plot a function of 2 variables inside a for loop

2021 12 7
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I have this equation where A,B are onstants and E= ( 1-( ((1-B)/2.*J).*(1+(E.*J/(A*B)))*sqrt(E.*J.*A/B) ));
I need to plot E as J varies from 0:300 however when I evaluate E inside a for loop from 0:300 using solve command I get error in using indices. This is the piece of code:
A=5;
B=0.9;
J=0:300;
syms E J
for i= 1:lenght(j)
E(i)= solve(( 1-( ((1-B)/2.*J(i)).*(1+(E(i).*J(i)/(A*B)))*sqrt(E(i).*J(i).*A/B) )),J(i));
end

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Rik
Rik 2021-12-7

0 个投票

You are overwriting J and using j in your loop definition.
You should define an array to hold the result. Then you can define E as a symbolic variable. Since J has a definite value, it is not symbolic.
Also, don't use i or j as variable names and use numel or size instead of length.
The last change you need to make is to not index E. You could also use J directly in the for loop definition, but that is a matter of taste.

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Kim Ibrahim
Kim Ibrahim 2021-12-7
编辑：Kim Ibrahim 2021-12-7
I have tried your comments and got : "Dimensions do not match error"
and the code:
A= 0.9;
B= 5;
J= 1:300;
E=[];
syms E
for k=1:numel(J)
E=solve(( 1-( ((1-A)/2.*J).*(1+(E.*J/(A*B)))*sqrt(E.*J.*B/A) )),J);
end
Kim Ibrahim
Kim Ibrahim 2021-12-7
and when I use indexing for both E and J i get "Unable to perform assignment because the left and right sides have a different number of elements."
Rik
Rik 2021-12-7
Ran in:
Ran in:
A= 0.9;
B= 5;
J= 1:300;
E_sol=zeros(size(J));
syms E
w=warning('off','symbolic:solve:PossiblySpuriousSolutions');
for k=1:numel(J)
%You should solve for E, since you want to know the value of E
tmp=solve(( 1-( ((1-B)/2.*J(k)).*(1+(E.*J(k)/(A*B)))*sqrt(E.*J(k).*A/B) )),E);
if k==1,tmp,end %debug information
tmp=double(tmp);
if k==1,tmp,end %debug information
%You probably want to select the real solution
[imag_val,ind]=min(abs(imag(tmp)));
if imag_val > 2*eps
warning('J=%.0f did not return a real solution',J(k))
E_sol(k)=NaN;
continue
end
E_sol(k)=tmp(ind);
end
tmp = 
tmp =
0.9477 + 0.0000i -4.9738 - 2.2222i -4.9738 + 2.2222i
Warning: J=50 did not return a real solution
Warning: J=100 did not return a real solution
Warning: J=150 did not return a real solution
Warning: J=200 did not return a real solution
Warning: J=250 did not return a real solution
Warning: J=300 did not return a real solution
warning(w);%reset warning state
E_sol
E_sol = 1×300
0.9477 0.1523 0.0483 0.0209 0.0108 0.0063 0.0040 0.0027 0.0019 0.0014 0.0010 0.0008 0.0006 0.0005 0.0004 0.0003 0.0003 0.0002 0.0002 0.0002 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001

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