Evaluating the vertical vibration response of footbridges using a response spectrum approach

Mashaly, E. A.; Ebrahim, Tarek M.; Abou-Elfath, Hamdy; Ebrahim, Omar A.

doi:10.1016/j.aej.2013.06.003

Cited by 14 publications

(6 citation statements)

References 4 publications

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“…Similar to other dynamic forces, such as seismic and wind, a number of researchers have been inspired by the response spectrum method, which is widely used in earthquake design. Despite the inherent simplifications in response spectra as it is only applicable to single degree of freedom (SDOF) structures [89], the intent is to produce a unified load model for excitation and hence, response estimation [79].…”

Section: Response Spectrum In Walking Modelsmentioning

confidence: 99%

“…Georgakis and Ingolfsson [90] proposed a response spectrum approach based on the probability of occurrence of an event of response using numerical simulations. Mashaly et al [89] proposed a response spectrum approach via a deterministic walking model on a footbridge to find vertical acceleration response. However, the forcing function was assumed to be stationary at the midspan.…”

Section: Response Spectrum In Walking Modelsmentioning

confidence: 99%

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Review of Pedestrian Load Models for Vibration Serviceability Assessment of Floor Structures

et al. 2018

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Innovative design and technological advancements in the construction industry have resulted in an increased use of large, slender and lightweight floors in contemporary office buildings. Compounded by an ever-increasing use of open-plan layouts with few internal partitions and thus lower damping, floor vibration is becoming a governing limit state in the modern structural design originating from dynamic footfall excitations. This could cause annoyance and discomfort to building occupants as well as knock-on management and financial consequences for facility owners. This article presents a comprehensive review pertinent to walking-induced dynamic loading of low-frequency floor structures. It is intended to introduce and explain key walking parameters in the field as well as summarise the development of previous walking models and methods for vibration serviceability assessment. Although a number of walking models and design procedures have been proposed, the literature survey highlights that further work is required in the following areas; (1) the development of a probabilistic multi-person loading model which accounts for inter- and intra-subject variabilities, (2) the identification of walking paths (routes accounting for the effect of occupancy patterns on office floors) coupled with spatial distribution of pedestrians and (3) the production of a statistical spatial response approach for vibration serviceability assessment. A stochastic approach, capable of taking into account uncertainties in loading model and vibration responses, appears to be a more reliable way forward compared to the deterministic approaches of the past and there is a clear need for further research in this area.

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Section: Response Spectrum In Walking Modelsmentioning

confidence: 99%

Section: Response Spectrum In Walking Modelsmentioning

confidence: 99%

Review of Pedestrian Load Models for Vibration Serviceability Assessment of Floor Structures

et al. 2018

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“…[𝐆 −1 (𝜔) + 𝜔 2 𝑚 𝑓𝑟 * (𝜔)𝐖 𝐧 ]𝐱(𝜔) = 𝐆 H −1 (𝜔)𝐱(𝜔) = −𝐟 ACTIVE (𝜔) [10] where 𝐆 𝐇 (𝜔) is the 𝑛 𝑑 x 𝑛 𝑑 matrix representing the equivalent set of FRFs describing the dynamic behaviour of the joint system composed by the structure and the people. Clearly, the behaviour of this coupled system is an average behaviour because 𝑚 𝑓𝑟 * is employed.…”

Section: The Modelmentioning

confidence: 99%

The Prediction of Vibrations for Light Structures in Presence of Moving People

Berardengo

Drago

Manzoni

et al. 2018

Conference Proceedings of the Society for Experimental Mechanics Series

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Recently, a model to describe the vibration of light structures (e.g. footbridges, staircases) was proposed by the authors of this paper. Such a model was developed with the aim of being accurate with a high number of people occupying the structure for long times. The present paper analyses the behaviour of the same model in the case of transient excitation of the structure. This allows to assess the accuracy of the model also in this further situation.

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“…As for the AGRF, its implementation in the HSI models is well established. It is usually approximated by the first harmonics of its Fourier series, both in the literature [1,8,39] and by regulations [17,18,20,22]; alternatively, its force time history, acquired through a force platform [11], is directly applied in the HSI model. Sometimes, a statistical approach is adopted for the selection of the Fourier series parameters [28,32,33], or the acquired force time histories are further elaborated to develop statistical generators of vertical active forces [34,40].…”

Section: Introductionmentioning

confidence: 99%

Experimental Evaluation of the Driving Parameters in Human–Structure Interaction

et al. 2022

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Many studies in the literature have already evidenced that pedestrians are able to change the dynamic properties of slender structures (e.g., footbridges and staircases). The aim of this paper is to analyse which pedestrians’ features mostly affect the structure behaviour, in order to properly account for them in a human–structure interaction problem, while disregarding the less relevant ones. This is accomplished by measuring the apparent mass (i.e., the frequency response function between the vibration of the structure at the contact point and the consequent force exerted by the pedestrian to the structure itself) curves of human bodies and coupling them to the dynamics of a slender structure. In more detail, this paper aims at analysing which factors must be accounted for among intra-subject variability (i.e., the dynamic behaviour of the same subject can change because it is characterised by a natural dispersion), inter-subject variability (i.e., different subjects have different dynamic behaviours) and the posture (i.e., the same subject changes posture during motion and this causes a change of his/her dynamic features). The influence of the apparent mass properties on the modal parameters of the hosting structure is addressed by means of a modal approach.

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Evaluating the vertical vibration response of footbridges using a response spectrum approach

Cited by 14 publications

References 4 publications

Review of Pedestrian Load Models for Vibration Serviceability Assessment of Floor Structures

Review of Pedestrian Load Models for Vibration Serviceability Assessment of Floor Structures

The Prediction of Vibrations for Light Structures in Presence of Moving People

Experimental Evaluation of the Driving Parameters in Human–Structure Interaction

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