Methodology for constructing a global stiffness matrix for solving stress-strain problems of structures using the finite element method


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Authors

  • A.E. Toilybaev ALT university named after M. Tynyshpayeva
  • S.R. Tursynbekova L. N. Gumilyov Eurasian National University
  • A.S. Aitkhozhina L. N. Gumilyov Eurasian National University
  • О. Abdrashev L. N. Gumilyov Eurasian National University
  • U. Usipbaev South Kazakhstan University named after M. Auezov
  • T. Mutash L. N. Gumilyov Eurasian National University https://orcid.org/0009-0007-4206-4108

DOI:

https://doi.org/10.32523/2616-7263-2024-149-4-269-281

Keywords:

finite element method, stiffness matrix, stress-strain state

Abstract

The article discusses methods for constructing a stiffness matrix of systems based on finite element stiffness matrices. One of the effective ways to regularly sample the calculated area is described, which allows you to more accurately take into account external loads, including gravity. Formulas are provided for calculating nodal loads and their relationships in the context of spatial modeling. The features of node numbering and addressing of global stiffness matrix elements are also discussed, which provides an adequate model for analyzing the stress-strain state of structures. Application of proposed method makes it possible to effectively determine reactions of road pavement structures to loads from vehicles.

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Published

2024-12-30

How to Cite

Toilybaev А., Tursynbekova С., Aitkhozhina А., Abdrashev Ө., Usipbaev У., & Mutash Т. (2024). Methodology for constructing a global stiffness matrix for solving stress-strain problems of structures using the finite element method. Bulletin of L.N. Gumilyov Eurasian National University Technical Science and Technology Series, 149(4), 269–281. https://doi.org/10.32523/2616-7263-2024-149-4-269-281

Issue

Vol. 149 No. 4 (2024)

Section

Article

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