Hi, I am working with symbolic variables for the first time and I am struggling when it comes to solving systems of equations. I have tried the typical methods I would use to solve it if it were not symbolic, but in this case, I can't seem to make it work.
The system of equations, expressed matrix-wise, that I am trying to solve is the following one:
in which the 6x6 matrix is known, the loads vector (left hand side) is symbolic and the strains vector (remaining one) is the unknown. I created F as
F = @(x) [Nx; Ny; Nxy; Mx; My; Mxy] - [Aij, Bij; Bij, Dij]*[x(1); x(2); x(3); x(4); x(5); x(6)];
where Aij, Bij and Dij are the 3x3 matrices shown in the previous image, therefore, what I want to do is that I want to find the strains as a function of the loads, but I do not get the desired result using fsolve, neither the typical x=A\b.
If it helps, at the beggining of the code I declared:
syms Nx Ny Nxy Mx My Mxy t
Aij = [99.18 19.3 0; 19.3 27.50 0; 0 0 22.02]*t;
Bij = [0 0 -2.24; 0 0 -2.24; -2.24 -2.24 0]*t^2;
Dij = [11.55 0.56 0; 0.56 1.10 0; 0 0 0.78]*t^3;
How would you solve the previous system of equations?
Thank you.
