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Solution:<br />

First draw the displacement schedule to scale, and divide the cam into 12 equal sections. The cam is<br />

rotating in the clockwise direction so that the cam is layed out in the counterclockwise direction.<br />

Then draw the locations of the follower. The cam profile is then drawn such that the cam is tangent<br />

to the follower in the different positions. The cam is drawn as follows:<br />

Problem 8.19<br />

5<br />

4<br />

6<br />

7<br />

8<br />

- 363 -<br />

3<br />

2<br />

1<br />

12<br />

11<br />

9 10<br />

Lay out a cam profile using a harmonic follower displacement (both rise and return). Assume that<br />

the cam is to dwell at zero lift for the first 100˚ of the motion cycle and to dwell at a 1 in lift for cam<br />

angles from 160˚ to 210˚. The cam is to have a translating, radial, roller follower with a 1-in roller<br />

diameter, and the base circle radius is to be 1.5 in. The cam will rotate clockwise. Lay out the cam<br />

profile using 20˚ plotting intervals.<br />

Solution:<br />

The displacement profile can be easily computed using the equations in Chapter 8 in a spreadsheet<br />

or MATLAB program. The profile equations are:<br />

For 0 100˚<br />

y=0<br />

For 100˚ 160˚<br />

y = L <br />

<br />

1 cos <br />

2 <br />

where L = 1, = 100˚, and =160˚100˚= 60˚.<br />

For 160˚ 210˚<br />

y=1

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