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Bearing (mechanical)

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Aball bearing

Abearingis amachine elementthat constrains relative motion to only the desired motion and reducesfrictionbetweenmoving parts.The design of the bearing may, for example, provide for freelinearmovement of the moving part or for freerotation around a fixed axis;or, it may prevent a motion by controlling thevectorsofnormal forcesthat bear on the moving parts. Most bearings facilitate the desired motion by minimizing friction. Bearings are classified broadly according to the type of operation, the motions allowed, or the directions of the loads (forces) applied to the parts.

The term "bearing" is derived from the verb "to bear";a bearing being a machine element that allows one part to bear (i.e., to support) another. The simplest bearings arebearing surfaces,cut or formed into a part, with varying degrees of control over the form, size,roughness,and location of the surface. Other bearings are separate devices installed into a machine or machine part. The most sophisticated bearings for the most demanding applications are very precise components; their manufacture requires some of the highest standards of current technology.

Types of Bearings

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Selecting the right bearing for a specific application requires understanding the various types of bearings and their unique characteristics. Bearings are designed to support different kinds of loads and operate under various conditions. Here, we will explore the most common bearing types and their primary applications.

Rolling element bearings, commonly known as ball and roller bearings, are widely used due to their ability to handle both radial and axial loads. They come in two main categories:

  1. Ball Bearings:These are the most prevalent type of rolling bearings. They use balls to maintain the separation between bearing races. Ball bearings are ideal for applications with lower load capacities, such as household appliances, automotive applications, and precision instruments.
  2. Roller Bearings:Unlike ball bearings, roller bearings use cylindrical rollers, which allow them to handle higher load capacities. There are several subtypes, including cylindrical roller bearings,tapered roller bearings,andspherical roller bearings.These are typically used inheavy machinery,conveyor beltrollers, andgearboxes.

Plain bearings, also known as sleeve or journal bearings, consist of a simple surface that supports the rotating shaft. They are preferred for their simplicity, cost-effectiveness, and reliability in high-load, low-speed applications. Common uses includeautomotive engines,turbines,andindustrial machinery.

Fluid bearings utilize a thin layer of fluid, such as oil or air, to support the load. The fluid layer reduces friction and wear, making them suitable for high-speed applications. They are commonly found inhard disk drives,turbines,and high-precision instruments.

Magnetic bearings support the load usingmagnetic fields,eliminating physical contact and thus friction and wear. They are ideal for applications requiring extremely high speeds and low friction, such as flywheelenergy storage systemsand advancedmedical devices.

Application-Specific Bearings

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Specialized bearings are designed for unique applications and conditions. These include:

  • Needle Bearings:With their small cylindrical rollers, needle bearings handle high radial loads in compact spaces. They are used in automotive transmissions and power tools.
  • Thrust Bearings:Designed to handle axial loads, thrust bearings are found in automotive steering systems and helicopter rotors.
  • Self-Aligning Bearings:These bearings can tolerate misalignment between the shaft and housing, making them ideal for agricultural machinery and textile equipment.

Understanding the different types of bearings and their applications is the first step in making an informed selection. Next, we will delve into the key factors to consider when choosing a bearing.[1]

History

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Tapered roller bearing
Drawing ofLeonardo da Vinci(1452–1519)Study of a ball bearing

It is sometimes assumed that the invention of the rolling bearing, in the form of wooden rollers supporting– or bearing –an object being moved, predates the invention of awheelrotating on aplain bearing;this underlies speculation that cultures such as the Ancient Egyptians used roller bearings in the form oftree trunksunder sleds. There is no evidence for this sequence of technological development.[2][1][3]: 31 The Egyptians' own drawings in the tomb ofDjehutihotepshow the process of moving massive stone blocks on sledges as using liquid-lubricated runners which would constitute plain bearings.[4][3]: 36 [5]: 710 There are also Egyptian drawings of plain bearings used withhand drills.[6]

Wheeled vehicles using plain bearingsemerged between about 5000 BC and 3000 BC.[3]: 15, 30, 37 

A recovered example of an early rolling-element bearing is a woodenball bearingsupporting a rotating table from the remains of theRomanNemi shipsinLake Nemi,Italy.The wrecks were dated to 40 BC.[7][8]

