Methodology for constructing a global stiffness matrix for solving stress-strain problems of structures using the finite element method
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DOI:
https://doi.org/10.32523/2616-7263-2024-149-4-269-281Keywords:
метод конечных элементов, матрица жесткости, напряженно-деформированное состояние, транспортные нагрузки, регулярная дискретизация, узловые нагрузки, глобальная матрица жесткости, конструкция дорожных одежд.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
