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Analysis of Casting Mechanism


Ideal Motion Profiles:

Output Link

The output link for the casting mechanism ideally would start in the back position and once in motion will whip forward to bring the link to the final casting position.


Displacement of Output 


Linear Velocity of Output



Linear Acceleration of Output 


Input Link

The input link for the casting mechanism is connected to the ground link that moves with the output link of the positional adjustment mechanism to move the output link of the casting mechanism.


Displacement of Input 



Linear Velocity of Input 



Linear Acceleration of Input 



Mobility Calculation (Grubler's Equation):

Gruebler's Equation is vital for calculating the mobility of robotic mechanisms. It helps determine a mechanism's degree of freedom by considering the number of links, joints, and their respective degrees of freedom. Below is the calculation to determine the mobility of our casting mechanism design.


Mechanical Advantage of Output/Input

The mechanical advantage of the output was determined using the kinematic velocity data obtained from analysis. By assuming power is preserved throughout the mechanism, we can plot the input velocity divided by the output velocity at each point in time to give mechanical advantage of the mechanism. 

Animation showing linkage operation in the full range

Analysis of Positional Adjustment Mechanism


Ideal Motion of Link 1:


Displacement and linear velocity for one full rotation of link 1:

Input - 15 rpms

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