Using MATLAB with Python Programming Project Assignment

Assignment Task

You have to undertake the project with MATLAB PYTHON and related libraries.The submission of the project report and the runnable Matlab and python files is done as a zip file Please make sure that the files contained in the zip file are runnable (if necessary, ask a Tearn member to check this!). Result files that are created automatically during the run of Mathematica Matlab and Python are not to be submitted - in particular, the created videos should not be uploaded as avi files.

These will be recreated during a Matlab run of the submitted files. The zip file should contain a project report (documented Mathernatica file), a folder with the Matlab files (the Matlab file to be run should be named "main"), and the Mathernatica file and Python files.

The files are to be documented in a comprehensible manner, which is to be done in the form of grain comments in the program and correspondingly clearly labeled graphics. All variables used in the project report (masses, distances, forces, etc.) must be clearly recognizable in the graphic (sketch)

Specification

The tribok T shown in Figure 1, which adheres to the ground in any state of motion, consists of the outlined structure with the cylindrical mass K (mass mk ) and the point mass P1 (mass m1 ). The cylindrical mass K is connected into the beam B. The point mass P1 also serves as a projectile and is connected to the beam B by a rod at point F. The beam B is connected to the point F by a rodless rod. The beam B is articulated at point D. The rotational damping d1 in the bearing should be taken into account.

Task

a) Set up the equation of motion of the tribok using Mathematica.

The following principles are to be applied

• Newton - Euler method Principle according to Jourdain or principle according to dealer Bert
• In the computational report, all three variants should be there

b) Simulate the equation of motion in Matlab and Python. The values of the parameter are to be selected by itself.

c) For further tasks the model should be extended as shown in Figure 2:

The tribok is placed on two wheels (mass mR , mass load-bearing ΘR). Sliding is excluded in the rolling contact. The beam B is now considered to be wetted (mass mB , mass moment of inertia ΘB ). Furthermore, the cylindrical mass K is to be connected frictionless and articulated to the beam B at point E by a rod with mass (mass mS , mass moment of inertia ΘS ). Lifting of the wheels from the ground is excluded. In order to stimulate the tensioning process, the beam is loaded with a constant MSpann up to the time tSpann , which then abruptly becomes 0.

d) Simulate the set up in c) in Matlab and Python. You choose the values of the parameters.

e) Examine the movement behavior of the System in more detail, idem you vary Parameter. Try to answer the following questions:

• How does the model behave when the parameters change?
• Which parameters particularly influence the behavior of the system?
• Is the energy of the system constant and if so, why?

f) All numeric results are to be evaluated graphically, and videos are to be created in Matlab for the motion sequence. The drop angle ψ∗ is to be determined and displayed in the video.

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