PSI - Issue 81

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ScienceDirect

Procedia Structural Integrity 81 (2026) 417–421

VIII International Conference “In - service Damage of Materials: Diagnostics and Prediction“ (DMDP 2025) Estimation of eigenfrequencies of oscillations of a one-storey industrial building on the basis of numerical modelling

Mykhailo Hud *, Tetyana Pyndus, Vitaliy Senchyshyn Ternopil Ivan Puluj National Technical University, Ternopil, 46011, Ukraine

© 2026 The Authors. Copy from the contract: Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of DMDP 2025 organizers Keywords: natural frequencies; numerical modelling; single-storey building; truss; bracing; dynamic behaviour. 1. Introduction To enhance the accuracy of predicting structural stability and resilience under seismic loading, the adopted approach incorporates the estimation of natural frequencies and oscillation periods of the designed structure in accordance with the methodology proposed by Bardell et al. (1997). Their work offers a detailed framework for analyzing forced oscillations in circular cylindrical shells, with particular attention devoted to the occurrence of two internal resonances as well as the principal resonance. The methodological foundation relies on the method of multiple scales, through which a system of six modulation equations is derived to describe the nonlinear dynamic behavior of the shell. Furthermore, the study integrates a procedure for assessing the stability of standing waves, as outlined in the referenced methodology, together with a continuation algorithm applied to investigate the fixed points of the modulation equation system, following the approach developed by Avramov et al. (2007). These analytical tools collectively enable a more comprehensive examination of resonance phenomena and stability domains within nonlinear dynamic systems. Abstract This article presents the results of a numerical modal analysis carried out on the frame of a single-storey industrial building. The aim of еру ші study to assess how structural modifications influence the natural frequency spectrum and the behavior of vibration modes. Three finite element models were developed: a baseline scheme and two modified versions with changes introduced to the upper and lower sections of the truss. The baseline model included reinforced concrete columns (class C16/20) and steel trusses made from cold-formed welded profiles. In the second model, additional rod elements were added to the ridge zone, while the third incorporated cross-bracing in the lower chord to improve spatial stiffness. The baseline model showed the lowest frequency values, reflecting greater flexibility and sensitivity to dynamic effects. Adding upper elements gradually increased the frequencies without anomalies, whereas the cross-braced configuration produced the widest spectrum, indicating enhanced stiffness and better coordination of structural elements. The results confirm that the introduced modifications improve the dynamic behaviour of single-storey industrial buildings and enhance their resistance to seismic and wind loads.

* Corresponding author. Tel.: +380-98-061-97-16. E-mail address: mishagud77@gmail.com

2452-3216 © 2026 The Authors. Copy from the contract: Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of DMDP 2025 organizers 10.1016/j.prostr.2026.03.072