how to repeat a function after fixed interval?

Below is the code.

clc
clear all

t=0:0.01:1;
for i=1:length(t)
    
    y(i)=2*sqrt((6*(t(i))));
    
end
plot(t,y)

#########################################

The above code runs one time and plots in one time interval od 1s (t=0:0.01:1 - as defined in fourth line of code).

I want it to be repeated for several times in a larger set of t (say t in 0:100) with same time interval (as defined in fourth line of code). Please help me do this.

Answer 1

[Dyuman Joshi]

Like this?

incr = 0.01;
t = (0:incr:1)';
y = 2*(6*t).^(1/2);

%For 100, the plot looks quite cramped
val=10;

t0 = (0:val-1);
T = t+t0;
plot(T,y)

[Pulak Kumar Ray]

Thanks, Dyuman Joshi for answering. Since I am new to MATLAB, your answer is a learning for me.

I may be wrong in interpreting your answer.

As it appears, the second part code you wrote is just for plotting purposes.

However, the function y is just a part of a bigger code that will be used further in the calculation with the same time interval.

Please go through the picture posted for illustration. The right side of the plot is y plotted in one cycle. On the left side, the same function is plotted with time (showing more than one cycles).

[Dyuman Joshi]

"As it appears, the second part code you wrote is just for plotting purposes."

t0 was added to t to repeat the given part multiple times.

T is a mxn array, whereas y is mx1 array. (m and n are placeholders)

Refer to this particular part of documentation of plot() for more info - Input Arguements to plot()

I understand now that you want to make a continuous plot.

Method 1 -

incr1 = 0.01;
t = (0:incr1:1)';
y = 2*(6*t).^(1/2);

val=10;

incr2 = max(t)-min(t);
t0 = (0:incr2:val-1);
T = t+t0;

%To plot as a single line
%reshape T as a vector, and repeat values in y according to the size
T = reshape(T,[],1);
y = repmat(y,val,1);

plot(T,y,'r-')
xlim([-1 11])

As you can see, In this method the plot ends at an upper value. You can do slight modifications -

T = [T;T(end)];
y = [y;0];
figure
plot(T,y,'b-')
xlim([-1 11])

[Dyuman Joshi]

Method 2

You can incorporate the above modification in the first step, so that the curve that repeats itself end on a lower value -

incr1 = 0.01;
t = (0:incr1:1)';
y = 2*(6*t).^(1/2);


t = [t;t(end)];
y = [y;0];

figure
plot(t,y)
xlim([-1 2])

val=10;
incr2 = max(t)-min(t);
t0 = (0:incr2:val-1);
T = t+t0;

figure
plot(T,y,'g-')
xlim([-1 11])

Answer 2

[Bruno Luong]

f_on_1period = @(t) 2*sqrt((6*(t)));
period = pi;
f_periodic = @(t) f_on_1period(mod(t,period));

t=0:0.01:20;
y = f_periodic(t);

plot(t,y)

[Dyuman Joshi]

@Pulak Kumar Ray