Can someone please help me correct the error in my code? I'm trying to construct a superposition of two waves of equal amplitude and very similar frequency to create an envelope wave. Thanks

Question

trinikotch 2014-4-12

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/125566-can-someone-please-help-me-correct-the-error-in-my-code-i-m-trying-to-construct-a-superposition-of

编辑： trinikotch 2015-5-1

close all
clear all
clc
x=1:0.1:300;
%
a=1;%m
h=10;%m
k1=2*pi/(pi/2);%1/m  where k=2pi/wavelength
k2=2*pi/(pi/1.95);
g=9.81;%m/s^2
w1=sqrt(g*k1*tanh(k1*h)); %rad/s
w2=sqrt(g*k2*tanh(k2*h));
e= -pi + (2*pi).*rand(1,1);% phase is a random number between -pi and pi
T=100;%s
n=zeros(length(x),T);
t=1:0.1:T;
for m=1:length(t)
  n(:,m) = 2*a*cos(((w2-w1)*t(m)*0.5) - ((k2-k1)*x*0.5))) * cos(((w2-w1)*t(m)*0.5) - ((k2-k1)*x*0.5)));
plot(n(:,m),'b-','LineWidth',2);
axis([pi 100*pi -10 10])
title(['Propagating Plane Wave at time, t=' num2str(t(m)) ' s.'])
xlabel('Horizontal Excursion, m')
ylabel('Surface Elevation, m')
drawnow
pause(0.5)
end

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Answer 1

Alberto 2014-4-12

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/125566-can-someone-please-help-me-correct-the-error-in-my-code-i-m-trying-to-construct-a-superposition-of#answer_133187

在 MATLAB Online 中打开

Check the parenthesis in the line:

n(:,m) = 2*a*cos( ( (w2-w1)*t(m)*0.5) - ((k2-k1)*x*0.5))) *... cos( ( (w2-w1)*t(m)*0.5) - ((k2-k1)*x*0.5)));

your problem is there, it depends in

 close all
clear all
clc
x=1:0.1:300;
%
a=1;%m
h=10;%m
k1=2*pi/(pi/2);%1/m  where k=2pi/wavelength
k2=2*pi/(pi/1.95);
g=9.81;%m/s^2
w1=sqrt(g*k1*tanh(k1*h)); %rad/s
w2=sqrt(g*k2*tanh(k2*h));
e= -pi + (2*pi).*rand(1,1);% phase is a random number between -pi and pi
T=100;%s
n=zeros(length(x),T);
t=1:0.1:T;
for m=1:length(t)
 n(:,m) = 2*a*cos( ( (w2-w1)*t(m)*0.5) - ((k2-k1)*x*0.5)).*...
             cos( ( (w2-w1)*t(m)*0.5) - ((k2-k1)*x*0.5));
plot(n(:,m),'b-','LineWidth',2);
axis([pi 100*pi -10 10])
title(['Propagating Plane Wave at time, t=' num2str(t(m)) ' s.'])
xlabel('Horizontal Excursion, m')
ylabel('Surface Elevation, m')
drawnow
pause(0.5) % this is causin error too, you can delete it
end