Leonardo da Vinciincorporated drawings of ball bearings in his design for a helicopter around the year 1500; this is the first recorded use of bearings in an aerospace design. However,Agostino Ramelliis the first to have published roller and thrust bearings sketches.[9]An issue with the ball and roller bearings is that the balls or rollers rub against each other, causing additional friction. This can be reduced by enclosing each individual ball or roller within a cage. The captured, or caged, ball bearing was originally described byGalileoin the 17th century.[10]

The first practical caged-roller bearing was invented in the mid-1740s byhorologistJohn Harrisonfor his H3 marine timekeeper. In this timepiece, the caged bearing was only used for a very limited oscillating motion, but later on, Harrison applied a similar bearing design with a true rotational movement in a contemporaneous regulator clock.[11][12]

The firstpatenton ball bearings was awarded toPhilip Vaughan,a British inventor andironmasterinCarmarthenin 1794. His was the first modern ball-bearing design, with the ball running along a groove in the axle assembly.[10][13]

Bearings played a pivotal role in the nascentIndustrial Revolution,allowing the new industrial machinery to operate efficiently. For example, they were used for holdingwheel and axleassemblies to greatly reduce friction compared to prior non-bearing designs.

EarlyTimkentapered roller bearingwith notched rollers

The first patent for a radial-style ball bearing was awarded toJules Suriray,a Parisian bicycle mechanic, on 3 August 1869. The bearings were then fitted to the winning bicycle ridden byJames Moorein the world's first bicycle road race,Paris-Rouen,in November 1869.[14]

In 1883,Friedrich Fischer,founder ofFAG,developed an approach for milling and grinding balls of equal size and exact roundness by means of a suitable production machine, which set the stage for the creation of an independent bearing industry. His hometownSchweinfurtlater became a world-leading center for ball bearing production.

Wingquist original patent
Wingquist original patent of self-aligning ball bearing

The modern, self-aligning design of ball bearing is attributed toSven Wingquistof theSKFball-bearing manufacturer in 1907 when he was awarded Swedish patent No. 25406 on its design.

Henry Timken,a 19th-century visionary and innovator in carriage manufacturing, patented the tapered roller bearing in 1898. The following year he formed a company to produce his innovation. Over a century, the company grew to make bearings of all types, including specialty steel bearings and an array of related products and services.

Erich Franke invented and patented thewire race bearingin 1934. His focus was on a bearing design with a cross-section as small as possible and which could be integrated into the enclosing design. After World War II, he founded with Gerhard Heydrich the company Franke & Heydrich KG (today Franke GmbH) to push the development and production of wire race bearings.

Richard Stribeck's extensive research[15][16]on ball bearing steels identified the metallurgy of the commonly used 100Cr6 (AISI 52100),[17]showing coefficient of friction as a function of pressure.

Designed in 1968 and later patented in 1972, Bishop-Wisecarver's co-founder Bud Wisecarver created vee groove bearing guide wheels, a type of linear motion bearing consisting of both an external and internal 90-degree vee angle.[18][better source needed]

In the early 1980s, Pacific Bearing's founder, Robert Schroeder, invented the first bi-material plain bearing that was interchangeable with linear ball bearings. This bearing had a metal shell (aluminum, steel or stainless steel) and a layer of Teflon-based material connected by a thin adhesive layer.[19]

Today's ball and roller bearings are used in many applications, which include a rotating component. Examples include ultra high-speed bearings in dental drills,aerospace bearingsin the Mars Rover, gearbox and wheel bearings on automobiles, flexure bearings in optical alignment systems, andair bearingsused incoordinate-measuring machines.

Design

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Motions

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Common motions permitted by bearings are:

  • Radial rotation, e.g. shaft rotation;
  • Linear motion, e.g. drawer;
  • Spherical rotation, e.g. ball and socket joint;
  • Hinge motion, e.g. door, elbow, knee.

Materials

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The first plain and rolling-element bearings werewood,closely followed bybronze.Over their history, bearings have been made of many materials, includingceramic,sapphire,glass,steel,bronze,and other metals. Plastic bearings made ofnylon,polyoxymethylene,polytetrafluoroethylene,andUHMWPE,among other materials, are also in use today.

