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

Question

Dilan Kilic 2020-3-21

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评论： Dilan Kilic 2020-3-21

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:)

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Answer 1

Sriram Tadavarty 2020-3-21

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在 MATLAB Online 中打开

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