A Numerical Method for Solving Evolutionary Statistical Characteristics of Dynamic Responses of the Vehicle–Bridge Coupled System Based on the Recursion Principle
Publication: Journal of Engineering Mechanics
Volume 149, Issue 10
Abstract
The vehicle–bridge coupled (VBC) vibration problem under the excitation of road roughness is essentially a nonstationary random vibration problem. At present, the computational efficiency is still the key factor of restricting the application of the stochastic vibration theory in nonlinear dynamic systems. In this study, the covariance between the system excitation and response is used to recursively solve the variance of the system response, and an efficient numerical method of solving the evolutionary statistical moments of dynamic responses of the time-variant VBC system is proposed. The study shows that the results obtained by the recursion method are consistent with the explicit time-domain method, and are further verified by the Monte Carlo method. Furthermore, the method proposed is applied to study the impact factor spectrum of highway beam bridges. The deficiency of the existing impact factor spectrum formula is pointed out, and an effective method is put forward.
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Data Availability Statement
All data, models, and codes that support the findings of this study are available from the corresponding author and the first author upon reasonable request.
Acknowledgments
The authors acknowledge the support from China Scholarship Council (No. 201906715009), and the National Natural Science Fund of China (No. 52178450).
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 149 • Issue 10 • October 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Nov 27, 2022
Accepted: May 16, 2023
Published online: Aug 11, 2023
Published in print: Oct 1, 2023
Discussion open until: Jan 11, 2024
ASCE Technical Topics:
- Analysis (by type)
- Continuum mechanics
- Coupling
- Dynamic response
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Excitation (physics)
- Highway transportation
- Infrastructure
- Mathematics
- Methodology (by type)
- Motion (dynamics)
- Numerical analysis
- Numerical methods
- Solid mechanics
- Statistics
- Structural engineering
- Structural members
- Structural systems
- Transportation engineering
- Vehicles
- Vibration
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