Probability-based prediction of multi-mode vibration response to walking excitation

Živanović, Stana; Pavić, Aleksandar; Reynolds, Paul

doi:10.1016/j.engstruct.2006.07.004

Cited by 176 publications

(124 citation statements)

References 5 publications

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“…In this study two models to simulate the pedestrian action are adopted. The first model (Model I) is proposed by Li [24] and it represents the human-induced force as a deterministic periodic force, while the second one (Model II), developed by Živanović [25], allows to take into account the inter-and intra-subject variability during walking.…”

Section: Pedestrian Dynamic Loadsmentioning

confidence: 99%

“…Besides the numerical dynamic analyses performed with the FE models, the dynamic behaviour of the footbridge under pedestrian loads is also investigated solving the differential equations of motion for the decoupled vibration modes. The modal force acting on each SDOF system is characterized through the pedestrian load model developed by [25].…”

Section: Pedestrian Dynamic Loadsmentioning

confidence: 99%

“…As such, the human-induced force is weighted by the mode shape  n in order to take into account that the force moves across the footbridge and it has a limited duration. The walking force F(t) is represented through the pedestrian load model proposed by [25] and based on the results obtained from [27]. By analyzing walking force time-histories measured on a treadmill, [27] found that human-induced walking force is not periodic, but rather it is a narrow band random process, meaning that there is a leaking of energy around the main harmonics in the force spectrum.…”

Section: Simulation Model IImentioning

confidence: 99%

“…By analyzing walking force time-histories measured on a treadmill, [27] found that human-induced walking force is not periodic, but rather it is a narrow band random process, meaning that there is a leaking of energy around the main harmonics in the force spectrum. Based on the results provided from Brownjohn [27], Živa-nović [25] developed a multi-harmonic force model for the calculation of the multi-mode structural response to a single person walking across a footbridge. The proposed model takes into account the inter-and intra-subject variability in the induced walking force.…”

Section: Simulation Model IImentioning

confidence: 99%

“…Starting from the frequency content of the walking force, a model representation of the spectrum amplitudes and phases was achieved and the multi-harmonic force model was formulated. For all details about the model see [25].…”

Section: Simulation Model IImentioning

confidence: 99%

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Dynamic Analyses of a Curved Cable-Stayed Footbridge Under Human Induced Vibrations: Numerical Models and Experimental Tests

Bassoli¹,

Gambarelli²,

Simonini³

et al. 2015

Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. Nowadays, pedestrian bridges are increasingly lively and slender structures due to the development of improved structural materials and aesthetic requirements. As a result of INTRODUCTIONOver the last decades, cable-stayed bridges and footbridges have reached great importance and popularity thanks to the ease of construction, the economical convenience and the reduction of the deck bending moments due to the benefit of cables. Nevertheless, footbridges are generally slender structures due to the structural solutions adopted even for aesthetic requirements and the using of deformable elements, and so they are increasingly sensitive to dynamic vibrations induced by pedestrian actions [1,2] that can compromise the comfort serviceability conditions. Hence, the full assessment of footbridge dynamic behaviour with reference to pedestrian dynamic amplifications is a topical issue in the vibration serviceability analyses [3][4][5].Accurate FE models are often needed to investigate the dynamic behaviour of these kinds of structures and to reproduce the pedestrian effects through dynamic analyses considering adequate human-induced load models. However, the complex shapes of these structures usually involve difficulties in accurate structural modelling and simulation. Therefore, model updating procedures are required to develop reliable models starting from the comparison between the structural dynamic behaviour investigated through dynamic tests and its numerical model response [6].This paper is a part of a research that aims to characterize the dynamic behaviour of a curved cable-stayed footbridge subjected to pedestrian loads starting from experimental tests and numerical dynamic analyses. The case study is the Pasternak footbridge that is about 270 meters long and 3 meters wide and it crosses an important freeway in Modena (Italy). It is composed of two steel towers 18 meters high that support the steel-concrete deck by means of 6 pairs of cables.First of all, the dynamic behaviour of the footbridge is investigated thanks to an experimental campaign performed by means of an advanced MEMS-based SHM system [7]. Through the dynamic tests the accelerations due to ambient vibrations (wind) are recorded and the modal parameters (frequencies, mode shapes and damping ratios) are identified [8].To study the dynamic behaviour of the footbridge subjected to pedestrian loads, several experimental tests were performed with different-sized groups crossing the footbridge running, free or synchronized walking with different pacing frequencies. To simulate dynamic loading conditions due to a single pedestrian or a crowd of people crossing the structure, two mathematical models are examined. In these models, vertical dynamic actions depend on the pacing frequency, the walking (or running) speed, the step length, the number of people involved and the synchronous action modelling. To apply the first approach, a finite element model is developed and calibrated so that the numerical dynamic predictions agree with the experimental ...

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Section: Pedestrian Dynamic Loadsmentioning

confidence: 99%

Section: Pedestrian Dynamic Loadsmentioning

confidence: 99%

Section: Simulation Model IImentioning

confidence: 99%

Section: Simulation Model IImentioning

confidence: 99%

Section: Simulation Model IImentioning

confidence: 99%

See 3 more Smart Citations

Dynamic Analyses of a Curved Cable-Stayed Footbridge Under Human Induced Vibrations: Numerical Models and Experimental Tests

Bassoli¹,

Gambarelli²,

Simonini³

et al. 2015

Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Personen‐Induzierte Schwingungen von Fußgängerbrücken

Butz¹,

Distl²

2008

Stahlbau Kalender 2008

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Design Response Spectra to Human Comfort Assessment of Pedestrian Footbriges

de Souza,

Oliveira,

Moreira

et al. 2024

ce papers

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This research work aims to contribute to structural designers based on the development of a probabilistic approach for evaluating the dynamic structural response of pedestrian footbridges, with regard to excessive vibrations that may cause human discomfort. Based on the use of probabilistic methods, it becomes possible to determine the probability of the structure's peak acceleration values exceeding or not the human comfort criteria. The results obtained in this investigation reveal that the values of maximum accelerations, calculated based on the deterministic methods may be overestimated in design situations.

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Probability-based prediction of multi-mode vibration response to walking excitation

Cited by 176 publications

References 5 publications

Dynamic Analyses of a Curved Cable-Stayed Footbridge Under Human Induced Vibrations: Numerical Models and Experimental Tests

Dynamic Analyses of a Curved Cable-Stayed Footbridge Under Human Induced Vibrations: Numerical Models and Experimental Tests

Personen‐Induzierte Schwingungen von Fußgängerbrücken

Design Response Spectra to Human Comfort Assessment of Pedestrian Footbriges

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