Sensitivity of footbridge vibrations to stochastic walking parameters

Pedersen, Lars Haastrup; Frier, Christian

doi:10.1016/j.jsv.2009.12.022

Cited by 57 publications

(32 citation statements)

References 9 publications

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“…The interested reader is referred to [5,6,8,9]. Design guidelines outline procedures for vibration serviceability checks, but it is noticeable that most of these assume that the action is deterministic [10], yet this is stochastic, and it would be reasonable to incorporate its variability in the loading models. However, it should be mentioned that other loads on bridges should be considered in the design procedures such as seismic, wind, and impact loads (e.g., [11][12][13][14][15][16]).…”

Section: Shock and Vibrationmentioning

confidence: 99%

“…Pedersen and Frier [10] evaluated the effect of the probabilistic modeling of the parameters describing walking loads: step frequency, stride length, Dynamic Load Factor (DLF), and walker weight. A literature review revealed a variety of probability distributions through which the walking parameters can be modeled, and these were used for exploring the sensitivity of the 95th fractile of midspan acceleration.…”

Section: Shock and Vibrationmentioning

confidence: 99%

“…This is not trivial due to the large scatter of the data available in the literature, and one must be aware of the fact that changing the population will lead to a different vibration response [10].…”

Section: Standard Population Of Walkersmentioning

confidence: 99%

“…In particular, the mode shapes vary the modal masses, or , and the modal loads (see (2)). Mode shapes (see (10)), in turn, depend on the rotational stiffness of the supports, ,1, and ,2, . In this study, only symmetric support conditions have been considered, that is,…”

Section: Footbridge Characteristics and Mechanical Modelmentioning

confidence: 99%

See 3 more Smart Citations

Deterministic and Probabilistic Serviceability Assessment of Footbridge Vibrations due to a Single Walker Crossing

Demartino

Avossa

Ricciardelli

2018

Shock and Vibration

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This paper presents a numerical study on the deterministic and probabilistic serviceability assessment of footbridge vibrations due to a single walker crossing. The dynamic response of the footbridge is analyzed by means of modal analysis, considering only the first lateral and vertical modes. Single span footbridges with uniform mass distribution are considered, with different values of the span length, natural frequencies, mass, and structural damping and with different support conditions. The load induced by a single walker crossing the footbridge is modeled as a moving sinusoidal force either in the lateral or in the vertical direction. The variability of the characteristics of the load induced by walkers is modeled using probability distributions taken from the literature defining a Standard Population of walkers. Deterministic and probabilistic approaches were adopted to assess the peak response. Based on the results of the simulations, deterministic and probabilistic vibration serviceability assessment methods are proposed, not requiring numerical analyses. Finally, an example of the application of the proposed method to a truss steel footbridge is presented. The results highlight the advantages of the probabilistic procedure in terms of reliability quantification.

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Section: Shock and Vibrationmentioning

confidence: 99%

Section: Shock and Vibrationmentioning

confidence: 99%

Section: Standard Population Of Walkersmentioning

confidence: 99%

Section: Footbridge Characteristics and Mechanical Modelmentioning

confidence: 99%

See 2 more Smart Citations

Deterministic and Probabilistic Serviceability Assessment of Footbridge Vibrations due to a Single Walker Crossing

Demartino

Avossa

Ricciardelli

2018

Shock and Vibration

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“…Furthermore, for walking action, the force is travelling across a structure during limited period of time, and the speed of travel, as well as arrival times (Poisson distribution) are additional parameters to consider. Pedersen and Frier [16] showed that, among four parameters they studied in relation to the walking activity (pacing frequency, speed of travel, DLF and body weight), probabilistic modelling is crucial for pacing frequency only. Inclusions of probability distributions for other parameters are not necessary as long as the population using the structure is described using representative mean values.…”

Section: Challenge 1: Randomnessmentioning

confidence: 99%

Modelling human actions on lightweight structures: experimental and numerical developments

Živanović

2015

MATEC Web of Conferences

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Abstract. This paper presents recent, numerical and experimental, developments in modelling dynamic loading generated by humans. As modern structures with exposure to human-induced loading, such as footbridges, building floors and grandstands, are becoming ever lighter and more slender, they are increasingly susceptible to vibration under human-induced dynamic excitation, such as walking, jumping, running and bobbing, and their vibration serviceability assessment is often a deciding factor in the design process. While simplified modelling of the human using a harmonic force was sufficient for assessment of vibration performance of more robust structures a few decades ago, the higher fidelity models are required in the contemporary design. These models are expected not only to describe both temporal and spectral features of the force signal more accurately, but also to capture the influence, psychological and physiological, of human-structure and human-human interaction mechanisms on the human kinematics, and consequently on the force generated and the resulting vibration response. Significant advances have been made in both the research studies and design guidance. This paper reports the key developments and identifies the scope for further research.

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Footbridge Response Predictions and Their Sensitivity to Stochastic Load Assumptions

Pedersen

Frier

2011

Civil Engineering Topics, Volume 4

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Sensitivity of footbridge vibrations to stochastic walking parameters

Cited by 57 publications

References 9 publications

Deterministic and Probabilistic Serviceability Assessment of Footbridge Vibrations due to a Single Walker Crossing

Deterministic and Probabilistic Serviceability Assessment of Footbridge Vibrations due to a Single Walker Crossing

Modelling human actions on lightweight structures: experimental and numerical developments

Footbridge Response Predictions and Their Sensitivity to Stochastic Load Assumptions

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