machine elements transmissions, bearings, shafts

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Machine Elements Transmissions, Bearings, Shafts

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Machine Elements

Transmissions, Bearings, Shafts

TRANSMISSIONS

Matching the torque and speed of the motor to the torque and

speed of the task

Speed (rpm)

Torq

ue (

oz-in

)

Motor torque-speed curve

Stall

No-load

Load torque

Operating point

Speed (rpm)

Torq

ue (

oz-in

)

Changes with motor V

Increasing V

Load torque

Small DC Motors

• Plain motors: spin fast, low torque• Gear motors: spin slow, high torque• More voltage = more speed and more

torque• Less voltage = slows down, but torque

down• If spin too fast, bearings fail• If too much current, coil heats up and

melts

Speed (rpm)

Torq

ue (

oz-in

)

Motor complaintsStall too wimpy!

No-load spins too fast!

Solution: A transmission gets you on a new T-S curve

Speed (rpm)

Torq

ue (

oz-in

)

5:1 Transmission

Before: low torque, high speed

102

5

25

After: high torque at low speed

T2 = n*T1 v2 = (1/n)*v1

Same power!

2 1 2 1

1* T n T v v

n

*P T v

1 1 1*P T v

2 2 2 1 1 1

1* *P T v nT v P

n

Fast, weak motor

Slow, strong turntable

Belt Drive

Fast, weak motor

Slow, strong turntable

Rim Drive

Cam As a Transmission

FOLLOWER

CAM

moparmusclemagazine.com

Da Vinci Cams

16US 6468286

17

BEARINGSand

SHAFTS

Getting things to spin by transmitting rotary power

What is a bearing?

A BEARING REDUCES DEGREES-OF-FREEDOM

SPECIFICATIONS

• Ability to constrain motion• Friction• Load• Lifetime• Fabrication/Mounting• Cost

TO SLIDE OR TO ROLL?

Rolling elements: Low friction, complex, expensive

Sliding elements: Simple, high friction

timken.com

Tapered Roller BearingAngular contact roller bearing

Rulon bearings

Sliding bearings (prismatic joints)

L

D

L/D = 6 to 10

BIND NO BIND

More sliding joints

BIND NO BIND

KH Linear bushing

Danahermotion.com

alibaba.com linear bearings

Shaft

SUPPORTING SHAFTS

YES!

NO!

NO!

Bearing misalignment

OFFSET

ANGULAR

Bearing load

radial

thrust

JOINING SHAFTS

?

Offset misalignment Angular misalignment

A classic binding problem

one shaft, 4 supports= binding!

?

Coupling methods

rigid coupler, press-fit or glue or set-screws

flexible coupler

Or, just tape ‘em together

electrical tape or fiber reinforced tape