Matlab Linkage Position Analysis (Blackboard) Choose one of these: 1. any real-world machine/mechanism which contains an application of a simple mechanism. 2. a simple biomedical application like a prosthetic knee: eg.https://www.youtube.com/watch?v=6aWOnEAPY8o or https://www.youtube.com/watch?v=9pgVPSBHc2o. 3. the lower limbs of a cyclist during cycling. Choose a level of complexity you can manage to model. It should typically have 4 links. Subsequent velocity and acceleration analysis will be quite involved for more detailed systems. a.Determine/estimate the dimensions, masses & mass centre locations of the links and provide references for these. Using simple materials, construct a highly simplified scale model of your mechanism and make a video of it operating (you can move it by hand) and save the video for uploading to Blackboard. b.Determine/estimate the operating speeds and manufacturing/ assembly locations & provide references for these where possible. Use Matlab to plot the position of all the links throughout a complete cycle of the input. For example, for the crank slider this requires specification of the crank angle ??2 as a function of time and calculation of the angle ??3 for the connecting rod and the distance ??1 for the piston position. If your application is different, you will need to adapt accordingly. Your code should plot the motion as an animation, and should also provide separate plots of main link positions/angles as a function of time. You might use the template file Slider_Crank_template.m to help you with this, though significant modification is needed for some applications. You may also find this useful: See also https://github.com/jlblancoc/mechplot. c. Velocity analysis (to be covered later) d. Acceleration analysis (to be covered later) Deliverables: 1. A brief report outlining your choice of application in (a), documenting your estimates for the link dimensions, masses and mass centre locations, as well as manufacturing and assembly locations and references for these where possible. 2. Video of simple model. 3. Commented position analysis code for (b) above. Your graphic outputs might look something like this: Notes:  Submit your brief report for (1) and commented Matlab .m file for (2) and video via Blackboard by Tue Mar 1st .  Late Assignments will be penalized.  General Feedback will be provided by March 15th .  Submissions not accepted after March 15th .  This is the first of two related Matlab assignments worth 15% of the 3B5 module mark.  The second Matlab assignment builds on the first one: SO YOU MUST STAY UP TO DATE. 0 0.5 1 1.5 2 -1 0 1 2 3 4 5 6 7 time - s angle - rad crank (? 2 ) coupler (? 3 ) 0 0.5 1 1.5 2 0.62 0.64 0.66 0.68 0.7 0.72 0.74 0.76 0.78 0.8 time - s position - m piston position (r1 )

 

Part 1: Matlab Linkage Position Analysis (Blackboard) Choose one of these: 1. any real-world machine/mechanism which contains an application of a simple mechanism. 2. a simple biomedical application like a prosthetic knee: eg.https://www.youtube.com/watch?v=6aWQnEAPY8 Or https://www.youtube.com/watch?v=9pgVPSBHc20. 3. the lower limbs of a cyclist during cycling. Choose a level of complexity you can manage to model. It should typically have 4 links. Subsequent velocity and acceleration analysis will be quite involved for more detailed systems. a. Determine/estimate the dimensions, masses & mass centre locations of the links and provide references for these. Using simple materials, construct a highly simplified scale model of your mechanism and make a video of it operating (you can move it by hand) and save the video for uploading to Blackboard. b. Determine/estimate the operating speeds and manufacturing/ assembly locations & provide references for these where possible. Use Matlab to plot the position of all the links throughout a complete cycle of the input. For example, for the crank slider this requires specification of the crank angle as a function of time and calculation of the angle 03 for the connecting rod and the distance for the piston position. If your application is different, you will need to adapt accordingly. Your code should plot the motion as an animation, and should also provide separate plots of main link positions/angles as a function of time. You might use the template file slider_Crank_template.m to help you with this, though significant modification is needed for some applications. You may also find this useful: See also https://github.com/jiblanco/mechplot.