MATLAB Finite Element Toolbox Implementation

This document introduces a finite element toolbox implemented using MATLAB. The toolbox incorporates various element types including planar beam elements, bar elements, and solid elements for spatial analysis. The finite element method (FEM) is a numerical technique for solving physical problems in continuum mechanics. The MATLAB implementation utilizes object-oriented programming to create element classes with standardized stiffness matrix computation methods. Key functions include mesh generation algorithms, assembly routines for global stiffness matrices, and solvers for linear static analysis. Through this toolbox, users can calculate and simulate mechanical behaviors of structures, applying these computational results in practical engineering projects. The implementation features modular design allowing easy extension with new element types and material models. Thus, this finite element toolbox serves as a valuable resource for engineers and scientists to better understand and solve real-world problems through numerical simulation.