Source Code and GUI Design Implementation for Topology Optimization Using MATLAB

In my graduation project, I developed MATLAB source code and designed a graphical user interface to implement topology optimization. The implementation utilizes triangular mesh generation for discretization, which provides flexible geometric representation and efficient finite element analysis. The core algorithm follows the Solid Isotropic Material with Penalization (SIMP) method, where material density distribution is optimized through iterative finite element analysis and sensitivity calculations. The MATLAB implementation includes key functions for mesh generation using delaunay triangulation, finite element analysis with stiffness matrix assembly, and optimization loops with optimality criteria updates. This topology optimization approach enables structural performance enhancement while minimizing material usage, making it valuable for engineering applications requiring weight reduction and mechanical efficiency. Through this project, I deepened my understanding of optimization theory and significantly improved my programming skills in numerical methods and GUI development using MATLAB's App Designer framework.