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该文基于一种用于涡振模拟的两自由度经验模型(尾流振子模型)推导了桥梁节段至实桥涡振振幅转换关系。首先介绍了尾流振子模型的形式及其特点,其次从展向全相关及展向不完全相关两方面推导了节段至实桥涡振振幅转换关系,最后结合实际桥梁对上述过程进行了算例验证,并与现场实测结果进行了比较。研究表明:当不考虑涡激力展向相关性影响时,节段至实桥涡振振幅只与结构振型函数有关,尾流振子模型得到的转换关系与传统经验非线性模型得到的转换关系相同;当考虑涡激力展向相关性时,计算得到的实桥涡振振幅可能小于节段模型结果,涡激力展向全相关条件下得到的计算结果与现场实测结果更接近。因此,当缺少精确的涡激力展向相干函数时,假定涡激力展向全相关计算得到的实桥涡振振幅可能更为可靠。
Based on a two-degree-of-freedom empirical model (wake oscillator model) used in vortex modeling, this paper derives the relationship between the vortex amplitude of the bridge segment and the real bridge. Firstly, the form and characteristics of the wake oscillator model are introduced. Secondly, the relationship between the amplitude of the vortex and the real bridge is deduced from two aspects, namely, full correlation and incomplete correlation. Finally, the actual bridge is used to calculate the above process Example verification, and compared with the field measured results. The results show that the amplitude of the vortex from segment to the real bridge is only related to the mode shape function of the structure when the influence of the vortex-induced force-spreading direction is not considered. The conversion relation obtained by the wake oscillator model and that obtained by the traditional empirical nonlinear model The calculated amplitude of real vortices may be smaller than that of the segment model when considering the correlation of vortex force and the calculated results obtained under all relevant conditions of vortex-induced force are closer to the field measurements. Therefore, in the absence of accurate vortex-induced spread to the coherence function, it may be more reliable to assume that the amplitude of the real-bridge vorticity obtained by the vorticity-spans of the full correlation calculations is more reliable.