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为探讨斜拉桥拉索发生大幅参数振动的条件,以及在振动过程中拉索的振幅和张力波动的特点,本文利用作者建立的几何非线性结构非一致激励响应分析方法,进行了斜拉索的参数振动有限元分析。分析表明:桥面的面内激励易使斜拉索的振动包含面外对称振型,从而出现组合振动现象;而桥面的面外激励只激起面外对称振动,不易引起斜拉索的面内振动;增加斜拉索的阻尼可抑制其振幅,缩小其发生大幅振动的频率范围,但其张力波幅却相应增加。所得结果与以往研究者的解析结果及实验观测现象相一致。
In order to investigate the condition of large parameter vibration of cables in cable-stayed bridge and the characteristics of the amplitude and tension fluctuation of cable in vibration process, this paper uses the non-uniform excitation response analysis method of geometric nonlinear structure established by the author, Parametric Vibration Finite Element Analysis. The analysis shows that the in-plane excitation of the bridge deck tends to make the vibration of the stay cable include the out-of-plane symmetric vibration mode, and thus the combined vibration phenomenon appears; while the out-of-plane excitation of the bridge deck excites symmetrical vibration outside the plane, In-plane vibration; Increasing the damping of the stay cable can suppress its amplitude and reduce the frequency range of its occurrence of substantial vibration, but its tension amplitude increases accordingly. The results obtained are consistent with the previous researchers’ analytical results and experimental observations.