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          DESIGN Method  | 
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          FORCES | 
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          The acceleration values that act on the mechanism during launch were 
          taken from the Rail Gun Acceleration Time Histories (Figure 1.0) graph 
          shown below provided by Raytheon. These values were acquired by 
          measuring the forces when launched from a 155mm Howitzer with "soft 
          catch" capabilities. | 
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          Figure 1.0 - Rail Gun Acceleration Time Histories | 
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          The launch accelerations are treated as DC acceleration of: Set Back = 
          10,000G, Balloting = 3,300G, and Set Forward = 2,000G. Set Back is the 
          initial compression of the device upon the launching explosion acting 
          normal to the mechanism . Balloting is the vibration of the projectile 
          as it travels through the launch tube, coming in contact with the tube 
          walls and is considered in plane with the lens and mechanism. Set 
          Forward is a rebound occurring as a result of the initial launch 
          acceleration and results normal to the mechanism in the opposite 
          direction of the Set Back. 
          During flight and 
          mechanism operations, the accelerations are greatly reduced. The 
          following forces were specified by the client: Lateral Acceleration 
          0-3G, Lateral Vibration 5G.   | 
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          ANALYSIS | 
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          The analysis of the design 
          is limited to static linear analysis due to time restraints. Success 
          in ductile components by Raytheon is defined as:
            - Permanent 
            deformation of optical surfaces are within tolerances defined by the 
            optical engineer
 
            - Permanent 
            deformation of support structures for the optical and antenna 
            elements does not result in displacements of the elements greater 
            than their allocated tolerances
 
            - No interference may 
            occur with other components
 
            - No ultimate failures 
            may occur with the device
 
            - Allocations may be 
            made for plastic deformation at launch
 
           
          Analysis methods used 
          include hand stress calculations in critical areas using Von Mises 
          stresses. Finite Element Analysis was used in the analysis of the 
          positioning arm.   | 
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          Figure 2.0 - A capture of the FEA mesh for positioning arm, counter 
          balance, lens, and bushing using COSMOS/M software. Also a plot of the 
          Von Mises stress of the components under 10KG static loading. | 
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          Adam's Dynamic Analysis software was used to analyze and model the 
          movement of the positioning arm during different loading cases. The 
          actuation time for the solenoid was determined to be 0.027 seconds, 
          and the spring return time was 0.028 seconds. Below is a capture of 
          the Adam's model during the mechanism actuation. An angle vs. time 
          graph is shown and helps show how the actuation times were determined. | 
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          Figure 2.1 - Adam's model of mechanism movement and angle vs. time 
          graph. By Clicking Here 
          or on the picture below, a small AVI file will play, showing the 
          movement of the arm. | 
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          PROTOTYPE | 
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          A drawing of the final 
          prototype and components was created using Mechanical Desktop 6 and is seen below in Figure 2.0.  | 
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          Figure 2.0 - Final Prototype CAD Drawing | 
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