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1 Cam System Design MAE 342 – Kinematics & Dynamics of Machinery Typical Problem Design a cam system to: 1. Open a valve 0.05 inches in 0.0025 seconds 2. Stay open for 0.0050 seconds 3. Close in 0.0025 seconds, and 4. Stay closed for 0.02 seconds. 5. Repeat continuously. 2 0.05 y (in) t (s) 0 0 0.001 0.0025 0.0075 0.002 0.003 Use a roller follower. Make accelerations as small as possible. 0.0325
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Cam System Design - West Virginia Universitycommunity.wvu.edu/~bpbettig/MAE342/Lecture_5_cams_b.pdfCam System Design MAE 342 ... Simple harmonic motion Cycloidal motion ... To obtain

Jun 17, 2018

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Page 1: Cam System Design - West Virginia Universitycommunity.wvu.edu/~bpbettig/MAE342/Lecture_5_cams_b.pdfCam System Design MAE 342 ... Simple harmonic motion Cycloidal motion ... To obtain

1

Cam System Design

MAE 342 – Kinematics & Dynamics of Machinery

Typical Problem• Design a cam system to:

1. Open a valve 0.05 inches in 0.0025 seconds2. Stay open for 0.0050 seconds3. Close in 0.0025 seconds, and 4. Stay closed for 0.02 seconds.5. Repeat continuously.

2

0.05

y (in)

t (s)0

0 0.001

0.0025 0.0075

0.002 0.003

• Use a roller follower.

• Make accelerations as small as possible.

0.0325

Page 2: Cam System Design - West Virginia Universitycommunity.wvu.edu/~bpbettig/MAE342/Lecture_5_cams_b.pdfCam System Design MAE 342 ... Simple harmonic motion Cycloidal motion ... To obtain

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MAE 342 – Kinematics & Dynamics of Machinery 3

Classification of Cams

MAE 342 – Kinematics & Dynamics of Machinery 4

Classification of Followers

Page 3: Cam System Design - West Virginia Universitycommunity.wvu.edu/~bpbettig/MAE342/Lecture_5_cams_b.pdfCam System Design MAE 342 ... Simple harmonic motion Cycloidal motion ... To obtain

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MAE 342 – Kinematics & Dynamics of Machinery 5

Reciprocating vs. Oscillating

MAE 342 – Kinematics & Dynamics of Machinery 6

Offset vs. Radial Follower

Page 4: Cam System Design - West Virginia Universitycommunity.wvu.edu/~bpbettig/MAE342/Lecture_5_cams_b.pdfCam System Design MAE 342 ... Simple harmonic motion Cycloidal motion ... To obtain

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MAE 342 – Kinematics & Dynamics of Machinery 7

Mechanical Constraint Cam Systems

Ducati desmodromic camImage from MECH 324 Colorado State University

MAE 342 – Kinematics & Dynamics of Machinery 8

Designing Cam Systems

1. Create a displacement diagram

2. Select geometric parameter values

Page 5: Cam System Design - West Virginia Universitycommunity.wvu.edu/~bpbettig/MAE342/Lecture_5_cams_b.pdfCam System Design MAE 342 ... Simple harmonic motion Cycloidal motion ... To obtain

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MAE 342 – Kinematics & Dynamics of Machinery 9

Creating Displacement Diagram

• Lift and dwell are usually application-dependent (given by application requirements)

• Therefore mainly need to design transitions:� Full-rise

� Half-rise

� Full-return

� Half-return

MAE 342 – Kinematics & Dynamics of Machinery 10

Designing Transitions• Select an equation to meet maximum

velocity, acceleration and jerk rate requirements:

� Parabolic motion

� Simple harmonic motion

� Cycloidal motion

� Polynomial

Page 6: Cam System Design - West Virginia Universitycommunity.wvu.edu/~bpbettig/MAE342/Lecture_5_cams_b.pdfCam System Design MAE 342 ... Simple harmonic motion Cycloidal motion ... To obtain

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MAE 342 – Kinematics & Dynamics of Machinery 11

Selecting Geometric Parameters

• Geometric parameter values need to be chosen to avoid problems such as:

� Interference/undercuts

� High pressure angles

� Large enough face on follower

MAE 342 – Kinematics & Dynamics of Machinery 12

• Select values of R0, e, etc. to avoid high pressure angles

� To obtain pressure angles, draw cam with follower in each position and measure or use nomograph (Fig. 6.28) to find maximum φ if possible.

Parameter selection: Roller Follower

Φ

pressure angle

Page 7: Cam System Design - West Virginia Universitycommunity.wvu.edu/~bpbettig/MAE342/Lecture_5_cams_b.pdfCam System Design MAE 342 ... Simple harmonic motion Cycloidal motion ... To obtain

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MAE 342 – Kinematics & Dynamics of Machinery 13

Parameter selection: Roller Follower

• Select values of R0, e, etc. to avoid undercuts

� Minimum curvature (ρmin) must be greater than 0.

� To obtain ρmin draw cam and measure it or use Fig.s 6.30 – 6.34 if possible.

MAE 342 – Kinematics & Dynamics of Machinery 14

Parameter selection: flat face follower

• Select R0, e, etc. to avoid undercutting

Page 8: Cam System Design - West Virginia Universitycommunity.wvu.edu/~bpbettig/MAE342/Lecture_5_cams_b.pdfCam System Design MAE 342 ... Simple harmonic motion Cycloidal motion ... To obtain

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MAE 342 – Kinematics & Dynamics of Machinery 15

Parameter selection: flat face follower

• Select face size & position so that face stays on cam