Linear time-varying system; Multi-modal buffeting; Non-synoptic wind; State augmentation method; Stochastic differential equation; Augmentation methods; Linear time-varying systems; Multi-modal; Nonstationary; State augmentation; Stochastic differential equations; Synoptic winds; Civil and Structural Engineering; Renewable Energy, Sustainability and the Environment; Mechanical Engineering
Abstract :
[en] The basic assumptions of stationary/Gaussian excitations and temporal independence in linear systems are commonly employed in stochastic dynamic analyses, facilitating various engineering investigations. However, in certain scenarios such as wind-induced vibrations under non-synoptic extreme wind, these assumptions may lead to unreliable predictions. The excitations exhibit significant non-stationary/non-Gaussian features due to the inherent non-synopticity of the flow. Moreover, when accounting for motion-induced forces, the coupled aerodynamic-mechanical system is modeled as a linear time-varying system marked by time-dependent aerodynamic damping and stiffness. This study aims to introduce a state augmentation method for examining the multi-modal vibrations of a long-span bridge excited by non-synoptic winds. Both unsteady motion-induced forces and non-stationary/non-Gaussian turbulence-induced forces are considered to predict the buffeting response. Based on stochastic calculus theory and the stars and bars method, we derive equations governing the statistical moments of all orders for the response of a dynamic system with multiple degrees of freedom. A comprehensive buffeting analysis of the model bridge to all wind segments of Typhoon Hagupit is conducted by using the proposed method, showing potentially greater responses when considering the non-synoptic features of the wind.
Disciplines :
Civil engineering
Author, co-author :
Lei, Simian ; Université de Liège - ULiège > Urban and Environmental Engineering ; State Key Lab of Disaster Reduction in Civil Engineering, Tongji University, Shanghai, China ; Department of Bridge Engineering, College of Civil Engineering, Tongji University, Shanghai, China ; Key Laboratory of Transport Industry of Bridge Wind Resistance Technologies, Tongji University, Shanghai, China ; University of Bologna, Bologna, Italy
Cui, Wei ; State Key Lab of Disaster Reduction in Civil Engineering, Tongji University, Shanghai, China ; Department of Bridge Engineering, College of Civil Engineering, Tongji University, Shanghai, China ; Key Laboratory of Transport Industry of Bridge Wind Resistance Technologies, Tongji University, Shanghai, China
Zhang, Liutian ; State Key Lab of Disaster Reduction in Civil Engineering, Tongji University, Shanghai, China ; Department of Bridge Engineering, College of Civil Engineering, Tongji University, Shanghai, China ; Key Laboratory of Transport Industry of Bridge Wind Resistance Technologies, Tongji University, Shanghai, China
Patruno, Luca ; University of Bologna, Bologna, Italy
de Miranda, Stefano; University of Bologna, Bologna, Italy
Zhao, Lin; State Key Lab of Disaster Reduction in Civil Engineering, Tongji University, Shanghai, China ; Department of Bridge Engineering, College of Civil Engineering, Tongji University, Shanghai, China ; Key Laboratory of Transport Industry of Bridge Wind Resistance Technologies, Tongji University, Shanghai, China
Ge, Yaojun; State Key Lab of Disaster Reduction in Civil Engineering, Tongji University, Shanghai, China ; Department of Bridge Engineering, College of Civil Engineering, Tongji University, Shanghai, China ; Key Laboratory of Transport Industry of Bridge Wind Resistance Technologies, Tongji University, Shanghai, China
Language :
English
Title :
State augmentation method for non-stationary/non-Gaussian vibrations of multi degree-of-freedom linear systems
Publication date :
June 2024
Journal title :
Journal of Wind Engineering and Industrial Aerodynamics
CSC - China Scholarship Council NSCF - National Natural Science Foundation of China
Funding text :
The study was supported by the National Natural Science Foundation of China (grant No. 51978527, 52008314 and 52278520) and the China Scholarship Council (No. 202106260170).
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