Common bearing materials[20]
Bearing Material Attributes Trade-offs
Chrome Steel SAE 52100

Case Hardening Steel SAE 4118

  • Resistant to abrasive and adhesive wear due to hardness
  • High compression strength for good load carrying ability
  • Good fatigue life
  • Prone to corrosion
  • Small temperature range
Stainless Steel AISI 440C
  • High corrosion resistance
  • High temperature operation
  • Lower load carrying capacity compared to SAE 52100
  • Shorter fatigue life compated to SAE 52100
  • Higher cost
High Alloy Steel AISI M-50

High Alloy Steel M50NiL

  • High fatigue life
  • High speed operation
  • High temperature operation
  • High cost
Stainless Steel DD400
  • High corrosion resistance
  • Improved fatigue life over 440C
  • Lower wear due to better surface finish
  • Lower vibration and noise
  • Low load capacity
  • High cost
Ceramics: Silicon Nitride, Zirconia, Silicon Carbine
  • High corrosion resistance
  • Lightweight (allows for high speeds)
  • High heat resistance
  • High electrical resistance
  • Good wear resistance
  • Low friction
  • High-temperature operation
  • Low load capacity
  • High Cost
  • Sensitive to thermal shock
White Metals or Babbitt Metal (tin-based alloys with small amounts of copper, antimony, lead, and similar)
  • Low friction when paired with steel
  • High embeddability
  • High conformability
  • Good seizure resistance
  • Small temperature range
  • Low melting point which limits speed and heat
Copper-Lead Alloys
  • Higher load capacity than white metal
  • Higher fatigue resistance than white metal
  • High corrosion resistance
  • High seizure resistance
Bronze
  • Low friction
  • Low load capacity
Aluminum Alloys
  • High thermal conductivity
  • High compressive strength
Silver
  • High thermal conductivity
  • High fatigue resistance
  • High cost
Plastics (nylon, acetal, PTFE, phenolic, polyamide, high-density polyethylene, polycarbonate)
  • Low cost
  • High conformability
  • Good vibration absorption
  • High embeddability
  • Lightweight
  • Good corrosion resistance
  • Good wear resistance
  • Low thermal conductivity
  • Small temperature range
  • Light loads
  • Low speeds
  • High thermal expansion
  • Low yield point, which leads to creep
  • High adhesion to nonferrous metal shafts
Carbon Graphite
  • Good corrosion resistance
  • Wide temperature range
  • Poor embeddability

Watchmakers produce "jeweled" watches using sapphire plain bearings to reduce friction, thus allowing more precise timekeeping.

Even basic materials can have impressive durability. Wooden bearings, for instance, can still be seen today in old clocks or in water mills where the water provides cooling and lubrication.

Types

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Animation of ball bearing (Ideal figure without a cage). The inner ring rotates and the outer ring is stationary.

By far, the most common bearing is theplain bearing,a bearing that uses surfaces in rubbing contact, often with alubricantsuch as oil or graphite. A plain bearing may or may not be adiscretedevice. It may be nothing more than thebearing surfaceof a hole with a shaft passing through it, or of a planar surface thatbearsanother (in these cases, not a discrete device); or it may be a layer ofbearing metaleither fused to the substrate (semi-discrete) or in the form of a separable sleeve (discrete). With suitable lubrication, plain bearings often give acceptable accuracy, life, and friction at minimal cost. Therefore, they are very widely used.

However, there are many applications where a more suitable bearing can improve efficiency, accuracy, service intervals, reliability, speed of operation, size, weight, and costs of purchasing and operating machinery.

Thus, many types of bearings have varying shapes, materials, lubrication, principle of operation, and so on.

There are at least 6 common types of bearing,[21]each of which operates on a different principle:

The following table summarizes the notable characteristics of each of these bearing types.

Characteristics

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Friction

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Reducing friction in bearings is often important for efficiency, to reduce wear and to facilitate extended use at high speeds and to avoid overheating and premature failure of the bearing. Essentially, a bearing can reduce friction by virtue of its shape, by its material, or by introducing and containing a fluid between surfaces or by separating the surfaces with an electromagnetic field.

  • Shape: gains advantage usually by using spheres orrollers,or by forming flexure bearings.
  • Material: exploits the nature of the bearing material used. (An example would be using plastics that have low surface friction.)
  • Fluid: exploits the low viscosity of a layer of fluid, such as a lubricant or as a pressurized medium to keep the two solid parts from touching, or by reducing the normal force between them.
  • Fields: exploits electromagnetic fields, such as magnetic fields, to keep solid parts from touching.
  • Air pressure: exploits air pressure to keep solid parts from touching.

Combinations of these can even be employed within the same bearing. An example is where the cage is made of plastic, and it separates the rollers/balls, which reduce friction by their shape and finish.

