Post on 22-Nov-2014
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