Experimental Research on 2 : 1 Parametric Vibration of Stay Cable Model under Support Excitation

Abstract

For 2 : 1 parametric vibration problem of stay cable under support excitation, a sliding support only in the vertical moving is designed to simulate the bridge stay cable’s vibration test model. Meanwhile, using numerical simulation of cable free vibration and dynamic characteristic test analysis, the experimental research under various conditions is implemented in the actual cable-stayed bridge as the research object, which is compared with the corresponding numerical simulation results. According to the analysis results, it shows that as the vibration test model has 2 : 1 parametric vibration under the support excitation the results of maximum cable displacement from experimental analysis and numerical simulation are basically consistent which revealed that the parametric vibration of stay cable exists and is easy to occur. Additionally, when the bridge bearing excitation frequency is similar to the 2 : 1 frequency ratio, small excitation can indeed lead to the sharp “beat” vibration of cable; therefore it is very necessary to limit the amplitude of support excitation to prevent the occurrence of a large main parametric resonance.

Numerical Stability of Hanging Cables’ Parametric Vibration during Fastening-Hanging Cantilever Construction Stage of Arch Bridge

“…Finite element method discretizes a cable into several small elements and splits a large calculating step into several substeps with short duration, and applies some explicit numerical integration algorithms, such as the Newmark-β method, Wilson-theta method, and Precise integration method, to solve the vibration response of cables (Gattulli et al 2004;Jalali and Rideout 2022;Karoumi 1999;Qing-Xiong et al 2013). As for experimental tests, Zhang (Zhang et al 2017;Zhang et al 2016), Sun (Sun et al 2018) conducted experiments on several resonance regions of cables. Their results indicated that small amplitude end excitation could excite cables' large amplitude vibration response.…”

Field Test and Numerical Analysis of In‐Service Railway Bridge

“…In recent decades, research on the dynamic interaction of vehicle-rail bridges has increased and primarily focuses on the following aspects: (1) e dynamic response of trains in dangerous areas, such as road bridge transitions, curved bridges, and culvert transition zones [12][13][14][15][16][17][18][19]. (2) e dynamic performance of a train that passes through a bridge under external adverse influences, such as earthquake, wind and bridge skewness, or noise of composite bridge results [20][21][22][23][24][25][26][27]. However, few studies have addressed the dynamic response of passenger and freight trains that pass through old concrete railway bridges.…”