A localized lagrange multipliers approach for the problem of vehicle-bridge-interaction

Zeng, Qing; Stoura, Charikleia D.; Dimitrakopoulos, Elias G.

doi:10.1016/j.engstruct.2018.04.040

Cited by 34 publications

(34 citation statements)

References 22 publications

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“…This study extends the previous work of the authors on the localized Lagrange multipliers approach [9] by accounting also for rolling contact between the rails and the wheels in the tangential direction [11] and by considering non-linear profiles for the rails and the wheels [12]. Following, it applies the proposed algorithm to a two-vehicle train crossing a HSR bridge consisting of three continuous bridges [13].…”

Section: Introductionmentioning

confidence: 63%

“…This study extends the original scheme of [9], and additionally accounts for rolling contact between the rails and the wheels in the tangential direction (Figure 4(a)), while also considering non-linear wheel-rail profiles (Figure 4(b)). As a result, creep forces and moments arise, which are treated with the Kalker's linear creep theory [14] and the Shen-Hedrick-Euristic modification in case of high creepage [15].…”

Section: Tangential Directionmentioning

confidence: 97%

“…The study assumes continuous contact between the two subsystems in the normal direction at all times, and more specifically rigid contact between the vehicle wheels and the bridge elements in contact. The kinematic constraints on the acceleration level, considering u g N as the global boundary acceleration [9], are:…”

Section: Normal Directionmentioning

confidence: 99%

“…(14) represent the EOMs of the vehicle and the bridge (Eqs. (1) and (3)) [9]. The third and the fourth row are the kinematic constraints in the normal direction (Eq.…”

Section: Solutions Of the Eomsmentioning

confidence: 99%

“…An alternative approach constitutes the localized Lagrange multipliers approach, originally proposed by Zeng et al [9]. This method enables the partition of the coupled system into two separate subsystems, similarly to the iterative algorithms, but also reserves the compatibility between the two subsystems at each time step, similarly to the coupled algorithms.…”

Section: Introductionmentioning

confidence: 99%

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Vehicle-Bridge Interaction Analysis Using the Localized Lagrange Multipliers Approach

Stoura¹,

Zeng²,

Dimitrakopoulos³

2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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This paper presents a localized Lagrange multipliers approach to numerically solve the vehicle-bridge interaction problem. The distinct characteristic of the present time-integration algorithm is the introduction of additional auxiliary contact points between the vehicle wheels and the bridge elements in contact, which enable the partitioned analysis of the vehicle and the bridge subsystems. The interaction scheme accounts for rigid contact in the normal direction and rolling contact in the tangential direction. The paper applies the partitioned algorithm to a realistic scenario of a two-vehicle train crossing an existing HSR bridge. The results indicate that the proposed algorithm gives accurate results and at the same time can decrease the computational cost of the analysis, compared to existing algorithms.

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Section: Introductionmentioning

confidence: 63%

Section: Tangential Directionmentioning

confidence: 97%

Section: Normal Directionmentioning

confidence: 99%

“…(14) represent the EOMs of the vehicle and the bridge (Eqs. (1) and (3)) [9]. The third and the fourth row are the kinematic constraints in the normal direction (Eq.…”

Section: Solutions Of the Eomsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Vehicle-Bridge Interaction Analysis Using the Localized Lagrange Multipliers Approach

Stoura¹,

Zeng²,

Dimitrakopoulos³

2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

Self Cite

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Seismic fragility analysis of railway reinforced concrete bridges considering real‐time vehicle‐bridge interaction with the aid of co‐simulation techniques

Paraskevopoulos

2022

Earthq Engng Struct Dyn

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Based on past earthquake events, bridges are the most critical and most vulnerable component of road and rail transport systems, while bridge damage is related to substantial direct and indirect losses. For the case of railway bridges, the estimation of seismic fragility is a rather complex and computationally demanding procedure given the real-time interaction of the train movement and the bridge and the different failure modes of subsystems. Considering vehicle-bridge interaction (VBI) in the frame of railway bridge fragility analysis is rather challenging, requiring analysis of the bridge and the vehicle at every time step. Partitioning of the coupled VBI problem proposing a weak formulation scheme and a set of second-order ordinary differential equations (ODEs) is performed in a way that allows for independent subsystem (vehicle and bridge) analysis. Several methodologies are available in the literature to estimate the seismic fragility of train-bridge systems that ignore the nonlinear behavior of the bridge during earthquake loading, the step-by-step VBI, and the different failure modes of critical components. The scope of this research paper is to propose a real-time component-based methodology for estimating bridge fragility curves, considering all critical components and failure modes of subsystems. The two subsystems are incorporated in a uniform software platform using the co-simulation approach and a Gauss-Seidel communication pattern. The vehicle-rail system is solved using a C++ tailor-made code, including a mathematical formulation that is based on the description of the constrained problem with a set of pure ODEs, avoiding issues related to differential-algebraic equations, constraint violation, drifts, energy loss, stability, and convergence. The vehicle subsystem is solved using multibody dynamics (MBD), while the bridge subsystem is modeled and solved using OpenSees.py. An ad-hoc software for the implementation of the probabilistic framework and the derivation of fragility curves is developed in Python. A novel methodological procedure is proposed, dully tailored to the demanding estimation of fragility curves of the coupled vehicle-bridge problem.The step-by-step solution of subsystems is performed using the co-simulation technique. Real-time interaction is allowed, considering a rational transfer of

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Rail Roughness Profile Identification from Vibration Data via Mixing of Reduced-Order Train Models and Bayesian Filtering

Stoura,

Tatsis,

Chatzi

2023

Conference Proceedings of the Society for Experimental Mechanics Series

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A localized lagrange multipliers approach for the problem of vehicle-bridge-interaction

Cited by 34 publications

References 22 publications

Vehicle-Bridge Interaction Analysis Using the Localized Lagrange Multipliers Approach

Vehicle-Bridge Interaction Analysis Using the Localized Lagrange Multipliers Approach

Seismic fragility analysis of railway reinforced concrete bridges considering real‐time vehicle‐bridge interaction with the aid of co‐simulation techniques

Rail Roughness Profile Identification from Vibration Data via Mixing of Reduced-Order Train Models and Bayesian Filtering

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