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Re: some help please



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some help please

tinafong03 Jul 2008 15:45
I m writing a program to solve equations for some material properties, this is my first attemp:::

%initial attempt of the excel solver function
function solver123

%fixed values
a = 3.17728059841674;
b = -0.004077453872434;
c = -0.001108633782363;
d = -0.000376215283911;
E1 =170;
E2 =10;
E=E1/E2;
v12 =0.335;
alpha1 =5*10^-7;
alpha2 =28*10^-6;
delT =-156;

%Constant C1-C17
C1 = 9*a*b^2*(1+E);
C2 = 9*a^2*b*(1+E);
C3 = 20*a*b^2*v12;
C4 = 20*a^2*b*v12;
C5 = 60*b^2*(E-1);
C6 = 60*a^2*(1-E);
C7 = 120*a*b*(1-E);
C8 = 120*a*b*(E-1);
C9 = 240*b*(delT*(alpha1*E+alpha1*v12+alpha2*v12+alpha2) ...
   -d*(1+E) -2*c*v12);
C10 = 240*a*(delT*(alpha1*E+alpha1*v12+alpha2*v12+alpha2) ...
   -d*(1+E) -2*c*v12);
C11 = 240*b*(delT*(alpha1*E+alpha1*v12+alpha2*v12+alpha2) ...
   -c*(1+E) -2*d*v12);
C12 = 240*a*(delT*(alpha1*E+alpha1*v12+alpha2*v12+alpha2) ...
   -c*(1+E) -2*d*v12);
C13 = 960*a*(1+E)+1920*b*v12;
C14 = 960*b*(1+E)+1920*a*v12;
C15 = 2880*(delT*(alpha1*v12-alpha1*E-alpha2*v12+alpha2)+c*(E-1));
C16 = 2880*(delT*(alpha1*E-alpha1*v12+alpha2*v12-alpha2)+d*(1-E));
C17 = a*b*(1+E);
C18 = 2*a*b*v12;
C19 = 12*a*(1-E);
C20 = 12*b*(E-1);
C21 = 48*(delT*(alpha1*E+alpha1*v12+alpha2*v12+alpha2) ...
   -c*(1+E)-2*d*v12);
C22 = 48*(delT*(alpha1*E+alpha1*v12+alpha2*v12+alpha2) ...
   -d*(1+E)-2*d*v12);

%dW equations
%Lx =x(1), Ly =x(2), H =x(3)
F = @(x) [(C1*x(1)*x(1)+C3*x(2)*x(2)+C5*x(3)+C9)*x(1)*x(1) ...
   +(C1*x(2)*x(2)+C7*x(3)+C11)*x(2)*x(2) ...
   +(C13*x(3)+C15)*x(3); ...
   (C2*x(1)*x(1)+C4*x(2)*x(2)+C8*x(3)+C10)*x(1)*x(1) ...
   +(C2*x(2)*x(2)+C6*x(3)+C12)*x(2)*x(2) ...
   +(C14*x(3)+C16)*x(3); ...
   C17*x(2)*x(2)+C18*x(1)*x(1)+C19*x(3)+C21; ...
   C17*x(1)*x(1)+C18*x(2)*x(2)+C20*x(3)+C22];

InitialGuess = [0.25;0.25;0.001];
Options = optimset('Display','iter','TolX',1e-20,'TolFun',1e-20);
XY = fsolve(F, InitialGuess, Options);
format long
%display solutions for E1/E2,al1,al2,v12
XY(1)
XY(2)
XY(3)

%display solutions for the 4 equations (should be zeros)
ShouldBeZero = F(XY)

but this is what I keep getting :::

??? Error using ==> vertcat
CAT arguments dimensions are not consistent.

Error in ==> solver123>@(x)[(C1*x(1)*x(1)+C3*x(2)*x(2)+C5*x(3)+C9)*x(1)*x(1),+(C1*x(2)*x(2)+C7*x(3)+C11)*x(2)*x(2),+(C13*x(3)+C15)*x(3);(C2*x(1)*x(1)+C4*x(2)*x(2)+C8*x(3)+C10)*x(1)*x(1),+(C2*x(2)*x(2)+C6*x(3)+C12)*x(2)*x(2),+(C14*x(3)+C16)*x(3);C17*x(2)*x(2)+C18*x(1)*x(1)+C19*x(3)+C21;C17*x(1)*x(1)+C18*x(2)*x(2)+C20*x(3)+C22] at 49
F = @(x) [(C1*x(1)*x(1)+C3*x(2)*x(2)+C5*x(3)+C9)*x(1)*x(1) ...

Error in ==> fsolve at 193
       fuser = feval(funfcn{3},x,varargin{:});

Error in ==> solver123 at 61
XY = fsolve(F, InitialGuess, Options);

What does this message mean?
How can the problem be solved?
Many thanks.

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