the following 2nd order differential equation is given:(adsbygoogle = window.adsbygoogle || []).push({});

2y'' + 4y' +8y=8x.....................................(1)

i want to find damping ratio, undamped natural frequency, damping ratio coefficient and time constant for the above system.

solution:

comparimg (1) with general system equaion

(veriable can be exchanged)

{where: x(t) = Response of the System,

u(t) = Input to the System,

z= Damping Ratio,

wn=Undamped Natural Frequency,

Gdc= The DC Gain of the System.}

damping ratio z or zeta:

2zw=2

w=2 so z=2/4=0.5

undamped natural frequency w or omega:

w=2 but correct ans is 1. any help?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Finding the undamped natural frequency of 2nd order system

Tags:

**Physics Forums | Science Articles, Homework Help, Discussion**