Concept explainers
Programs DYNACAM and MATRIX may be used to solve these problems or to check your solution where appropriate.
Figure P8-1 shows the cam and follower from Problem 6-65. Using graphical methods, find and sketch the equivalent fourbar linkage for this position of the cam and follower.
To sketch: The equivalent four bar linkage of thecam follower.
Explanation of Solution
Cams are rotated by cam pair at A and B. For an equivalent four bar linkage of cam and follower mechanism, the cam pair is converted into two turning pair by an imaginary link AB. Length of the link will be equal to the center of curvature distances between two cams. Also the two cam is replaced by a two links O2A and O2B. O2A is the distance between center of curvature of left cam at A and center of rotation of left cam at O2. Similarly O2B is distance between the center of curvature of right cam at B and center of rotation of right cam at O4.
Graphical method for four bar mechanism:-
- Take O2 and O4 as a fix link.
- Mark A and B as a center of curvature of the left and right cam respectively.
- Draw O2A and O2B and join A and B as AB.
Drawing the equivalent four bar linkage as shown below:
O2ABO4is the equivalent 4 bar linkage of two sliding cam mechanism. The angular velocity of left and right cam will be equal to the angular velocity of link O2A and O2B respectively.
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Chapter 8 Solutions
DESIGN OF MACHINERY (LL W/ CONNECT)
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