Design a crank-rocker linkage that will move the rocker link between two extreme positions 45 degrees apart. The rocker should take twice the time to moving in one direction that it takes moving in the other. If the fourbar linkage designed above is non-grashof, list two ways in which you would alter the design so that the crank is able to rotate.
Design a crank-rocker linkage that will move the rocker link between two extreme positions 45 degrees apart. The rocker should take twice the time to moving in one direction that it takes moving in the other. If the fourbar linkage designed above is non-grashof, list two ways in which you would alter the design so that the crank is able to rotate.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
Design a crank-rocker linkage that will move the rocker link between two extreme positions 45 degrees apart. The rocker should take twice the time to moving in one direction that it takes moving in the other.
If the fourbar linkage designed above is non-grashof, list two ways in which you would alter the design so that the crank is able to rotate.
Expert Solution
Step 1
To design a crank-rocker linkage that will move the rocker link between two extreme positions 45 degrees apart and takes twice the time to move in one direction compared to the other, we can follow these steps:
- Choose a fixed pivot point on the ground as point A, and another pivot point on the ground as the center of rotation for the crank, point O.
- Choose the length of the crank, AB, such that the angle swept by the crank is 90 degrees. The direction of rotation of the crank should be such that it moves the rocker in the direction where it takes more time to move.
- Choose the length of the rocker, CD, such that it moves 45 degrees between its two extreme positions.
- Choose the length of the coupler, BC, such that the mechanism is a crank-rocker linkage and the motion of the rocker is as desired.
Here is a sketch of the linkage:
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