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### Transcript of Gear Train Design Using Lego

GEAR TRAIN DESIGN USING LEGOJulian Yuan Xing Thong Shumpei Hosokawa Kayode Adbul-Haki Olaniyan Corinna Stella Burger

INTRODUCTIONIn 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 REQUIREMENTSTo 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

U3

CONCEPTUAL DESIGN

Slide 4 U3 Two gears instead of one to ensure that the gear system meshes and will not fail Strength? Number of pieces used or strength?? Wheel distance diameter of wheel, why? Aesthetics?User, 4/28/2009

U1

THEORY2 7

W1

1

3

4

5

6

8

W2

11 10 9

P

Slide 5 U1 By referring to Diagram ?, the relationships between each part were observed. w1 = 1 (1) 1+ 3=2 4 (2) 3= 6 (3) 6+ 8=2 5 (4) 8 = w2 (5) 4=- 5 (6) - 10 = 9 (7) 3/ 4 = N4/N3 (8) 6/ 9 = N9/N6 (9) 3/ 10 = N10/N3 (10) N10 =N11 (11) 10 = 11 (12) 9 = 11 (13) N9 = N11 (14) By substituting equation (1) into equation (2) we get: w1 = 2 4 3 (15)

By substituting equation (3) into equation (4), and then substituting into equation (15), we get: w1 = 2 4 (2 5 8) (16)

By expanding equation (16) we get: w1 = 2 4 2 5 + 8 (17)

By substituting equation (6) into equation (17) we get: w1 = 2 4 + 2 4 + 8 w1 = 4 4 + 8 (18) (19)

Slide 5 (Continued) NEXT PAGE By substituting equation (5) into equation (19) we get w1 = 4 4 + w2 w1 w2= 4 4 (20)

The following relation was establish by analysing Gear 4 and Gear 11: 4 / 11 = -N11 / N4 Where 11 = 4 = (-N11 / N4)

(21)

Substituting equation (21) into equation (20) we get: w1 w2= -4(-N11 / N4) (22)

By referring to Figure 2 on page 2 of the project handout, the following observations were made. SI = r w2 = L SII = r w1 = (L + W) (23) (24)

When combining equations (23) and (24) together, we get r w1 r( w1 r( w1 r w2 = (L + W) w2) = L + W w2) = W w2) = (25) L L

(r/W)( w1

Slide 5 (Continued) By substituting equation (24) into equation (25), we get = r/W [(-4N11/N4) ]

Where W/r = 4 and N11/N4 = 1 Hence =This theoretically verifies that the Lego Cart meets the design requirements.User, 4/25/2009

THEORETICAL DIAGRAM

W

W

w1 1

=3

1

+3

=26

4

=

+ 8=2 5 8 = w2 4 = - 5 - 10 = 9 3/ 4 = N4/N36

(1) (2) (3) (4) (5) (6) (7) (8)

P

THEORY - OBSERVATIONS

2

7

1

1

3

4

5

6

8

THEORY - OBSERVATIONS11 10 9

= N9/N6 (9) (10) 3/ 10 = N10/N3 N10 =N11 (11) (12) 10 = (13) 9= N9 = N11 (14)

6/ 9

2

THEORY - PROOFBy substituting equation (1) into equation (2) we get:w1

=2

4

3

(15)

By substituting equation (3) into equation (4), and then substituting into equation (15), we get:w1 =

2

4

(2

5 8)

(16)

THEORY - PROOFBy expanding equation (16) we get:w1 =

2

4 2 5 +

8

(17)

By substituting equation (6) into equation (17) we get:w1 =

2

4+

2

4+

8

(18) (19)

w1 =

4

4+

8

THEORY - PROOFBy substituting equation (5) into equation (19) we get

w1

=4 4

4

+

w2

w1

w2=

4

(20)

The following relation was establish by analysing Gear 4 and Gear 11: = -N11 / N4 4 /4

= (-N11 / N4)

(21)

THEORY - PROOFSubstituting equation (21) into equation (20) we get:w1 w2=

4(-N11 / N4)

(22)

By referring to the diagram previously seen on the presentation, the following observations were made. SI = r SII = rw2 =

L

(23) (24)

w1 =

(L + W)

THEORY - PROOFWhen combining equations (23) and (24) together, we get: r r(w1 r w2

= (L + W) =L +W =W =

L L

w1 w2)

r( (r/W)(

w1 w2)

w1 w2)

(25)

THEORYBy substituting equation (24) into equation (25), we get = r/W [(-4N11/N4) ]

Where W/r = 4 and N11/N4 = 1 Hence =-

VIDEO

POTENTIAL APPLICATIONSThis 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

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