How do I plot 'standing wave(modal) solution' ?

Hi everyone, i am studying structural dynamics. I want to create modal wave shape solution, but i can't. x-axis should be (x/l) and y-axis should be (modeshape).

clear,clc

x=0:0.2:1;

l=0:0.2:1;

i=1:.001:10;

modeshape=sin(i*pi*(x/l));

plot(x/l,modeshape)

The modeshape formula

and the graphs that i want to plot

thanks a lot:)

Answer 1

[Sriram Tadavarty]

Hi Dilan,

You made a good try. Here are some suggestions, as the plot indicate for a ratio of x/l, you could make only one of them vary and make sure you get the limits for the axis. Then, there are different plots for different i., implies all of them are not together. So, here are some modifications that can be made

clear,clc
x=0:0.02:1; % Pass x from 0 to 1 at steps of 0.02
l=1; % Set l to 1
i=1:2; %1:.001:10; % Update with range of mode shape functions that are required
for index = 1:length(i)
    figure
    modeshape=sin(i(index).*pi.*(x./l));
    plot(x/l,modeshape)
    title(['Mode Shape ' num2str(i(index)) ])
end
% each mode shape is plotted in a different figure

Hope this helps.

Regards,

Sriram

[Dilan Kilic]

Sriram, thanks for information :) I understand where the problem is.

Regards,

Dilan.