Cantilever Beam Finite Element Analysis MATLAB Example with Detailed Annotations - Semi-Original Work

In this example, we explore how to utilize MATLAB's finite element analysis tools to simulate the behavior of a cantilever beam. We present a semi-original computational example containing detailed annotations to enhance understanding of the methodology. While the core implementation was originally developed by senior researchers, we have incorporated additional technical explanations and implementation insights to create a more comprehensive resource. This article systematically covers the fundamental principles of finite element methods and the analytical procedures for cantilever beam simulation. Furthermore, we demonstrate how to implement these procedures in MATLAB with practical coding techniques, including explanations of key functions like mesh generation using pdeGeometry, boundary condition application through applyBoundaryCondition, and solution computation via solvepde. The implementation incorporates element stiffness matrix calculation using Gaussian quadrature and global matrix assembly algorithms. Through studying this material, you will gain practical skills in performing finite element analysis with MATLAB and develop deeper insights into cantilever beam mechanical behavior under various loading conditions.