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Numerical methods to predict vibration serviceability on high frequency stairs
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Authors
Advisor(s)
Abstract(s)
With the increasingly deepen knowledge on structural dynamic behaviour,
nowadays, monumental staircases and their steps are usually designed with high stiffness and
low mass, obtaining high fundamental frequencies, out of the interval of step frequencies
excitable by the human walking. However, neglecting the structure's mass can also result in
with high levels of impulsive responses. Furthermore, often the connection between the
staircase and its steps experience an almost null rotational stiffness, which can cause local
vibrations in steps, where the structural behaviour of two elements is nearly independent from
each other. In this scenario, steps will most likely exhibit undesirable vibrations. Hence,
intending to improve future designs, this paper compares different numerical methods that can
be used to predict human induced vibrations in this type of structures, applying them to a real
staircase with a high local liveness. The results showed that the footfall force time histories
method could realistically predict the vibrations for almost all tested step frequencies, while the
effective impulse could accurately estimate the vibrations for descents at different step
frequencies. The walking models defined by Fourier coefficients only generated close
vibrations for descents at 3.3 Hz.
Description
Keywords
Stairs Numerical methods Predict vibration . Faculdade de Ciências Exatas e da Engenharia
Citation
Andrade, P., Santos, J., & Escórcio, P. (2021, February). Numerical methods to predict vibration serviceability on high frequency stairs. In Journal of Physics: Conference Series (Vol. 1777, No. 1, p. 012061). IOP Publishing. doi:10.1088/1742-6596/1777/1/012061
Publisher
IOP Publishing