%% 6. BOUNDARY CONDITIONS (Simply supported: w=0) fixed_dofs = []; for i = 1:nnode x_node = nodes(i,1); y_node = nodes(i,2); % Check if on boundary if (x_node == 0 || x_node == a || y_node == 0 || y_node == b) % Constrain w (DOF 3) fixed_dofs = [fixed_dofs, (i-1)*ndof + 3]; % Optionally constrain rotations? For simply supported: no end end % Also fix one node in-plane to prevent rigid body (u,v at a corner) fixed_dofs = [fixed_dofs, 1, 2]; % u,v at first node
Flexural analysis of laminated composite plates - ScienceDirect Composite Plate Bending Analysis With Matlab Code
For a plate of thickness ( h ), the displacements are: [ u(x,y,z) = z \theta_x(x,y), \quad v = z \theta_y(x,y), \quad w = w(x,y) ] y_node = nodes(i
Given the applied moments (e.g., from a distributed load), solve the simultaneous equations to find (i-1)*ndof + 3]
% Nodal load vector (uniform pressure p0 on w DOF) [Nw, ~] = shape_functions(xi, eta); Fe(1:3:end) = Fe(1:3:end) + Nw * p0 * detJ * a_elem * b_elem * wxi * wet; end end