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With the geometry of the mechanism defined through the development of a Solidworks model of our synthesized design, we set out to analyze the position, velocity, and acceleration of the two "table links" to determine a suitable motor choice and confirm our preliminary findings regarding the viability of the mechanism in accomplishing the prescribed design features.

 

To accomplish this goal we constructed a motion analysis simulation in Solidworks to simulate a motor activation. It was decided that 10 seconds would be a reasonable amount of time for Ceci to wait for the mechanism to open or close, so a simulated servo-motor with a constant acceleration ramp profile at the beginning and end of activation and a 10 second operation time was modeled. The motor was set to rotate 125 degrees over a period of 10 seconds and record the torque required by the motor to do so. The results of this simulation are presented in Fig. 1, Fig. 2, and Fig 3. 

 

An animation of the motion profile of the motor is presented in the video below:

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urlhttps://www.youtube.com/watch?v=ORtGqEkHq38
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With an An estimation of the maximum holding torque required to begin activation of the mechanism at minimum mechanical advantage (i.e the initial position of the crank-slider mechanism driven by the motor) is given by the torque value at t < 5 s in Fig. 3 (1.246 Nm) and the maximum torque due to mechanism acceleration and deceleration is given by the peak torque in Fig. 3 (3.496 Nm). With these values, a safety factor of 3 was applied to account for  friction effects and other errors in assembly and fabricated part tolerances not considered in the simulation.

Figure 1. Motion analysis off the end of the table links.

Figure 2: Dynamic Analysis of the Middle Joint of the Table