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using (Revised 27SEP09)
Website = http://bndtechsource.ucoz.com
Prepared by: Bill Harbin –Technical Director 27-Sep-09
simulate Chain & Sprocket movement with
Mechanical Design + Part Design +
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
to simulate the movement of a bicycle chai chain n arou around nd the the s rock rocket ets. s.
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
you begin your simulation. Links Sprocket Center Curve 40 T
11 T Adjustable Sprocket 11 T
Drive Sprocket
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
Sprocket sizes (number of teeth)
Sprocket adjustability (lower derailleur)
Total Number of Links (106)
Sprocket Center Curve.
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
the sprockets, you must first understand the cho chordal relatio tionshi of the the Link to to the the S rock cke et.
Each Each Link Link move moves s arou around nd the the S rock rocket et wit with h a fix fixed ed len len th. th. This is the Chord of the Angular rotation of the Sprocket. Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
. Ex. Chord Length = 12.7
Ex. Arc Length = 12.713
This ma seem in insi nificant but CATIA is ver exactin .
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
... 12.7
Ex. 40T Drive Sprocket: .
9O 4.5O x
360O /40 = 9O Chord Length = 12.7 Radius = x n. x = . x = (6.35/sin4.5 O) x = 80.934mm . Arc Length = 508.523/40 = 12.713066 = 106*12.713066 = 1347.585mm Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
. R38.58 R80.934 Sprocket Center Curve Length= 1347.585
R22.539
R22.539
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
Simulation (Laws come later). Sprockets
Links
Sprockets
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
the normal ratio (ex. 40T/19T=2.105).
19T Sprocket
40T Drive proc e
11T Sprocket 11T Sprocket
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
Outer). These two links will run along the Sprocket Center Cu Curve an and th the S rocket Tr Trackin Curve. Link Tracking Curve Sprocket Tracking Curve
Inner Link Shuttle Point Outer Link Shuttle Point
Sprocket Center Curve Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
. 2) Slide-Curve Joint Inner Link rac ng urve Sprocket Tracking Curve •
•
3) Point-Curve Joint Point on Outer Link Sprocket Center Curve
1) Poin Pointt-Cu Curv rve e Join Jointt Point on
•
•
•
Sprocket Center Curve
•
4) Revolute Joint nner n Outer Link • •
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
- dimensions. be exactly the same as the Link dimension.
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
- (for both Links). be exactly the same as the Sprocket dimension.
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
Sprocket Center Curve. They should intersect exactly.
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
Curve. They should intersect exactly.
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
O
.
This Law will be applied to the Drive rotation angle.
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
. c) Pick the
a) Double pick the Command. b) Pick Link.
d) Pick OK.
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
.
a) Double pick the Command.
c) Hold cursor over Formula.
b) Right click inside the Command value box. d) Drop cursor onto Edit.
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
b) Pick the Drive Sprocket Command. c) Double pick this text to place it into the Formula.
Type t e Ra ius value followed by mm. e) Pick Ok.
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
’ . You will get this .
-Do not be alarmed. -It is telling you that you must be precise when converting angular measurement to length measurement. -This is why it is important to add the mm to your Formula. Else it will assume meters!
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
. Pick Simulation .
When you run the simulation, the Links should end exactly where they began.
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
. If you toggle and the end, the Links should appear not to move. Return the Kinematic mu a on o e eg nn ng
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
Sprockets. (19T Sprocket shown) ere may may e an angu angu ar mismatch as the Link meets the Sprocket tooth.
This roblem is easil corrected by using the compass, while current in the CatProduct, to rotate correct position.
0.557 deg Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
A diffe differe rent nt chal challe len n e aris arises es as ou rota rotate te the the Sprocket further around.
This means the Sprocket is rotating faster than the Link is moving.
o ce e ang e s c os ng as you rotate.
0.202 deg
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
A diffe differe rent nt chal challe len n e aris arises es as ou rota rotate te the the Sprocket further around. The reason for this is the smaller radius on this Sprocket results in a larger Arc Length.
o ce e ang e s c os ng as you rotate.
0.202 deg
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
... 12.7
Ex. 19T Drive Sprocket: .
18.947O 9.4735O x
360O /19 = 18.947 O Chord Length = 12.7 Radius = x n. x = . x = (6.35/sin9.4735 O) x = 38.58mm . Arc Length = 242.403/19 = 12.75805
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
Ad ust the Gear Gear Rat Ratio io..
To correct the problem of different Arc Lengths, simply divide the Drive Sprocket Arc Length by the 19T Sprocket Arc engt , t en mu t p y t e current ear at o y t at va ue. 12.713/12.758 = .996472801 urren ear a o = 40/19 = 2.105263158 New Gear Ratio = 2.105263158* .996472801 = 2.097837476 The same technique can be applied to the 11T gears.
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
Ad ust the Gear Gear Rat Ratio io.. 12.713/12.758 = .996472801
Gear Joint to edit the ratio.
40/19 = 2.105263158 New Gear Ratio = 2.105263158* .996472801 = 2.097837476
The same technique can be applied to the 11T gears. Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
...
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
Here is where . Each new Link will have two joints. 1 Point-Curve Joint Point on Link Sprocket Center Curve 2) Revolute Joint • •
•
Outer Link
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
Add the remaining 104 Links and Joints…
And here is where . Good Luck! Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
This explanation of how we created our request of our users. , website at http://bndtechsource.ucoz.com
Prepared by: Bill Harbin Harbin –Technical Director Director 27-Sep-09
