Application of the pseudo-excitation method to assessment of walking variability on footbridge vibration

Caprani, Colin C.

doi:10.1016/j.compstruc.2013.11.001

Cited by 41 publications

(20 citation statements)

References 30 publications

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“…More recently, the same team [30] proposed a frequency modulated pseudoequivalent deterministic excitation. This approach named PEDEM is derived from the pseudoexcitation method [31][32]. This latter involves a modal decomposition of the load matrix related 125 to the CSD function of the WPF and it converges to the exact response if all the eigensolutions are considered.…”

Section: Models) Discussion On Different Models Andmentioning

confidence: 99%

Simulation of the pressure field beneath a turbulent boundary layer using realizations of uncorrelated wall plane waves

Maxit

2016

The Journal of the Acoustical Society of America

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This paper investigates the modelling of a vibrating structure excited by a turbulent boundary 15 layer (TBL). Although the wall pressure field (WPF) of the TBL constitute a random excitation, the element-based methods generally used for describing complex mechanical structures consider deterministic loads. The response of the structure to a random excitation like TBL is generally deduced from calculations of numerous Frequency Response Functions. The result is that the process requires costly computational resources. To tackle this issue, an efficient 20 process is proposed for generating realizations of the WPF corresponding to the TBL. This process is based on a formulation of the problem in the wave-number space and the interpretation of the wall pressure field as uncorrelated wall plane waves. Once the WPF have been synthesized, the local vibroacoustic responses are calculated for the different realizations and averaged together in the last step. A numerical application of this process to a plate beneath 25 a TBL is used to verify its efficiency and ability to reproduce the partial space correlation of the excitation. Finally an application on a stiffened panel modelled with the finite element method is proposed to illustrate the interest of the proposed process.Running title: Numerical synthesis of random pressure field 30

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Section: Models) Discussion On Different Models Andmentioning

confidence: 99%

Simulation of the pressure field beneath a turbulent boundary layer using realizations of uncorrelated wall plane waves

Maxit

2016

The Journal of the Acoustical Society of America

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“…From equations (22) and (23), the dynamic system has two major variables of time and frequency during computation. e conventional scheme adopted by much more research is to conduct a complete time-history analysis under each one of discrete frequencies [24][25][26][27][28]. e total number of independent computations for this way in the dynamic system reaches N w × N t , where N w and N t are the numbers of discrete frequency and time, respectively.…”

Section: Proposed Scheme For the Pemmentioning

confidence: 99%

Random Vibration Analysis of Coupled Three‐Dimensional Maglev Vehicle‐Bridge System

Wei

Guo

2019

Advances in Civil Engineering

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is paper presents a framework for the linear random vibration analysis of the coupled three-dimensional (3D) maglev vehiclebridge system. Except for assembling the equation of motion of vehicle only via the principle of virtual work, the fully computerized approach is further expanded to assemble the governing equation of fluctuating current via the equilibrium relation. A state-space equation couples the equation of motion of the vehicle and the governing equation of fluctuating current. e equation of motion of a real three-span space continuous girder bridge is established by using finite element methods. A separated iteration method based on the precise integration method and the Newmark method is introduced to solve the state-space equation for the maglev vehicle and the equation of motion for the bridge. Moreover, a new scheme to application of the pseudoexcitation method (PEM) in random vibration analysis is proposed to maximize the computational efficiency of the random vibration analysis of the maglev vehicle-bridge system. Finally, the numerical simulation demonstrates that the proposed framework can efficiently obtain the mean value, root mean square (RMS), standard deviation (SD), and power spectral density (PSD) of dynamic response for the coupled 3D maglev vehicle-bridge system.

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“…For example, while peak force and contact ratio exhibit jump-by-jump variations, they are also correlated as shown in Figure 6. There is currently no simple guidance aimed at the structural engineers about incorporating this type of relationship in the probabilistic models; however there are a number of modelling proposals available in literature concerned with both walking [20,[24][25][26][27][28] and jumping/bobbing activities [29,30]. ( ) a Figure 5.…”

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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Application of the pseudo-excitation method to assessment of walking variability on footbridge vibration

Cited by 41 publications

References 30 publications

Simulation of the pressure field beneath a turbulent boundary layer using realizations of uncorrelated wall plane waves

Simulation of the pressure field beneath a turbulent boundary layer using realizations of uncorrelated wall plane waves

Random Vibration Analysis of Coupled Three‐Dimensional Maglev Vehicle‐Bridge System

Modelling human actions on lightweight structures: experimental and numerical developments

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