Similar Model for Accurate Structural Vibration Analysis of Elevated Track-Box Girder Coupling System

• Published in: KSCE journal of civil engineering Vol. 27; no. 10; pp. 4427 - 4436
• Main Authors: Luo, Kun, Wang, Pengsheng, Lei, Xiaoyan, Zhao, Yan
• Format: Journal Article
• Language: English
• Published: Seoul Korean Society of Civil Engineers 01.10.2023; Springer Nature B.V; 대한토목학회
• Subjects: Box girders; Bridges; Civil Engineering; Coupling; Design; Elasticity; Engineering; Finite element method; Geotechnical Engineering & Applied Earth Sciences; Industrial Pollution Prevention; Material properties; Mechanical properties; Model testing; Modulus of elasticity; Multilayers; Prototypes; Scale models; Similarity; Structural Engineering; Structural vibration; Vibration; Vibration analysis; Vibration response; Vibrations; Working conditions; 토목공학; π theorem; Similar model; Scale model design; Elastic force similarity law; Track-box girder coupled vibration
• ISSN: 1226-7988; 1976-3808
• DOI: 10.1007/s12205-023-2483-9

Model similarity experiment is an effective method to predict the vibration response of track-box girder structure under complex working conditions. In this paper, the coupling similarity relationship between the layers of the multilayer structure is deduced theoretically. In addition, according to the elasticity similarity law and the π theorem, a track-box girder coupling vibration model with a 10:1 geometric similarity ratio was designed. The influence of parameters on the system similarity was further discussed, including the density and elastic modulus of track plate, the stiffness of fastener and CA mortar layer. Finally, a scale track-box girder model was built. Based on the modal test and finite element method, the model design and the similarity relation between prototype and model were verified. The results show that the scale model can be employed to forecast vibrations for an elevated track bridge, and the vibration level under different working conditions can be inverted from the model test results in model design. When the geometry size of a certain structural layer in the direction of load is much larger than that of the other structural layers, the similarity relation derived from the material properties of the structural layer is approximately equal to the similarity of the system between the prototype and the scale model.