Study of the behavior of a mesh shell roof structure upon deactivation of individual elements
DOI:
https://doi.org/10.32347/2410-2547.2025.115.143-149Keywords:
progressive collapse, grid shell, finite element method, stress–strain stateAbstract
The stress–strain state of a dome-shaped grid shell roof model under the failure of individual elements has been investigated. A spatial model of the shell was created in the LIRA software package and loaded with a uniformly distributed load applied to the nodes. The model contains 37 nodes and 90 elements. The steel tubular bars were modeled using beam finite elements with a circular cross-section of 10 mm in diameter and a wall thickness of 1 mm. All shell nodes were assumed to be rigid by default, and the support nodes of the lower ring were fixed. A numerical approach in the static formulation was applied. The problem was solved in three stages. First, a finite element model of the intact shell was created and its stress–strain state was analyzed. Then, one element was removed, and its effect was simulated by applying to its end nodes forces equal in magnitude and opposite in direction to those obtained in the first stage. The system with the removed element was recalculated, and the behavior of the neighboring elements and the overall load-bearing capacity of the structure were analyzed. At the final stage, another element adjacent to the first was removed, taking into account the state of the structure after the failure of the first element. The stress–strain state of the shell was analyzed again. To determine the effect of excluding individual elements from the structure on the stress–strain state, the nodal displacements and forces in the elements located near the removed ones along the load-transfer path were examined. Significant changes in the stress–strain state of a large number of elements were detected. In some members, internal forces increased by 116% and 308%. Moreover, in certain elements the nature of the stress–strain state changed: before the removal, the bars were in compression, whereas after the removal they experienced tension. Such changes indicate the potential danger of progressive collapse.
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