Answer :
To design a fourbar Grashof crank-rocker mechanism for 80° of output rocker motion with a quick return time ratio of 1:1.33, we can use the following steps:
The Steps to follow
Calculate the crank length.
The crank length is given by the following equation:
Crank length = Output rocker motion / (180 - Output rocker motion)
In this case, the output rocker motion is 80°, so the crank length is:
Crank length = 80° / (180 - 80°) = 0.8
Calculate the rocker length.
The rocker length is given by the following equation:
Rocker length = Crank length * Quick return time ratio
In this case, the quick return time ratio is 1:1.33, so the rocker length is:
Rocker length = 0.8 * 1.33 = 1.064
Calculate the coupler length.
The coupler length is given by the following equation:
Coupler length = √(Crank length² + Rocker length² - 2 * Crank length * Rocker length * cos(Output rocker motion))
In this case, the crank length is 0.8, the rocker length is 1.064, and the output rocker motion is 80°. Substituting these values into the equation, we get:
Coupler length = √(0.8² + 1.064² - 2 * 0.8 * 1.064 * cos(80°)) = 1.215
Calculate the fixed link length.
The fixed link length is given by the following equation:
Fixed link length = Coupler length - Crank length
In this case, the coupler length is 1.215 and the crank length is 0.8, so the fixed link length is:
Fixed link length = 1.215 - 0.8 = 0.415
Therefore, the fourbar Grashof crank-rocker mechanism for 80° of output rocker motion with a quick return time ratio of 1:1.33 has the following link lengths:
Crank length: 0.8
Rocker length: 1.064
Coupler length: 1.215
Fixed link length: 0.415
This mechanism can be designed using any CAD software program.
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