Matlab Codes For Finite Element Analysis — M Files Hot

% 2. Modify Force Vector for known boundary values % F_reduced = F_free - K_freeBC * T_bc F_reduced = F_global(free_nodes) - K_global(free_nodes, [bc_node_left, bc_node_right]) * [T_left; T_right];

% Assemble into global matrices K_global(nodes, nodes) = K_global(nodes, nodes) + Ke; M_global(nodes, nodes) = M_global(nodes, nodes) + Me; F_global(nodes) = F_global(nodes) + Fe;

−∇⋅(k∇T)=Qnegative nabla center dot open paren k nabla cap T close paren equals cap Q matlab codes for finite element analysis m files hot

clear; clc; close all;

% Right boundary for node = right_boundary' K_modified(node, :) = 0; K_modified(node, node) = 1; F_modified(node) = T_right; end bc_node_right]) * [T_left

%% Problem Definition % Example: 2D plate with heat source and convection

- Matrix Assembly

% Coordinates x1 = nodes(node1, 2); y1 = nodes(node1, 3); x2 = nodes(node2, 2); y2 = nodes(node2, 3);

%% Output Results fprintf('\n=== Thermal Analysis Results ===\n'); fprintf('Maximum temperature: %.2f °C\n', max(T_solution)); fprintf('Minimum temperature: %.2f °C\n', min(T_solution)); fprintf('Average temperature: %.2f °C\n', mean(T_solution)); % Assemble into global matrices K_global(nodes