How to calculate Damping ratio and Damping frequency in matlab

Published by Admin on

What is damping ratio?

The damping ratio is a parameter, usually denoted by ζ (zeta), that characterises the frequency response of a second order ordinary differential equation. It is specifically important in the study of control theory. It is also important in the harmonic oscillator.

The damping ratio provides a mathematical means to express the level of damping in a system relative to critical damping. For a damped harmonic oscillator with mass m, damping coefficient c, and spring constant k, it can be defined as the ratio of the damping coefficient in the system’s differential equation to the critical damping coefficient:

Damping ratio and damping frequency can be analysed in using matlab tool.

System

Consider the system:

Matlab code:

clc
clear all
close all
num=[400];
dnum=[1 12 400]
system=tf(num,dnum)
omega=sqrt(dnum(3))
zeta=dnum(2)/(2*omega)
step(system)

Results:

Matlab file

Click here to download the matlab file.

If you want step by step guide for how to implement this code and view results please visit the youtube link: https://www.youtube.com/watch?v=SB2ydMtZxM8

As usual, if you happen to run into some problem while following the steps, please make sure to let us know in the comment section below, and we’ll do our best to solve it. Apart from that, you can contact us on Facebook and Twitter, however we can’t guarantee you an as rapid a reaction time over on those platform


0 Comments

Leave a Reply

Your email address will not be published. Required fields are marked *

× How can I help you?
%d bloggers like this: