First-passage time asymptotics over moving boundaries for random walk bridges

Sloothaak, Fiona; Wachtel, Vitali; Zwart, Bert

doi:10.1017/jpr.2018.39

Cited by 2 publications

(1 citation statement)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…e commonly used theoretical basis for the probabilistic dynamic analysis of bridges under vehicle load is the first-passage criterion [16,17]. e first-passage failure probability is usually estimated based on Rice's level-crossing principle [18]. However, applications of the first-passage theory are mostly concentrated in seismic engineering, while the application to traffic load analysis is relatively insufficient.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Reliability of Continuous Rigid-Frame Bridges under Stochastic Moving Vehicle Loads

Wang

Liu

et al. 2020

Shock and Vibration

View full text Add to dashboard Cite

The current volume of freight traffic has increased significantly during the past decades, impacted by the fast development of the national transportation market. As a result, the phenomena of truck overloading and traffic congestion emerge, which have resulted in numerous bridge collapse events or damage due to truck overloading. Thus, it is an urgent task to evaluate bridge safety under actual traffic loads. This study evaluated probabilistic dynamic load effects on rigid-frame bridges under highway traffic monitoring loads. The site-specific traffic monitoring data of a highway in China were utilized to establish stochastic traffic models. The dynamic effect was considered in a vehicle-bridge coupled vibration model, and the probability estimation was conducted based on the first-passage criterion of the girder deflection. The prototype bridge is a continuous rigid-frame bridge with a midspan length of 200 m and a pier height of 182 m. It is demonstrated that the dynamic traffic load effect follows Gaussian distribution, which can be treated as a stationary random process. The mean value and standard deviation of the deflections are 0.071 m and 0.088 m, respectively. The dynamic reliability index for the first passage of girder deflection is 6.45 for the current traffic condition. However, the reliability index decreases to 5.60 in the bridge lifetime, accounting for an average traffic volume growth ratio of 3.6%.

show abstract

Section: Introductionmentioning

confidence: 99%

Dynamic Reliability of Continuous Rigid-Frame Bridges under Stochastic Moving Vehicle Loads

Wang

Liu

et al. 2020

Shock and Vibration

View full text Add to dashboard Cite

show abstract

The Impact of a Network Split on Cascading Failure Processes

2019

Self Cite

View full text Add to dashboard Cite

Cascading failure models are typically used to capture the phenomenon where failures possibly trigger further failures in succession, causing knock-on effects. In many networks this ultimately leads to a disintegrated network where the failure propagation continues independently across the various components. In order to gain insight in the impact of network splitting on cascading failure processes, we extend a well-established cascading failure model for which the number of failures obeys a power-law distribution. We assume that a single line failure immediately splits the network in two components, and examine its effect on the power-law exponent. The results provide valuable qualitative insights that are crucial first steps towards understanding more complex network splitting scenarios.

show abstract

First-passage time asymptotics over moving boundaries for random walk bridges

Cited by 2 publications

References 20 publications

Dynamic Reliability of Continuous Rigid-Frame Bridges under Stochastic Moving Vehicle Loads

Dynamic Reliability of Continuous Rigid-Frame Bridges under Stochastic Moving Vehicle Loads

The Impact of a Network Split on Cascading Failure Processes

Contact Info

Product

Resources

About