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运营地铁周边地层加固区的动力扩散传递特性
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Dynamic Diffusion Transmission Characteristics of Stratum Reinforcement Area around Operating Subway
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    摘要:

    为保证软土地层中地铁线路建造及运营的稳定性,可通过注浆加固提高结构周边土体强度,而根据加固程度不同,土体介质的非连续性将逐渐转变,对应动力传递特性随之变化,因此行车状态下加固区及周边地层的动力响应分布模式有待进一步探索. 基于解析理论建立含加固区的地铁线路-地层动力耦合模型,将加固土及天然土考虑为具有不同物理力学属性的饱和多孔介质,利用Biot理论分别推导运动方程,地铁结构视为均匀厚度的无限长圆柱壳体,采用无扭矩条件下薄壁圆柱壳理论进行描述. 根据动力系统各交界面间的位移及应力连续条件,将以上各部位振动方程构建形成耦合动力方程组,计算了地铁周边含加固区地层的振动情况,并进一步对比了加固区刚度及黏滞阻尼对地层动力响应分布及传递的影响. 结果表明:稳态作用下,地铁周边地层切向加速度最大值在结构斜下方两侧30°处呈蝉翼状分布,径向加速度最大值出现在荷载作用方向土体内部;由于输入波形的简谐特性,加速度在地层中呈波动式衰减,但在加固区范围内切向加速度出现明显的放大现象,振动进入天然土后,受地层阻尼影响,动力响应显著衰减;提高加固区刚度有利于降低对切向加速度的传导,而径向加速度变化不大,黏滞阻尼减小时,所传递动力响应有所提升.

    Abstract:

    To ensure the stability of the construction and operation of subway lines in a soft stratum, the soil strength around the structure can be improved by grouting reinforcement. However, according to different reinforcement degrees, the discontinuity of the soil medium will be gradually changed, and the corresponding dynamic transmission characteristics will be changed, so the dynamic response distribution mode of the reinforced area and the surrounding stratum under the driving condition needs to be further explored. A dynamic coupling model of subway line-stratum with reinforcement area is established based on the analytical theory. The reinforced soil and the natural soil are considered as saturated porous media with different physical and mechanical properties, and the corresponding dynamic equations are derived respectively by Biot theory. The subway structure is regarded as an infinite cylindrical shell with uniform thickness, which is described by the theory of the thin-walled cylindrical shell under the torsion-free condition. According to the displacement and stress continuity conditions between interfaces of the dynamic system, the vibration equations of the above parts are combined into a set of coupled dynamic equations, and the vibration of the subway peripheral stratum containing the reinforced area is calculated, the effects of stiffness and viscous damping of the reinforcement area on the distribution and transmission of the stratum dynamic response are further compared. The results show that under the steady state action, the maximum tangential acceleration of the stratum around the subway shows a cicada-wing distribution at 30° on both sides of the structure diagonally downwards, and the maximum radial acceleration occurs in the soil in the direction of the load. Due to the harmonic characteristics of the input waveform, the acceleration decays fluctuating in the stratum, but an obvious amplification of tangential acceleration occurs in the reinforcement area. After the vibration enters the natural soil, the dynamic response is significantly attenuated by the effect of stratum damping. Increasing the stiffness of the reinforcement area is conducive to reducing the conduction of tangential acceleration, while the radial acceleration changes little, and the transmitted dynamic response increases when the viscous damping decreases.

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曹洋 ?,张利超 ,王祖瑞 ,李交锋 ,谭赠华.运营地铁周边地层加固区的动力扩散传递特性[J].湖南大学学报:自然科学版,2025,52(3):161~169

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  • 在线发布日期: 2025-03-31
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