RESEARCH ON THE APPLICATION OF THE MATRIX METHOD  TO SOLVE STATIC EQUILIBRIUM PROBLEMS

Nguyễn Trọng Kiên; Phan Văn Đức; Hồ Văn Phúc; Hồ Văn Hùng; Trương Quốc Định

doi:10.34238/tnu-jst.9107

RESEARCH ON THE APPLICATION OF THE MATRIX METHOD TO SOLVE STATIC EQUILIBRIUM PROBLEMS

About this article

Received: 01/11/23 Revised: 29/01/24 Published: 30/01/24

Authors

1. Nguyen Trong Kien , Vinh University
2. Phan Van Duc, Vinh University
3. Ho Van Phuc, Vinh University
4. Ho Van Hung, Vinh University
5. Truong Quoc Dinh, Vinh University

Abstract

Matrices are an important part of mathematics. Matrix theories have been used to solve many technical problems in different fields such as in physics, matrices have applications in electronics, mechanics, and optics. In the field of computer engineering, it is used for image processing, etc. In this article, we mainly focus on matrix operations and their application in solving static equilibrium problems that were previously mainly solved analytically by converting the equilibrium equations in analytical form to matrix form. The purpose is to provide a new application that allows the convenient use of specialized software such as Maple, Matlab,... to help solve static equilibrium problems faster. The motivation for using the matrix method is the desire to help engineering students approach the achievements of information technology, arousing interest in learning. The effectiveness of the matrix method when combined with Matlab software has been demonstrated in four specific examples. Hopefully, this will be an effective improvement method for engineering mechanics.

Keywords

Matrix; Equation; Balance; Statics; Analytics

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DOI: https://doi.org/10.34238/tnu-jst.9107

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