Question

The question is for MATlab for an ENG 1007 class

Write a function ?????????(?, ?, ?, ?_1 , ?_1 ,?) that

a. Calculate the natural frequency of the system, ?_n = (k/m)^.5.

b. Calculate the critical damping coefficient, C_c = 2??_n.

c. If c =0, then use Undamped () to calculate values of x.

d. If c >C_c, then use Overdamped () to calculate values of x.  A_1 = (-c/2*m)+((((c/2*m)^2) - (k/m))^.5) and  A_2 = (-c/2*m) - ((((c/2*m)^2) - (k/m))^.5).

e. If c =C_c, then use CriticallyDamped () to calculate values of x.

f. If c < C_c then use Underdamped () to calculate values of x.

g. Output x

Answer 1

`Hey,

Note: Brother in case of any queries, just comment in box I would be very happy to assist all your queries

Note: Brother since the function underdamped critically damped are not given. So, please add it before running. In case of any queries comment.

function Vibration(k,m,c,x_1,v_1,t)
w_n=sqrt(k/m);
C_c=2*m*w_n;
if(c==0)
x=Undamped();
elseif(c>C_c)
A_1 = (-c/2*m)+((c/2*m)^2);
A_2 = (-c/2*m) - ((((c/2*m)^2) - (k/m))^.5);
x=Overdamped();
elseif(c==C_c)
x=CriticallyDamped();
elseif(c<C_c)
x=Underdamped();
end
end

Kindly revert for any queries

Thanks.