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ME 222: Kinematics of Machines and...

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4/19/19 1 Suril V. Shah ME 222: Kinematics of Machines and Mechanisms [L31] Cam Design 3 4/19/19 1 IIT Jodhpur Suril V. Shah Polynomial function n degree polynomial has n+1 terms Order of polynomial Boundary conditions For k boundary conditions n = k-1 2
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Page 1: ME 222: Kinematics of Machines and Mechanismssurilshah.weebly.com/uploads/1/1/4/6/11462120/komm_l31_cam3_follower... · 4/19/19 1 SurilV. Shah ME 222: Kinematics of Machines and Mechanisms

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Suril V. Shah

ME 222: Kinematics of Machines and Mechanisms

[L31] Cam Design 3

4/19/19 1IIT Jodhpur

Suril V. Shah

Polynomial function

n degree polynomial has n+1 termsOrder of polynomial Boundary conditions

For k boundary conditions n = k-1

2

Page 2: ME 222: Kinematics of Machines and Mechanismssurilshah.weebly.com/uploads/1/1/4/6/11462120/komm_l31_cam3_follower... · 4/19/19 1 SurilV. Shah ME 222: Kinematics of Machines and Mechanisms

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Suril V. Shah

Double Dwell-3-4-5 Polynomial

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Suril V. Shah

Boundary conditions

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Page 3: ME 222: Kinematics of Machines and Mechanismssurilshah.weebly.com/uploads/1/1/4/6/11462120/komm_l31_cam3_follower... · 4/19/19 1 SurilV. Shah ME 222: Kinematics of Machines and Mechanisms

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Suril V. Shah

Defining Polynomial

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Suril V. Shah

The function

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Page 4: ME 222: Kinematics of Machines and Mechanismssurilshah.weebly.com/uploads/1/1/4/6/11462120/komm_l31_cam3_follower... · 4/19/19 1 SurilV. Shah ME 222: Kinematics of Machines and Mechanisms

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Suril V. Shah

4-5-6-7 polynomial

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Suril V. Shah

Velocity, Acceleration and Jerk

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Page 5: ME 222: Kinematics of Machines and Mechanismssurilshah.weebly.com/uploads/1/1/4/6/11462120/komm_l31_cam3_follower... · 4/19/19 1 SurilV. Shah ME 222: Kinematics of Machines and Mechanisms

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Suril V. Shah 9

Suril V. Shah

Cycloidal Motion for symmetrical Rise-Fall Single Dwell Case

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+ 14.55 m/s2

- 14.55 m/s2

Page 6: ME 222: Kinematics of Machines and Mechanismssurilshah.weebly.com/uploads/1/1/4/6/11462120/komm_l31_cam3_follower... · 4/19/19 1 SurilV. Shah ME 222: Kinematics of Machines and Mechanisms

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Suril V. Shah

Double Harmonic Motion for Symmetrical Rise-Fall-Single Dwell Case

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- 22.86 m/s2

Suril V. Shah

A polynomial for Symmetrical Rise-Fall Single Dwell

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Page 7: ME 222: Kinematics of Machines and Mechanismssurilshah.weebly.com/uploads/1/1/4/6/11462120/komm_l31_cam3_follower... · 4/19/19 1 SurilV. Shah ME 222: Kinematics of Machines and Mechanisms

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Suril V. Shah

Polynomial for Symmetrical Rise-Fall Single Dwell

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- 11.11 m/s2

- 13.89 m/s2

Thank youNext Class: Asymmetric function

4/19/19 IIT Jodhpur 14


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