GEAR TRAIN DESIGN USING

LEGO

Julian Yuan Xing ThongShumpei HosokawaKayode Adbul-Haki

OlaniyanCorinna Stella Burger

INTRODUCTION

In this project, you are required to design and build a Lego cart with a Gear system and a Pointer attached.

The design of the Lego cart must ensure that the attached Pointer keeps pointing to a fixed direction

(e.g. north) all the time regardless whatever direction the cart travels.

• Design Requirements• Conceptual Design• Theory• Demonstration video• Potential applications

DESIGN REQUIREMENTS

To produce a working Lego model kart with a pointer that keeps pointing to a fixed direction all the time regardless to whatever direction the kart travels

Using only Lego parts given Design can either use minimal parts or more

parts to produce strength Gear system driven by two wheels of equal

size Pointer must exit vehicle vertically Kart must have the ability to move in any

direction

CONCEPTUAL DESIGN

THEORY

W1 1

2

3 4 5 6

7

8 W2

910

11

P

ψ

THEORETICAL DIAGRAM

THEORY - OBSERVATIONS

θw1 =θ1 (1)

θ1 +θ3 = 2θ4 (2)

θ3 =θ6 (3)

θ6 +θ8 = 2θ5 (4)

θ8 =θw2 (5)

θ4 = -θ5 (6)

-θ10 =θ9 (7)

θ3/θ4 = N4/N3 (8)

W1 1

2

3 4 5 6

7

8 W2

910

11

P

ψ

THEORY - OBSERVATIONS

θ6/θ9 = N9/N6 (9)

θ3/θ10 = N10/N3 (10)

N10 =N11 (11)

θ10 = ψ (12)

θ9 = ψ (13)

N9 = N11 (14)

ψ

W1 1

2

3 4 5 6

7

8 W2

910

11

P

THEORY - PROOF

By substituting equation (1) into equation (2) we get:

 θw1 = 2θ4 – θ3 (15)

 

By substituting equation (3) into equation (4), and then substituting into equation (15), we get:

 θw1 = 2θ4 – (2θ5 –θ8) (16)

 

THEORY - PROOF

By expanding equation (16) we get: 

θw1 = 2θ4 –2θ5 + θ8 (17)

 By substituting equation (6) into equation (17)

we get: 

θw1 = 2θ4 + 2θ4 + θ8 (18)

 θw1 = 4θ4 + θ8 (19)

THEORY - PROOF

By substituting equation (5) into equation (19) we get

 θw1 = 4θ4 + θw2

θw1 – θw2= 4θ4 (20)

The following relation was establish by analysing Gear 4 and Gear 11:

 θ4 / ψ = -N11 / N4

θ4 = (-N11 / N4) ψ (21)

THEORY - PROOF

Substituting equation (21) into equation (20) we get: 

θw1 – θw2= 4(-N11 / N4) ψ (22)

 By referring to the diagram previously seen on the

presentation, the following observations were made.

SI = rθw2 = LΦ (23)

SII = rθw1 = (L + W) Φ (24)

THEORY - PROOF

When combining equations (23) and (24) together, we get:

 rθw1 – rθw2 = (L + W) Φ – LΦ

 r(θw1 –θw2) = LΦ+ WΦ – LΦ

 r(θw1 –θw2) = WΦ

 (r/W)( θw1 –θw2) = Φ (25)

THEORY

By substituting equation (24) into equation (25), we get

 Φ = r/W [(-4N11/N4) ψ]

 Where W/r = 4 and N11/N4 = 1

 Hence Φ = - ψ

VIDEO

This kind of gear system is used in automobiles that is cars, turbines and drills. It is also used in

clocks and wristwatches. Satellite transmission receiver: the gear system could be applied here if there is a satellite dish and reception or signal needs to be received and thus it is programmed to a particular

direction on a moving vehicle In history the design was used as a

compass by the ancient Chinese

POTENTIAL APPLICATIONS

Air coolingHP compressor

Low noise fan

Distributed Control System

Electric Starter Generator

LP Turbine outer casing

High speed LP turbine

LP spool generator

Exhaust frame

Turbine midframe

Development of future generation of Aero enginehttp://www.cleansky.eu/upload/download/19/en/EngineITDNickPeacock(Rolls-Royce).pdf

Advanced fan drive gear systemhttp://

machinedesign.com/article/green-technology-jets-gear-up-to-fly-greener-0619

APPLICATIONS OF PLANETARY TRAINS

Planetary Gearset

Ring is stationary

Planets rotate along with Carrier Plate

Carrier Plate (attached to output shaft)

Advantages:•Robust •Input and Output Shafts in line

Sun

APPLICATIONS OF PLANETARY GEAR TRAINS: DRILL