Loads

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Bearing design varies depending on the size and directions of the forces required to support. Forces can be predominatelyradial,axial(thrust bearings), orbending momentsperpendicular to the main axis.

Speeds

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Different bearing types have different operating speed limits. Speed is typically specified as maximum relative surface speeds, often specified ft/s or m/s. Rotational bearings typically describe performance in terms of the productDNwhereDis the mean diameter (often in mm) of the bearing andNis the rotation rate in revolutions per minute.

Generally, there is considerable speed range overlap between bearing types. Plain bearings typically handle only lower speeds, rolling element bearings are faster, followed by fluid bearings and finally magnetic bearings which are limited ultimately by centripetal force overcoming material strength.

Play

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Some applications apply bearing loads from varying directions and accept only limited play or "slop" as the applied load changes. One source of motion is gaps or "play" in the bearing. For example, a 10 mm shaft in a 12 mm hole has 2 mm play.

Allowable play varies greatly depending on the use. As an example, a wheelbarrow wheel supports radial and axial loads. Axial loads may be hundreds ofnewtonsforce left or right, and it is typically acceptable for the wheel to wobble by as much as 10 mm under the varying load. In contrast, a lathe may position a cutting tool to ±0.002 mm using a ball lead screw held by rotating bearings. The bearings support axial loads of thousands of newtons in either direction and must hold the ball lead screw to ±0.002 mm across that range of loads

Stiffness

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Stiffness is the amount that the gap varies when the load on the bearing changes, distinct from thefrictionof the bearing.

A second source of motion is elasticity in the bearing itself. For example, the balls in a ball bearing are like stiff rubber and under load deform from a round to a slightly flattened shape. The race is also elastic and develops a slight dent where the ball presses on it.

The stiffness of a bearing is how the distance between the parts separated by the bearing varies with the applied load. With rolling element bearings, this is due to the strain of the ball and race. With fluid bearings, it is due to how the pressure of the fluid varies with the gap (when correctly loaded, fluid bearings are typically stiffer than rolling element bearings).

Lubrication

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Some bearings use a thickgreasefor lubrication, which is pushed into the gaps between the bearing surfaces, also known aspacking.The grease is held in place by a plastic, leather, or rubber gasket (also called agland) that covers the inside and outside edges of the bearing race to keep the grease from escaping. Bearings may also be packed with other materials. Historically, the wheels on railroad cars used sleeve bearings packed withwasteor loose scraps of cotton or wool fiber soaked in oil, then later used solid pads of cotton.[22]

Bearings can be lubricated by aring oiler,a metal ring that rides loosely on the central rotating shaft of the bearing. The ring hangs down into a chamber containing lubricating oil. As the bearing rotates, viscous adhesion draws oil up the ring and onto the shaft, where the oil migrates into the bearing to lubricate it. Excess oil is flung off and collects in the pool again.[23]

A rudimentary form of lubrication issplash lubrication.Some machines contain a pool of lubricant in the bottom, with gears partially immersed in the liquid, or crank rods that can swing down into the pool as the device operates. The spinning wheels fling oil into the air around them, while the crank rods slap at the surface of the oil, splashing it randomly on the engine's interior surfaces. Some small internal combustion engines specifically contain special plasticflinger wheelswhich randomly scatter oil around the interior of the mechanism.[24]

For high-speed and high-power machines, a loss of lubricant can result in rapid bearing heating and damage due to friction. Also, in dirty environments, the oil can become contaminated with dust or debris, increasing friction. In these applications, a fresh supply of lubricant can be continuously supplied to the bearing and all other contact surfaces, and the excess can be collected for filtration, cooling, and possibly reuse. Pressure oiling is commonly used in large and complexinternal combustion enginesin parts of the engine where directly splashed oil cannot reach, such as up into overhead valve assemblies.[25]High-speed turbochargers also typically require a pressurized oil system to cool the bearings and keep them from burning up due to the heat from the turbine.

Composite bearings are designed with a self-lubricatingpolytetrafluorethylene(PTFE) liner with a laminated metal backing. The PTFE liner offers consistent, controlled friction as well as durability, whilst the metal backing ensures the composite bearing is robust and capable of withstanding high loads and stresses throughout its long life. Its design also makes it lightweight-one tenth the weight of a traditional rolling element bearing.[26]

Mounting

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There are many methods of mounting bearings, usually involving aninterference fit.[27]Whenpress fittingorshrink fittinga bearing into a bore or onto a shaft, it's important to keep the housing bore and shaft outer diameter to very close limits, which can involve one or more counterboring operations, several facing operations, and drilling, tapping, and threading operations.[28]Alternatively, an interference fit can also be achieved with the addition of atolerance ring.

