High School

Design a four-bar Grashof crank-rocker mechanism for 80° of output rocker motion with a quick return time ratio of 1:1.33.

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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