The dynamic response of slope-tunnel systems under seismic loading is complex due to the intricate interaction between the slope, tunnel, and earthquake. This work investigates these dynamics characteristics through frequency-domain analysis, focusing on key parameters including peak Fourier spectrum amplitude (PFSA), the ratio of horizontal to vertical Fourier spectral (FSR), and acceleration amplification coefficient. The shaking table tests reveal that the seismic intensity and frequency significantly influences the dynamic response and spectral characteristics of the slope. As seismic intensity increases, the inherent frequencies, MPGA, and FSR within the slope gradually decrease, while PFSA increases. Low-frequency components (0–30 Hz) primarily cause overall deformation beneath the tunnel and inside the slope, while high-frequency components (48–70 Hz) mainly induce shear band deformation on the slope surface. Additionally, this work investigated the impact of seismic waves in different directions on the spectral transformation and damage deformation of the slope-tunnel system. Vertical seismic waves mainly affect settlement deformation and crack propagation in weak interlayers and tunnel. Meantime, the vertical waves amplify the high-frequency band in the Fourier spectrum of horizontal seismic waves. Moreover, the correlation between the inherent frequencies of the slope-tunnel system and MPGA is further evaluated via Pearson correlation coefficients. The cumulative damage factors of the slope following an exponential trend. The frequency-domain analysis conducted accurately represents the seismic response characteristics of slope-tunnel systems, thereby facilitating enhanced seismic performance and structural safety of engineering designs.

中文翻译：

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基于振动台试验频域分析的平行横穿弱夹层的坡隧系统动力响应特性及损伤演化过程


由于边坡、隧道和地震之间的复杂相互作用，边坡隧道系统在地震荷载作用下的动力响应很复杂。这项工作通过频域分析研究了这些动力学特性，重点关注关键参数，包括峰值傅里叶谱幅度 （PFSA） 、水平与垂直傅里叶谱之比 （FSR） 和加速度放大系数。振动台测试表明，地震强度和地震频率对边坡的动力响应和频谱特性有显著影响。随着地震强度的增加，斜坡内的固有频率、MPGA 和 FSR 逐渐降低，而 PFSA 增加。低频分量 （0–30 Hz） 主要引起隧道下方和边坡内部的整体变形，而高频分量 （48–70 Hz） 主要引起边坡表面的剪切带变形。此外，这项工作研究了不同方向的地震波对边坡隧道系统光谱变换和损伤变形的影响。垂向地震波主要影响弱夹层和隧道中的沉降变形和裂缝扩展。同时，垂直波放大了水平地震波傅里叶谱中的高频带。此外，通过 Pearson 相关系数进一步评估了边坡隧道系统固有频率与 MPGA 之间的相关性。坡度的累积损伤因子，呈指数趋势。进行的频域分析准确地代表了边坡隧道系统的地震响应特性，从而有助于提高工程设计的抗震性能和结构安全性。