearings to beused with a small-diameter or pointed shaft,thereby minimizing tare torque.

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Jewel Bearing

• The synthesizing process dates back to the early1900’s and has changed little since then.Aluminum ammonium sulfate is calcined at a

temperature between 1200°C and 1500°C.• The resulting alumina or corundum is fed as a

powder into an oxyhydrogen flame of about 2050°centigrade temperature.

• The powder melts and is crystallized on a ceramicpedestal to form a small, single crystal boule formwhich blanks are cut for the manufacture of various designs of jewel bearings and otherproducts.

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13-77

Synthetic Sapphire Properties

77.8 joules/deg. MoleHeat Capacity

0.086 cal/gmConductivity

5.3 x 10-6 (parallel to c-axis)

4.5 x 10-6 (perpendicular to c-axis)

Coefficient of 

Expansion0.15 against steelCoefficient of Friction

2,050 °CMelting Point

9 mohs

1800 Knoop parallel to c-axis

2200 Knoop perpendicular to c-axis

Hardness

Thermal0%Porosity

>1014 ohm-cm2Volume Resistivity0.28-0.33Poisson’s Ratio

average 11.5 (parallel to c-axis)

average 9.3 (perpendicular to c-axis)Dielectric Constant~60,000 psi (at approx. 25°C)Tensile Strength

480,000 v/cmDielectric Strength~100,000 psiFlexural Strength

Electrical50-55 x 106 psiYoung Modulus

(No-Ne) 0.008Birefringence300,000 psiCompressive Strength

No: 1.768(c-axis)Ne: 1.760(c-axis)Index of Refraction3.97 gm/cm3Density

OpticalMechanical

Al2O

3Chemical Formula

General Properties of Sapphire

Source: http://www.swissjewel.com/syntethic_sapphire_properties.htm

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Outstanding Advantages of 

Synthetic Sapphire Jewel Bearings

• High polish and low friction

• Hardness and Shock Resistance

• Miniature Size, Close Tolerances

• Low Cost, Long & Accurate Wear Life

• Resistance to Heat, Corrosion, Distortion

• Non-magnetic Properties

• High Dielectric Strength

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Standard jewel bearing designs. (Courtesy of Swiss Jewel Co.)

Jewel Bearing Designs

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Jewel Bearing• Ring Jewels serve as radical or sleeve bearings used with a

straight cylindrical shaft.

• Typical Applications: General Instrumentation, Flow Meters,Gauges, Indicators, Watches, Clocks, Potentiometers, Gyros,

Aircraft Instruments, Spacer, Insulator

Source: http://www.swissjewel.com/sapphire_ring_jewels.htm

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13-81

Configuration of Sliding

Contact Liner Bearing

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Closed Rectangular Liner Bearing

Configuration

• It is an overconstraineddesign, but if well made

and preloaded, it canprovide exceptionalstiffness and dampingcapability.

• Note that the fullwraparound design of the carriage means thatthe bearing rail issubject to bending loads.

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Open Rectangular (T) Linear

Bearing Configuration

• T configurations are the most common type of slidingbearing configuration seen in machine tools.

• It is overconstrained but provides very high stiffness. Wearamong the bearing surfaces is usually symmetric, soalignment of the carriage does not change much with wear.With careful design and manufacturing quality control,machines with 5 to 10 μm repeatability or better can bebuilt using this bearing design.

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Vee and Flat Linear Bearing Configuration

• The vee and flat is a true kinematic bearing configuration.

• A vee and flat supported carriage is generally preloaded bythe weight of the machine, so it is often acceleration andspeed limited.

•It is possible to preload a vee and flat supported carriagewith a friction drive roller, but then the preload force onthe bearings becomes af unction of carriage position.

• Vee and flat supported carriages are also prone to walkingproblems should the center of mass of the system changedramatically, as when a heavy part is put on one side of thecarriage.

• When the center of mass changes, the distance from the

axial motion guiding the vee to the center of mass changes:hence the distribution of frictional forces changes, whichcauses a yaw motion on the carriage.

• This causes the carriage to yaw differently when differentweights are applied at different positions.

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Double-Vee Linear Bearing

Configuration

• The double vee is quasi-kinematic: It is morekinematic than the dovetailbut not as kinematic as thevee and flat: however, it hasbeen found to be easier tomanufacture than a dovetail,and a carriage supported bytwin vees is less susceptible

to walking than is the veeand flat when heavy off-center loads are applied.