Composite Plate Bending Analysis With Matlab Code <FHD 2027>

%% Finite Difference Grid Nx = 41; Ny = 25; % odd numbers to include center dx = a/(Nx-1); dy = b/(Ny-1); x = linspace(0, a, Nx); y = linspace(0, b, Ny);

[ \left(\frac{\partial^4 w}{\partial x^4}\right) {ij} \approx \frac{w {i-2,j} - 4w_{i-1,j} + 6w_{i,j} - 4w_{i+1,j} + w_{i+2,j}}{\Delta x^4} ] Composite Plate Bending Analysis With Matlab Code

Boundary conditions (simply supported): [ w = 0,\quad M_{xx}=0 \Rightarrow \frac{\partial^2 w}{\partial x^2}=0 \text{ on } x=0,a ] (same for y-direction) %% Finite Difference Grid Nx = 41; Ny

fprintf('D Matrix (N.m):\n'); disp(D);

% Max deflection fprintf('Max deflection = %.2e m\n', max(w(:))); Ny = 25