Week 3 - Solving second order ODEs
Creating Animation And Simulation of simple pendulum by solving second oder odes in MATLAB
AIM :-
To simulate and animate the motion of transient behavior of system or simple pendulum
In engineering ode is used to describe the transient behavior of system and simple example is pendulum
The way of pendulum moves depends on Newtons second law. When this law is written down we get a second order differential equation that describes the position of the ball with respect to time
Similarly there are hundreds of ODEs that describe key phenomena and if you have the ability to solve these equations then you will be able to simulate any of these system.
Your objectives is to be write a program that solve the following ODE this ODE represents the equation of motion of simple pendulum with damping.
Here the given parameters of odes
L = 1 metre,
M = 1 kg,
b = 0.05.
g = 9.81 m/s2.
Angular velocity = 3 rad/sec
Motion simulation time = 0 – 20 sec
Step 1 :-
Script functions used ode
Step 2 :-
Write program as follows.
Step 3 :-
Creating simulation and animation of pendulum in MATLAB
Output :-
Output video link :-