19809203 CATIA V5R17 Chain Sprocket Simulation Explained
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Transcript of 19809203 CATIA V5R17 Chain Sprocket Simulation Explained
BND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSource
Chain & Sprocket SimulationChain & Sprocket SimulationChain & Sprocket SimulationChain & Sprocket SimulationChain & Sprocket SimulationChain & Sprocket SimulationChain & Sprocket SimulationChain & Sprocket SimulationChain & Sprocket SimulationChain & Sprocket SimulationChain & Sprocket SimulationChain & Sprocket SimulationChain & Sprocket SimulationChain & Sprocket SimulationChain & Sprocket SimulationChain & Sprocket Simulationusingusingusingusingusingusingusingusing
CATIA V5 DMU CATIA V5 DMU CATIA V5 DMU CATIA V5 DMU CATIA V5 DMU CATIA V5 DMU CATIA V5 DMU CATIA V5 DMU KinematicsKinematicsKinematicsKinematicsKinematicsKinematicsKinematicsKinematicsCATIA V5 DMU CATIA V5 DMU CATIA V5 DMU CATIA V5 DMU CATIA V5 DMU CATIA V5 DMU CATIA V5 DMU CATIA V5 DMU KinematicsKinematicsKinematicsKinematicsKinematicsKinematicsKinematicsKinematics(Revised 27SEP09)(Revised 27SEP09)(Revised 27SEP09)(Revised 27SEP09)(Revised 27SEP09)(Revised 27SEP09)(Revised 27SEP09)(Revised 27SEP09)
Website = http://bndtechsource.ucoz.com Prepared by: Bill Harbin –Technical Director 27-Sep-09
BND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSource� The following licenses are required to � The following licenses are required to
simulate Chain & Sprocket movement with CATIA V5 DMU Kinematics: CATIA V5 DMU Kinematics:
� Digital Mockup + DMU Kinematics� Digital Mockup + DMU Kinematics� Mechanical Design + Part Design� Mechanical Design + Assembly Design� Mechanical Design + Assembly Design
Prepared by: Bill Harbin –Technical Director 27-Sep-09
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to simulate the movement of a bicycle chain around the sprockets.chain around the sprockets.
Prepared by: Bill Harbin –Technical Director 27-Sep-09
BND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSource� There are certain known values when � There are certain known values when
you begin your simulation.19 T
Sprocket Center Curve
Links19 T
Sprocket Center Curve
40 T11 T
Adjustable Sprocket
11 T
Adjustable Sprocket
Drive Sprocket
Prepared by: Bill Harbin –Technical Director 27-Sep-09
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� Sprocket sizes (number of teeth)� Sprocket placement (center to center)� Sprocket placement (center to center)� Sprocket adjustability (lower derailleur)� Link size (12.7mm)� Link size (12.7mm)� Total Number of Links (106)
� These values will help set up the � These values will help set up the Sprocket Center Curve.
Prepared by: Bill Harbin –Technical Director 27-Sep-09
BND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSource� To accurately simulate the chain movement around � To accurately simulate the chain movement around
the sprockets, you must first understand the chordal relationship of the Link to the Sprocket.chordal relationship of the Link to the Sprocket.
Each Link moves around the Sprocket with a fixed length.
Prepared by: Bill Harbin –Technical Director 27-Sep-09
Each Link moves around the Sprocket with a fixed length.This is the Chord of the Angular rotation of the Sprocket.
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Ex. Arc Length = 12.713Ex. Chord Length = 12.7
This may seem insignificant, but CATIA is very exacting.
Prepared by: Bill Harbin –Technical Director 27-Sep-09
This may seem insignificant, but CATIA is very exacting.