Service life

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The service life of the bearing is affected by many factors not controlled by the bearing manufacturers. For example, bearing mounting, temperature, exposure to external environment, lubricant cleanliness, andelectrical currents through bearings.High frequencyPWM inverterscan induceelectric currentsin a bearing, which can be suppressed by the use offerrite chokes.The temperature and terrain of the micro-surface will determine the amount of friction by touching solid parts. Certain elements and fields reduce friction while increasing speeds. Strength and mobility help determine the load the bearing type can carry. Alignment factors can play a damaging role in wear and tear, yet overcome by computer aid signaling and non-rubbing bearing types, such as magnetic levitation or air field pressure.[clarification needed]

Fluidandmagnetic bearingscan have practically indefinite service lives. In practice, fluid bearings support high loads in hydroelectric plants that have been in nearly continuous service since about 1900 and show no signs of wear.[citation needed]

Rolling element bearing life is determined by load, temperature, maintenance, lubrication, material defects, contamination, handling, installation and other factors. These factors can all have a significant effect on bearing life. For example, the service life of bearings in one application was extended dramatically by changing how the bearings were stored before installation and use, as vibrations during storage caused lubricant failure even when the only load on the bearing was its own weight;[29]the resulting damage is oftenfalse brinelling.[30]Bearing life is statistical: several samples of a given bearing will often exhibit abell curveof service life, with a few samples showing significantly better or worse life. Bearing life varies because microscopic structure and contamination vary greatly even where macroscopically they seem identical.

Bearings are often specified to give an "L10" (US) or "B10" (elsewhere) life, the duration by which ten percent of the bearings in that application can be expected to have failed due to classical fatigue failure (and not any other mode of failure such as lubrication starvation, wrong mounting etc.), or, alternatively, the duration at which ninety percent will still be operating. The L10/B10 life of the bearing is theoretical, and may not represent service life of the bearing. Bearings are also rated using the C0(static loading) value. This is the basic load rating as a reference, and not an actual load value.

For plain bearings, some materials give a much longer life than others. Some of theJohn Harrisonclocks still operate after hundreds of years because of thelignum vitaewood employed in their construction, whereas his metal clocks are seldom run due to potential wear.

Flexure bearings rely on elastic properties of a material. Flexure bearings bend a piece of material repeatedly. Some materials fail after repeated bending, even at low loads, but careful material selection and bearing design can make flexure bearing life indefinite.

Although long bearing life is often desirable, it is sometimes not necessary.Harris 2001describes a bearing for a rocket motor oxygen pump that gave several hours life, far in excess of the several tens of minutes needed.[29]

Depending on the customized specifications (backing material and PTFE compounds),composite bearingscan operate up to 30 years without maintenance.

For bearings which are used inoscillatingapplications, customized approaches to calculate L10/B10 are used.[31]

Many bearings require periodic maintenance to prevent premature failure, but others require little maintenance. The latter include various kinds of polymer, fluid and magnetic bearings, as well as rolling-element bearings that are described with terms includingsealed bearingandsealed for life.These containsealsto keep the dirt out and the grease in. They work successfully in many applications, providing maintenance-free operation. Some applications cannot use them effectively.

Nonsealed bearings often have agrease fitting,for periodic lubrication with agrease gun,or an oil cup for periodic filling with oil. Before the 1970s, sealed bearings were not encountered on most machinery, and oiling and greasing were a more common activity than they are today. For example, automotive chassis used to require "lube jobs" nearly as often as engine oil changes, but today's car chassis are mostly sealed for life. From the late 1700s through the mid-1900s, industry relied on many workers calledoilersto lubricate machinery frequently withoil cans.

Factory machines today usually havelube systems,in which a central pump serves periodic charges of oil or grease from a reservoir throughlube linesto the variouslube pointsin the machine'sbearing surfaces,bearing journals,pillow blocks,and so on. The timing and number of suchlube cyclesis controlled by the machine's computerized control, such asPLCorCNC,as well as by manual override functions when occasionally needed. This automated process is how all modern CNCmachine toolsand many other factory machines are lubricated. Similar lube systems are also used on nonautomated machines, in which case there is ahand pumpthat a machine operator is supposed to pump once daily (for machines in constant use) or once weekly. These are calledone-shot systemsfrom their chief selling point: one pull on one handle to lube the whole machine, instead of a dozen pumps of an alemite gun or oil can in a dozen different positions around the machine.

