Need help plotting this
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Amanda Lococo
on 13 Apr 2018
Commented: Star Strider
on 15 Apr 2018
I need help plotting this code so that my plot will look like the discontinuous sine waves (bolded black) in the graph posted below the code (for one unit cell). Right now my plot is showing up blank.
clear all;
format long;
im = sqrt(-1);
CellLength = 1;
ibeta = 1;
%Define materal properties
CellLength = 1;
layers = 2;
d = [0.4;0.6];
dTotal = d(1,1)+d(2,1);
xc = [0;0.4];
Ef = 12;
pf = 3;
cf = sqrt(Ef/pf);
Em = 1;
pm = 1;
cm = sqrt(Em/pm);
w = 5;
T1 = [cos(.2*w) (1/(6*w))*sin(.2*w); -6*w*sin(.2*w) cos(.2*w)];
T2 = [cos(.6*w) (1/w)*sin(.6*w); -w*sin(.6*w) cos(.6*w)];
T = T2*T1;
Z1 = 6*w;
Z2 = w;
Z = [Z1;Z2];
%Solve eigenvalue problem for k
[V,D] = eig(T); %D = eigenvalues, %V = eigenvectors
k1 = log(D(1,1))/(im*dTotal);
k2 = log(D(2,2))/(im*dTotal);
k = [k1;k2];
B1 = [1 1;im*30 -im*30];
B2 = [1 1;im*5 -im*5];
C1a = [1 0;0 1];
C2a = [exp(im*k2*0.4) 0;0 exp(-im*k2*0.4)];
a1 = inv(B1)*V(:,1);
a2 = inv(C2a)*inv(B2)*T1*B1*a1;
for x1 = 0:0.1:0.4
C1 = @(x1)([exp(im*k1*x1) 0;0 exp(-im*k1*x1)]);
C1 = C1(x1);
y1 = @(x1)(B1*C1*a1);
y1 = y1(x1);
end
for x2 = 0.4:0.1:1
C2 = @(x2)([exp(im*k2*x2) 0;0 exp(-im*k2*x2)]);
C2 = C2(x2);
y2 = @(x2)(B2*C2*a2);
y2 = y2(x2);
end
plot(x1,real(y1(1,:)))
hold on
plot(x2,real(y2(1,:)))
xlabel('Position, x')
ylabel('Displacement, u')
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/189413/image.png)
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Accepted Answer
Star Strider
on 13 Apr 2018
Two related problems are that the ‘y1’ and ‘y2’ functions do not use their arguments in their calculations. (I would also rename them ‘y1f’ and ‘y2f’ to avoid confusion with your ‘y1’ and ‘y2’ vectors.)
What do you want to do in those functions?
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