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Ex. 40T Drive Sprocket:
360O /40 = 9O
12.7
6.35 360O /40 = 9O
Chord Length = 12.7
Radius = x
Sin-1 (6.35/x) = 4.5O
6.35
Sin-1 (6.35/x) = 4.5O
x = (6.35/sin4.5O)
x = 80.934mm
Circ = 2ππππR = 508.523mm
9O
4.5OCirc = 2ππππR = 508.523mm
Arc Length =
508.523/40 = 12.713066
Sprkt Ctr Curve =
4.5
x
Prepared by: Bill Harbin –Technical Director 27-Sep-09
Sprkt Ctr Curve =
106*12.713066 = 1347.585mm
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R80.934
R38.58
Sprocket Center Curve Length= 1347.585
R22.539
R22.539
Prepared by: Bill Harbin –Technical Director 27-Sep-09
BND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSource� Here are the Joints and Commands to run the � Here are the Joints and Commands to run the
Simulation (Laws come later).
Sprockets
Links
Sprockets
Links
Prepared by: Bill Harbin –Technical Director 27-Sep-09
Links
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the normal ratio (ex. 40T/19T=2.105).
40T Drive Sprocket
19T Sprocket
SprocketSprocket
11T Sprocket
11T Sprocket
Prepared by: Bill Harbin –Technical Director 27-Sep-09
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Outer). These two links will run along the Sprocket Center Curve and the Sprocket Tracking Curve.Center Curve and the Sprocket Tracking Curve.
Sprocket Tracking Curve
Link Tracking Curve
Sprocket Tracking Curve
Inner Link Shuttle PointInner Link Shuttle Point
Outer Link Shuttle Point
Prepared by: Bill Harbin –Technical Director 27-Sep-09
Sprocket Center Curve
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2) Slide-Curve Joint• Inner Link Tracking CurveTracking Curve
• Sprocket Tracking Curve
1) Point-Curve Joint• Point on Inner Link
3) Point-Curve Joint• Point on Outer LinkInner Link
• Sprocket Center Curve
4) Revolute Joint• Inner Link
Outer Link• Sprocket Center Curve
Prepared by: Bill Harbin –Technical Director 27-Sep-09
• Inner Link• Outer Link
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dimensions.This dimension should This dimension should be exactly the same as the Link dimension.
Prepared by: Bill Harbin –Technical Director 27-Sep-09
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(for both Links).This dimension should This dimension should be exactly the same as the Sprocket dimension.
Prepared by: Bill Harbin –Technical Director 27-Sep-09
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Sprocket Center Curve.They should
intersect exactly.
Prepared by: Bill Harbin –Technical Director 27-Sep-09
BND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSource� Check Link roller centerline to the Sprocket Center � Check Link roller centerline to the Sprocket Center
Curve.They should
intersect exactly.
Prepared by: Bill Harbin –Technical Director 27-Sep-09
BND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSource� Create a Law Sketch 954x954 (106x9O).� Create a Law Sketch 954x954 (106x9O).
This Law will be applied to the Drive Chain Sprocket for Chain Sprocket for rotation angle.
Prepared by: Bill Harbin –Technical Director 27-Sep-09
BND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSource� Apply the Law to the Gear Command.� Apply the Law to the Gear Command.
c) Pick the Law Sketch.
a) Double pick the Command.
Law Sketch.
b) Pick Link.
d) Pick OK.
Prepared by: Bill Harbin –Technical Director 27-Sep-09
d) Pick OK.
BND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSource� Apply a Formula to the Shuttle Command.� Apply a Formula to the Shuttle Command.
a) Double pick the Command.
c) Hold cursor over Formula.
b) Right click inside the Command value box.
over Formula.
d) Drop cursor onto Edit.
Prepared by: Bill Harbin –Technical Director 27-Sep-09
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The start point of the Sprocket Center Curve a) Type this value with
1344.896mm+’Chain 2\Commands\Chain Wheel Rotation\Angle1’*80.93389225mm
The start point of the Sprocket Center Curve is 1344.896 from the Link Shuttle Point.
a) Type this value with mm followed by +
b) Pick the Drive Sprocket Command.
d) Type the Radius d) Type the Radius value followed by mm.
c) Double pick this text to place it into the Formula. e) Pick Ok.
Prepared by: Bill Harbin –Technical Director 27-Sep-09
BND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSourceBND TechSource� Apply a Formula to the Shuttle Command (cont’d).� Apply a Formula to the Shuttle Command (cont’d).
