How I get Damping coefficient and Natural frequency

I would like Know the Damping coefficient and Natural frequency from a transfer function like this

H(s)=(b*s+k)/(m*s^2+b*s+k*s)

thanks

Answer 1

[Ameer Hamza]

If values of constants are known, then you can use damp() function

b = 0.2;
k = 0.5;
m = 1;

sys = tf([b k], [m b k]);
damp(sys)

Result

         Pole              Damping       Frequency      Time Constant  
                                       (rad/seconds)      (seconds)    
                                                                       
 -1.00e-01 + 7.00e-01i     1.41e-01       7.07e-01         1.00e+01    
 -1.00e-01 - 7.00e-01i     1.41e-01       7.07e-01         1.00e+01   

[Gustavo Araujo]

Hey there!

One question: and if the value of constants are unknown? How to proceed?

Regards.

[Ameer Hamza]

Then you need to use the symbolic toolbox and write down the equation of the damping coefficient manually. You will not be able to use damp() function.