软土地铁盾构隧道垂向随机振动分析模型

VERTICAL RANDOM VIBRATION MODEL FOR SUBWAY SHIELD TUNNEL IN SOFT SOIL

  • 摘要: 针对我国地铁盾构隧道与长枕埋入式整体道床的常用形式, 基于车辆-轨道耦合动力学理论, 并通过引入软土动刚度与应变的非线性关系表达式, 建立了软土地铁盾构隧道垂向随机振动分析模型, 用以研究非线性变化的软土动刚度对地铁盾构隧道随机振动的影响规律. 研究结果表明:当软土动刚度随应变频响非线性变化时, 盾构隧道随机振动在10Hz以上的中高频段呈下降趋势, 与此同时10Hz以下隧道低频振动不降反升, 其上升幅度明显高于隧道中高频振动的下降幅度;此外, 从地基反力幅频曲线的变化来看, 非线性变化的软土动刚度既影响地基反力频域幅值大小, 还会导致反力幅值在频域内的重分布, 特别是10Hz以下的低频段.

     

    Abstract: In the allusion to the Chinese common types of a subway shield tunnel and a bolster-embedded monolithic-track bed, a vertical random vibration model for a subway shield tunnel in soft soil is established on the basis of vehicle/track coupling dynamics and the nonlinear expression between dynamic stiffness and dynamic strain of soft soil. The model can be used to research the influence of the nonlinear dynamic stiffness of soft soil on the random vibration of a shield tunnel. The results show that when the dynamic stiffness of soft soil nonlinearly varies with its dynamic strain, the random vibration of a shield tunnel would has a descending trend in the frequency band higher than 10Hz, whereas it would not descend but rise below 10Hz. And the declining extent of the random vibration of a shield tunnel above 10Hz is obviously less than its rising extent for 10Hz below. In addition, from the view of the amplitude-frequency characteristics of foundation reactions under a shield tunnel, the nonlinear variation of the dynamic stiffness of soft soil not only affects the frequency-domain amplitudes of foundation reactions, but also gives rise to the redistribution of their amplitudes in a frequency domain, especially below 10Hz.

     

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