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Numerical methods to predict human induced vibrations on low frequency stairs. Part 1: literature review, modelling
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Authors
Advisor(s)
Abstract(s)
Recent trends towards slender construction with prominent and exigent architectural requirements often result in
low frequency staircases that are significantly flexible and susceptible to unacceptable vibrations, which may
promote safety concerns for their users. For structural engineers, however, there is still a lack of understanding,
available information and specific design guides for predicting the dynamic behaviour of staircases due to human
induced vibrations.
To address this problem, this work reviews and applies the main existing numerical methods for predicting
vibrations, to evaluate their precision and provide practical guidance when designing flexible staircases.
The work developed is presented in a two-part paper. In Part 1, the actual paper, several numerical methods
are introduced and a detailed description is given of how these can be employed in a design stage. The distinction
between low and high frequency staircases is explained, since it directly influences the structure’s behaviour and,
subsequently, the selected method. A description is given of how to simulate walking dynamic loads, which forms
the basis of all methods. The group effect is also discussed because it tends to considerably amplify the staircase
response. Finally, the different numerical procedures are applied to a practical case and compared.
It was observed that, although the four numerical methods were employed with the same staircase, their
results were different. The reasons for the higher results of Fourier series walking models are explained. In Part 2,
the follow-up paper, the numerical methods are employed on a real staircase, comparing the estimated and
experimental results.
Description
Keywords
Ground reaction forces Fourier series Steady-state analysis Simplified vibration evaluation Group effect Step frequency . Faculdade de Ciências Exatas e da Engenharia
Citation
Andrade, P., Santos, J., & Maia, L. (2021, December). Numerical methods to predict human induced vibrations on low frequency stairs. Part 1: Literature review, modelling. In Structures (Vol. 34, pp. 575-588). https://doi.org/10.1016/j.istruc.2021.08.017
Publisher
Elsevier