Developing an interactive software for the learning of finite element procedures.

摘要

The goal is to write a software that uses the Finite Element Procedure to solve standard problems of the Static- and Deformable Bodies classes (Mechanical Engineering). It should show every necessary step and show all intermediate- and end-results with a high accuracy. The completed program, called FeBeam, is limited to a frame of 5 nodes and 4 elements in 2D. It is user-friendly and self-explanatory; it detects all possible input-errors. FeBeam uses the 8 fundamental steps, starting with the generation of the Element Stiffness Matrices, and ending with the backsubstitution of the known displacements in local element-coordinates to compute the unknown element-forces. The user can go back and forth between the steps. The results are shown with an accuracy of 8 decimals. A multi-color graphical output lets the user visualize the final results.