ASSUMPTIONS OF THE ENERGY BALANCE METHOD AND RELATED ERRORS IN DETERMINING THE DYNAMIC RESPONSES OF STRUCTURAL SYSTEMS
DOI:
https://doi.org/10.36773/1818-1112-2026-140-2-51-65Keywords:
energy balance method, reliability, modelling errorAbstract
Modeling the behavior of a structural system following the sudden removal of a column is typically recommended based on non-linear dynamics (NLD) approaches for a specific loading history. Alternatively, under this specific hazard scenario (column removal), a simplified method for analyzing the damaged structural system is available, defined as the energy balance method. In the general case, the energy balance method (EBM) involves a non-linear static analysis (NLS) with incremental step-by-step application of controlled displacement at the node of the removed element, along with a simplified procedure for determining the dynamic response of the system based on its energy balance; this is widely considered a compromise between accuracy and complexity. The energy balance method allows for obtaining the maximum dynamic displacement value of the control point within the structural system under consideration at a specified load level. This parameter is sufficient for assessing the robustness of the structural system, since the core concept is to prevent collapse and, consequently, to determine the maximum value of the allowable response. For a real structure with an infinite number of degrees of freedom, the simplified method yields an approximate result, which, however, adequately reflects the outcomes obtained via 'rigorous' methods of dynamic non-linear analysis considering the loading history. The implicit error contained in the results when applying the energy balance method arises primarily due to a number of simplifications and assumptions, which are examined in detail in this paper.
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