How to plot time vs displacement?

Hi i'm not great at coding on MATLAB and need help to to find the dynamic response to a 5 DOF system with intitial displacments (velocity = 0) over a certain time period. I need to find the minimum and maximum displacements of a specific node in this time period. There is no damping.

The equation is in the form Ut = @(t) A1*cos(w1*t) + A2*cos(w2*t) + A3*cos(w3*t) + A4*cos(w4*t) +A5*cos(w5*t) where Ai is a 5x1 vector and w are the natural frequency constants.

u0 = [u1; u2; u3; u4; u5] is the initial displacement at each node

udot0 = 0

t0 = 0 start time

tf = 779.3 end time

dt = 7.1 time increment

How would I program this so that I get the values at each node for each time step and then get the maximum and minimum value for one of the nodes? Is there a way to simulate the system visually on matlab?

Sorry to be vague, I am just wanting tips for a novice.

Answer 1

[KSSV]

Demo EXample:

t0 = 1 ; t1 - 10; dt = 0.01 ;
u = @(w,t) = cos(w*t) ; 

t = t0:dt:t1 ; 
w = 2*pi ;
s = u(w,t) ;

plot(t,s)

[Shaun Labuschagne]

I want to produce the values at each time step aswell, how would I set up a loop to do this?

[KSSV]

t0 = 1 ; t1 - 10; dt = 0.01 ;
u = @(w,t) = cos(w*t) ; 

t = t0:dt:t1 ; 
w = 2*pi ;
n = length(t) ;
s = zeros(1,n) ; 
for i = 1:n
    s(i) = u(w,t(i)) ;
end

plot(t,s)

Answer 2

[akshata]

t0 = 1 ; t1 - 10; dt = 0.01 ;

u = @(w,t) = cos(w*t) ;

t = t0:dt:t1 ;

w = 2*pi ;

n = length(t) ;

s = zeros(1,n) ;

for i = 1:n

s(i) = u(w,t(i)) ;

end

plot(t,s)