Calculus of Long Rectangular Plates Embedded in Long Borders with Uniform Vertical Load on a Line Parallel to the Long Borders

• DOI: 10.3390/math13060993
• Publication Date: 2025-03-18T14:43:51Z
• Authors: Daniel Opruţa; Mihai-Sorin Tripa; Luminiţa Codrea; Cristian Boldor; Dan Dumea; Robert Gyorbiro; Cosmin Brisc; Iulia Bărăian; Petre Opriţoiu; Aurel Chereches; Mihaela Suciu
• Keywords: Line (geometry)

This article presents the Transfer Matrix Method as a mathematical approach for calculus of different structures that can be discretized into elements using an iterative future applications in vehicle industry. Plate is important construction, medicine, orthodontics, and many other fields. work original due to apparatus used long rectangular plates embedded both borders required by uniformly distributed force on line parallel borders. The plate along its length unitary beams, which have width plate. beam also parts. As applications, two charged with vertical uniform load acts are studied. A state vector associated each side. For four cases studied, matrix relationship was written side, based transfer matrix, corresponding origin action external forces acting considered After, it possible calculate all vectors sides unity beam. Now, efforts, deformations, stress calculated any section beam, respectively, will serve resistance pieces components vehicles.