Plotting damped sine travelling wave equation in Matlab
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Greetings all,
Please correct me if I am wrong on any of this, but I am trying to plot a damped/attenuating sine wave of the form y(x,t)=Ae^-alpha(x) * sin(wt-Bx + phi).
Granted the sin is not in the exponential, I've been trying to code this up knowing that travelling waves have spatial as well as temporal dimensions.
The code I have after user input is:
x=0:.001:1;
Beta = 2*pi/lambda; %(lambda is user input)
y1=zeros(100,100);
for t=0:.001:1
y1(t,:)=A*sin(Beta*x-w*t + phi).exp(-alpha*x)
end
%A, alpha, w, and phi are user input as well
So I'm getting a "Subscript indices must be either real positive integers or logicals." Where am I going wrong?
Also, I am trying to plot this damped wave - do I need to use plot3? If so, why?
Thanks!
-J
1 件のコメント
Prasad Reddy
2020 年 4 月 24 日
y1(t,:)=A*sinBeta.*x-w*t+phi).*exp(-alpha.*x)
please check the above equation. it may work.
you need not to use plot3 command.
採用された回答
KSSV
2020 年 4 月 24 日
編集済み: KSSV
2020 年 4 月 24 日
You index t, is taking zero for the first time. Indices cannot be negative and zero in MATLAB. You need not to use loop, you can follow as below.
clc; clear al ;
A = rand ;
lambda = rand ;
w = rand ;
phi = rand ;
alpha = rand ;
x=0:.001:1;
Beta = 2*pi/lambda; %(lambda is user input)
t=0:.001:1 ;
[X,T] = meshgrid(x,t) ;
Y1 = A*sin(Beta*X-w*T + phi).*exp(-alpha*X) ;
surf(X,T,Y1)
0 件のコメント
その他の回答 (2 件)
Deepak Gupta
2020 年 4 月 24 日
Your y1 seems to be function of two variables x and t so yes, you will need to use plot3 at it will plot y1 against two variables.
You can try below code to find value of y1:
x=0:.001:1;
t =(0:.001:1)';
Beta = 2*pi/lambda; %(lambda is user input)
y1=zeros(1001,1001); % y1 should have same dimention as x*t matrix.
y1=A*sin(Beta*x-w*t + phi).*exp(-alpha*x)
plot3(t, x, y1)
0 件のコメント
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