The oiling system inside a modern automotive or truck engine is similar in concept to the lube systems mentioned above, except that oil is pumped continuously. Much of this oil flows through passages drilled or cast into theengine blockandcylinder heads,escaping through ports directly onto bearings and squirting elsewhere to provide an oil bath. The oil pump simply pumps constantly, and any excess pumped oil continuously escapes through a relief valve back into the sump.

Many bearings in high-cycle industrial operations need periodic lubrication and cleaning, and many require occasional adjustment, such as pre-load adjustment, to minimize the effects of wear.

Bearing life is often much better when the bearing is kept clean and well-lubricated. However, many applications make good maintenance difficult. One example is bearings in the conveyor of arock crusherare exposed continually to hard abrasive particles. Cleaning is of little use because cleaning is expensive, yet the bearing is contaminated again as soon as the conveyor resumes operation. Thus, a good maintenance program might lubricate the bearings frequently but not include any disassembly for cleaning. The frequent lubrication, by its nature, provides a limited kind of cleaning action by displacing older (grit-filled) oil or grease with a fresh charge, which itself collects grit before being displaced by the next cycle. Another example are bearings in wind turbines, which makes maintenance difficult since the nacelle is placed high up in the air in strong wind areas. In addition, the turbine does not always run and is subjected to different operating behavior in different weather conditions, which makes proper lubrication a challenge.[32]

See also

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Manufacturers:

