Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

MATLAB Simulink Simulations-Mathematical Modeling and Simulation-Assignment, Exercises of Mathematical Modeling and Simulation

This assignment is for Mathematical Modeling and Simulation assigned by Dr. Raima Ullal at Jaypee University of Information Technology. Its main pints are: Simulation, Simulink, Compare, Solve, Initial, Conditions, Symbolic, Computing, Nonlinear

Typology: Exercises

2011/2012

Uploaded on 07/03/2012

surii
surii 🇮🇳

3.5

(13)

130 documents

1 / 1

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Mathematical Modeling & Simulation
Home Work # 3
Due date: 8 days after the distribution.
1. Employing MATLAB-Simulink, perform a simulation of y versus time
t = 0.1 and
9.00 t
. Employ a
method of your choice and compare it with the exact solution:
2
ty
dt
dy
, where y(0) = 1.0
Vary the step size and observe the effect on accuracy. Plot results.
2. Solve a simple second order differential equation on Simulink:
Adt/xd
22
for various choices of A. Plot results on one graph.
Use x(0) = 0.0, dx/dt = 1.0 at t=0. Then Plot the x(t) versus time on
a graph and then also plot on separate graph dx/dt versus x(t) on
a graph for various values of initial conditions.
3. A mass (m = 1kg) is falling under gravity from height h = 500 m. At
y = 100 m, velocity = 0 at time t = 0. and y(0) = 100. Consider that
the acceleration due to gravity g is function of y (altitude) and a
drag force is proportional to the square of the velocity (with
proportionality constant equal to 1.0). After develop the equation-
based model of the system, simulate it using MATLAB-Simulink.
Plot results.
4. What do you understand by symbolic computing? What is meant
by an analytical solution of ODE by MATLAB? Try solving a simple
nonlinear second order differential equation:
tsinAdt/xd
22
using MATLAB-simulink. Use x(0) = 0.0, dx/dt = 1.0 at t=0.
Choose different time steps and values of A.
Docsity.com

Partial preview of the text

Download MATLAB Simulink Simulations-Mathematical Modeling and Simulation-Assignment and more Exercises Mathematical Modeling and Simulation in PDF only on Docsity!

Mathematical Modeling & Simulation Home Work # 3

Due date: 8 days after the distribution.

  1. Employing MATLAB-Simulink, perform a simulation of y versus time t = 0.1 and 0  t  0. 9. Employ a method of your choice and compare it with the exact solution:

y t^2 dt

dy   , where y (0) = 1.

Vary the step size and observe the effect on accuracy. Plot results.

  1. Solve a simple second order differential equation on Simulink:

d^2 x/dt^2  A for various choices of A. Plot results on one graph. Use x(0) = 0.0, dx/dt = 1.0 at t=0. Then Plot the x(t) versus time on a graph and then also plot on separate graph dx/dt versus x(t) on a graph for various values of initial conditions.

  1. A mass (m = 1kg) is falling under gravity from height h = 500 m. At y = 100 m, velocity = 0 at time t = 0. and y(0) = 100. Consider that the acceleration due to gravity g is function of y (altitude) and a drag force is proportional to the square of the velocity (with proportionality constant equal to 1.0). After develop the equation- based model of the system, simulate it using MATLAB-Simulink. Plot results.
  2. What do you understand by symbolic computing? What is meant by an analytical solution of ODE by MATLAB? Try solving a simple nonlinear second order differential equation: d^2 x/dt^2  Asint using MATLAB-simulink. Use x(0) = 0.0, dx/dt = 1.0 at t=0. Choose different time steps and values of A.

Docsity.com