Sketching Sine

thingiverse

The Sketching Sine mechanism is designed to help students to understand how the unitary circle works, in this mechanism they can easy appreciate the variables (frequency, amplitude and phase angle) which the sine waveform is consisting of and how they can manipulate them to sketch diverse outputs, this model is based on the cam mechanism which also transform the model in a good example to understand the dynamics of this mechanism for engineer students , we provided a basic set of gears but the model is customizable just change the ratio of the train gear and you will have changed the frequency of the Sine. How I Designed This Step 1 "Imagine mathematics" I started imagined how to translate the math and its variables into a physic model, I realized that I needed to have movement in two directions in order to create the Sine and these ones have to be connected because one depend on the other. Step 2 "First movement" The rack is easy to understand and 3D printers can make everything so we solved the problem of translation in one direction just having a pinion and rack. Step 3 "Ouput (Second movement)" Because the pinion is connected to the input gear on the central floor (pinion is on the first floor) and in this part the ratio of the gears modified the frequency of the Sine and the output gear connected to the gear on the third floor and the this one translate moment to the Cam wheel and that how we can solved the second direction movement. The Cam is moving back and forth the pen holder Sketchin Sine Animation Project Objectives Objective A: Exemplify in a tangible model a basic mathematic function and its parameters and how each of them are changing the function depending on their value. Objective B: Exemplify in a tangible model a cam mechanism and one of its multiple applications, analyze from the beginning how gears and cams working together produce a desirable output. Audiences Audiences A: We focused in secondary school students, in this period it’s when they have their first approach to trigonometry field thus we believe that it’s easiest to learn when you can see, touch and listen. Audiences B: We focused in High School and engineering students, it’s complicated to imagine how each component is moving in such a way that other component is moving depending on its move and in engineering this type of mechanism are a little bit confusing, however we wanted to make the thing easier. Conceiving the idea As we mentioned before in "How I design this" tab, we started imagine what might be handful for student to understand trigonometry functions as Sine and Cosine, then we sketched in paper a couple of ideas and "debugged" them; there are some helpful websites like RushGear where we sought for commercial gears and some other useful calculations. After that we started to design in Solidworks a useful piece of software really easy to use and with an awesome motion analysis. Results According with the simulation everything looks to work find, I don't have a 3D printer but I can edit the model if some of you mark some errors, I tried to design the pieces in order that everything could be printed good.