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

2024

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DOI 10.32523/2616-7263-2024-149-4-269-281
Data confidence 70 medium
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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.