Exam ws2021 22(2) 2023 of simulink

Exam WS2021 22(2) UsersgoettingDocumentsVorlesungenComputer 1269515yfyjchbbhgkcvgfxdtrsecgghlluhitytfrxhzwrrhtfxhfjcgtfjydrjsesresxdghcjgvSciencesExamsWS20222 23Group 2Exam WS2021 22(2) docx Fachbereich Technik Department of Mechanical Engineering Prof Dr Rüdiger Götti.

Fachbereich Technik

Department of Mechanical Engineering

Prof Dr Rüdiger Götting

Exam WS2022/23 (2) – Computer Sciences

Create a Simulink model of following ODE and run the simulation from a script and plot

Include answers to questions from below

ODE to solve:

𝐼 ∙ 𝑥̈(𝑡) + 𝑏 ∙ 𝑠𝑎𝑡,𝑥̇(𝑡) + 𝑎 ∙ 𝑥(𝑡) = 𝑔(𝑡)

𝑔(𝑡) = 𝑀!∙ sin (𝜔!𝑡)

𝑠𝑎𝑡,𝑥̇(𝑡) is a Saturation block (upper/lower limits = ±𝑠)

Additional informations:

• Simulation time: 𝑡𝑒𝑛𝑑 = 75𝑠𝑒𝑐

• Initialize all parameters of model in a script

• Solver: ode23, max step size: 0.1, relative accuracy: 10"#

• Log signal 𝑥(𝑡) to MATLAB workspace variable x (data type 𝐷𝑎𝑡𝑎𝑠𝑒𝑡)

• Run the simulation from a script and plot 𝑥(𝑡)

Parameters:

𝐼 = 2

𝑎 = 2

𝑏 = 2

𝑥! = 0.5 – initial value of x(t) = x(0)

𝑀! = 10

𝜔! = 25

𝑠 = 0.1

Fachbereich Technik

Department of Mechanical Engineering

Prof Dr Rüdiger Götting

Questions MATLAB

Answer in MATLAB Script:

1) Code for loops to find the number 17 in matrix M Print results 𝑖, 𝑗, 𝑀(𝑖, 𝑗) in for-mat "M(i,j)=<element>” and finally set element to 0

Initialize matrix:

>> rng(87346538);

>> M= randi(20,10,10);

Use commands dispf() or compose()

2) Implement question 1) without for loop (Address element of M by column, row index as M([i,j])

3) Display a histogram of 1000 numbers from a Gaussian distribution Add labels and title to figure

Generate pseudorandom numbers with seed value:

>> rng(87346538);

4) Calculate the tangent of 30°, 45°, 60° using a symbolic variable

5) Define a function that returns the product of cos(x)*sin(y) x, y are arrays of same size

Test with identical arrays x, y:

>> x= [1:20]*pi/20

Enter your answers as comment or code in a MATLAB script!

Fachbereich Technik

Department of Mechanical Engineering

Prof Dr Rüdiger Götting

Questions Python

Create a Jupyter Notebook:

1) Create a 4x4 random integer number matrix Sum the columns and the rows 2) Create a list of 10 numbers, sort the list and calculate the exponential values

𝑒$

3) Print values from a tuple 1,3,4,"five",6,7 using a list comprehension and format-ted output: "Number 1" etc

You have to submit a zip-archive of the project folder (delete folder slprj)