References

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  1. ^abJain, Dhrriti (7 May 2023)."From Load Capacities to Operating Conditions – Bearings Selection Guide".The Bearings Chronicle - Learn about Ball Bearings and Roller Bearings.
  2. ^For examples of roller bearer claims, see:
  3. ^abcBunch, Bryan H.; Hellemans, Alexander (2004).The History of Science and Technology: A Browser's Guide to the Great Discoveries, Inventions, and the People who Made Them, from the Dawn of Time to Today.Houghton Mifflin.ISBN978-0-618-22123-3.
  4. ^McCoy, Terrence (26 October 2021)."The surprisingly simple way Egyptians moved massive pyramid stones without modern technology".Washington Post.Archived fromthe originalon 25 July 2023....Egyptians used wooden sleds to haul the stone, but until now it hasn't been entirely understood how they overcame the problem of friction.[... They] placed the heavy objects on a sledge that workers pulled over the sand.[...] 'Research... revealed that the Egyptians probably made the desert sand in front of the sledge wet.'[...] Adding more evidence to the conclusion that Egyptians used water is a wall painting in the tomb of Djehutihotep. A splash of orange and gray, it appears to show a person standing at the front of a massive sledge, pouring water onto the sand just in front of the progressing sled.
  5. ^Martin, Karl."Obelisks: Quarrying, transporting and erecting".In Kathryn A. Bard; Steven Blake Shubert (eds.).Encyclopedia of the Archaeology of Ancient Egypt.pp. 709–711.
  6. ^Guran, Ardéshir; Rand, Richard H. (1997),Nonlinear dynamics,World Scientific, p. 178,ISBN978-981-02-2982-5
  7. ^
  8. ^"Bearing Timeline".American Bearing Manufacturers Association.Archivedfrom the original on 28 December 2014.Retrieved28 February2023.
  9. ^Rubio, H.; Bustos, A.; Castejon, C.; Garcia-Prada, J. C. (2024).Evolution of Rolling Bearing Technology.IFToMM World Congress on Mechanism and Machine Science.Advances in Mechanism and Machine Science.Vol. 149. pp. 991–1002.doi:10.1007/978-3-031-45709-8_97.
  10. ^abCorfield, Justin (2014). "Vaughan, Philip (fl. 1794)". In Kenneth E. Hendrickson III (ed.).The Encyclopedia of the Industrial Revolution in World History.Vol. 3. Lanham (Maryland, US): Rowman & Littlefield. p. 1008.ISBN978-0-8108-8888-3.Vaughan is still regarded as the inventor of them, although... some Roman Nemi ships dating from about 40 CE incorporated them into their design, and Leonardo da Vinci... is credited with first coming up with the principle behind ball bearings, although he did not use them for his inventions. Another Italian, Galileo, described the use of a caged ball.
  11. ^Betts, Jonathan (1 January 1993)."John Harrison: Inventor of the precision timekeeper".Endeavour.17(4): 160–167.doi:10.1016/0160-9327(93)90056-9.ISSN0160-9327.
  12. ^Taylor, J. C.; Wolfendale, A. W. (22 January 2007)."John Harrison: Clockmaker and Copley Medalist. A public memorial at last".Notes and Records of the Royal Society.61(1): 53–62.doi:10.1098/rsnr.2006.0164.
  13. ^"Double-row Angular Contact Ball Bearings".IntechBearing.com.Archived fromthe originalon 11 May 2013.
  14. ^"Bicycle History, Chronology of the Growth of Bicycling and the Development of Bicycle Technology by David Mozer".Ibike.org.Retrieved30 September2013.
  15. ^Stribeck, R. (1901). "Kugellager für beliebige Belastungen".Zeitschrift des Vereines Deutscher Ingenieure.3(45): 73–79.
  16. ^Stribeck, R. (1 July 1901). "Kugellager (ball bearings)".Glasers Annalen für Gewerbe und Bauwesen.577:2–9.
  17. ^Martens, A. (1888).Schmieröluntersuchungen (Investigations on oils).Mitteilungen aus den Königlichen technischen Versuchsanstalten zu Berlin, Ergänzungsheft III. Berlin: Verlag von Julius Springer. pp. 1–57. Archived fromthe originalon 25 February 2012.
  18. ^Gottsill, Gina; Bishop-Wisecarver Company (2007)."Did You Know: Bud Wisecarver"(PDF).Machine Design.p. 1.ISSN0024-9114.(Trade magazine)
  19. ^"Prime mover in custom bearings".Design News.InformaMarkets. 10 July 1995.ISSN0011-9407.Archivedfrom the original on 18 June 2021.(Trade magazine)
  20. ^"Bearing Materials - Tuli experience".www.tuli-shop.com.Retrieved3 January2024.
  21. ^"6 Most Popular Types of Mechanical Bearings".Craftech Industries. Archived fromthe originalon 11 June 2017.
  22. ^White, John H.(1985) [1978].The American Railroad Passenger Car.Vol. 2. Baltimore, Maryland:Johns Hopkins University Press.p. 518.ISBN978-0-8018-2747-1.
  23. ^Gebhardt, George Frederick (1917).Steam Power Plant Engineering.J. Wiley. p.791.
  24. ^Hobbs, George William; Elliott, Ben George; Consoliver, Earl Lester (1919).The gasoline automobile.McGraw-Hill. pp.111–114.
  25. ^Dumas, Paul (14 September 1922)."Pressure Lubricating Characteristics".Motor Age.42.Class Journal Co.
  26. ^Gobain, Saint (1 June 2012)."Saint-Gobain and Norco Get Celebrity Thumbs-Up".Retrieved9 June2016.
  27. ^"Antifriction Bearings – an overview | ScienceDirect Topics".sciencedirect.com.
  28. ^Budynas, Richard; Nisbett, J. Keith (27 January 2014).Shigley's Mechanical Engineering Design.McGraw Hill. p. 597.ISBN978-0-07-339820-4.
  29. ^abHarris, Tedric A. (2001).Rolling bearing analysis.Wiley.ISBN978-0-471-35457-4.
  30. ^Schwack, Fabian; Byckov, Artjom; Bader, Norbert; Poll, Gerhard (21–25 May 2017).Time-dependent analyses of wear in oscillating bearing applications(PDF).STLE/ASME International Joint Tribology Conference. Atlanta.S2CID201816405.
  31. ^Schwack, F.; Stammler, M.; Poll, G.; Reuter, A. (2016)."Comparison of Life Calculations for Oscillating Bearings Considering Individual Pitch Control in Wind Turbines".Journal of Physics: Conference Series.753(11): 112013.Bibcode:2016JPhCS.753k2013S.doi:10.1088/1742-6596/753/11/112013.
  32. ^Schwack, Fabian; Bader, Norbert; Leckner, Johan; Demaille, Claire; Poll, Gerhard (2020)."A study of grease lubricants under wind turbine pitch bearing conditions".Wear.454–455: 203335.doi:10.1016/j.wear.2020.203335.ISSN0043-1648.

Further reading

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