You will get this Syntax Warning.Syntax Warning.
-Do not be alarmed. -It is telling you that you must be precise when converting angular measurement to length measurement. 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 –Technical Director 27-Sep-09
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Pick Simulation with Laws Icon.with Laws Icon.
When you run the simulation, When you run the simulation, the Links should end exactly
where they began.
Prepared by: Bill Harbin –Technical Director 27-Sep-09
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If you toggle between the start between the start and the end, the Links should appear not to
move.move.
Return the Kinematic Simulation to the beginningSimulation to the beginning
Prepared by: Bill Harbin –Technical Director 27-Sep-09
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Sprockets. (19T Sprocket shown)There may be an angular There may be an angular mismatch as the Link
meets the Sprocket tooth.
This problem is easily This problem is easily corrected by using the compass, while current in the CatProduct, to rotate the Sprocket to the
0.557 deg
Prepared by: Bill Harbin –Technical Director 27-Sep-09
the Sprocket to the correct position.
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Sprocket further around.Notice the angle is closing
This means the Sprocket is Notice the angle is closing
as you rotate.
This means the Sprocket is rotating faster than the
Link is moving.
0.202 deg
Prepared by: Bill Harbin –Technical Director 27-Sep-09
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Sprocket further around.Notice the angle is closing
The reason for this is the Notice the angle is closing
as you rotate.
The reason for this is the smaller radius on this Sprocket results in a larger Arc Length.
0.202 deg
Prepared by: Bill Harbin –Technical Director 27-Sep-09
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Ex. 19T Drive Sprocket:
360O /19 = 18.947O
12.7
6.35 360O /19 = 18.947O
Chord Length = 12.7
Radius = x
Sin-1 (6.35/x) = 9.4735O
6.35
Sin-1 (6.35/x) = 9.4735O
x = (6.35/sin9.4735O)
x = 38.58mm
Circ = 2ππππR = 242.403mm
18.947O
9.4735OCirc = 2ππππR = 242.403mm
Arc Length =
242.403/19 = 12.75805x
Prepared by: Bill Harbin –Technical Director 27-Sep-09
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To correct the problem of different Arc Lengths, simply divide the Drive Sprocket Arc Length by the 19T Sprocket Arc length, then multiply the current Gear Ratio by that value.length, then multiply the current Gear Ratio by that value.
12.713/12.758 = .996472801Current Gear Ratio = Current Gear Ratio = 40/19 = 2.105263158New Gear Ratio = 2.105263158* .996472801 = 2.097837476 2.105263158* .996472801 = 2.097837476
The same technique can be applied to the 11T gears.
Prepared by: Bill Harbin –Technical Director 27-Sep-09
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12.713/12.758 = .996472801Current Gear Ratio = Double pick the Current Gear Ratio = 40/19 = 2.105263158New Gear Ratio = 2.105263158* .996472801 = 2.097837476
Double pick the Gear Joint to edit the ratio.
Prepared by: Bill Harbin –Technical Director 27-Sep-09
The same technique can be applied to the 11T gears.
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Prepared by: Bill Harbin –Technical Director 27-Sep-09
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Prepared by: Bill Harbin –Technical Director 27-Sep-09
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Here is where we left off.we left off.
Each new Link will have two joints.1) Point-Curve Joint1) Point-Curve Joint
• Point on Link• Sprocket Center Curve
2) Revolute Joint• Inner Link• Inner Link• Outer Link
Prepared by: Bill Harbin –Technical Director 27-Sep-09
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Add the remaining 104 Links and Joints…Links and Joints…
And here is where you will get to.
Prepared by: Bill Harbin –Technical Director 27-Sep-09
you will get to.Good Luck!
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This explanation of how we created our bicycle chain simulation put together at the bicycle chain simulation put together at the request of our users.
� If you have a request, please visit our free � If you have a request, please visit our free website at http://bndtechsource.ucoz.com
Prepared by: Bill Harbin –Technical Director 27-Sep-09