notes/uni/mmme/2044_design_manufacture_and_project/bearings.md

3.7 KiB
Executable File
Raw Blame History

author date title tags uuid lecture_slides
Akbar Rahman \today MMME2044 // Bearings
bearings
94cac3fd-c352-4fdd-833d-6129cb484b8a
./lecture_slides/Lecture 7 - Bearings 1 Plain Hydrodynamic Bearings 1.pdf

I don't think I ever finished these notes.

Types of Bearings

Plain Journal Bearings

  • used to support rotating shafts loaded in radial directions
  • consists of an insert fitted between the shaft and support
  • the insert may be an aluminium alloy, copper alloy, or other material
  • the insert provides lower friction and less wear than if just rotating in the support
  • the bearing may be dry rubbing or lubricated

Lubrication

  • hydrodynamic---a shaft continuously in oil. the load is carried by pressure generated in the oil as a result of the rotation
  • hydrostatic---avoids excessive wear at start up by pumping oil into the load bearing area at a pressure that lifts the shaft
  • solid-firm---a coating of a solid material like graphite or molybdenum disulphide
  • boundary layer---a thin layer of lubricant which adheres to the surface of the bearing

Ball and Roller Bearings (Rolling Element Bearings)

  • main load is transferred from rotating shaft to its support by rolling contact from balls
  • a rolling element bearing consists of an inner race, outer race, rolling elements and a cage

Plain Rubbing Bearings (Dry Sliding)

  • does not use liquid lubrication
  • usually polymeric
  • dry lubricants added (e.g. PTFE)
  • reinforcements added (e.g. glass fibre)

Oil Lubricated Porous Bearings

  • manufactured from sintered metal powders
  • porous and oil impregnated
  • more porous is weaker but allows for high speeds
  • lubricant needs to replenished at regular intervals --- usually every 1000 hours of use

Hydrodynamic Bearings

  • pressure builds up in the lubricant as a response to the relative motion
  • both journal and thrust bearings may use this principle
  • surfaces touch and rub at very low speeds

fun graphs that may be useful for bearing selection

pV Factor

  • a measure of the bearing's ability to cope with frictional heat generation
  • rapid wear occurs at pV_\text{max}
  • if the value is exceeded then overheating, melting, and excessive wear or seizure may follow
  • general operational range should be around 0.5pV_\text{max}

P_\text{max} is limited by strength, V_\text{max} is limited by temperature rise

  • A - thermoplastics
  • B - PTFE
  • C - PTFE + fillers
  • D - porous bronze + PTF + lead
  • E - PTFE-glass weave + thermoset
  • F - reinforced thermoset + molybdenum disulphide
  • G - thermoset/carbon graphite + PTFE

Radial Sliding Bearing

p = \frac{F_\text{radial}}{bD}
V = \omega\frac D2

Axial Sliding Bearing

p = \frac{4F_\text{axial}}{\pi(D^2-d^2)}
V = \omega\frac{D+d}{4}

Wear

K = \frac{W}{FVt}

where K is wear factor (provided by manufacturer), W is wear volume, F is sliding velocity, F is bearing load, and t is elapsed time.

Manufacture

  • nominal diametral clearance is commonly 1 $\mu$m per mm

  • manufacturing tolerance

    • close running fit (H8/f7)
    • free running (H9/d9)