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利用实测钢轨加速度时程,建立地铁列车二系弹簧模型,考虑轮轨非线性接触及轨道不平顺,求得了钢轨荷载时程。分别由钢轨荷载时程求得了简单模型的隧道仰拱荷载时程和由列车轮载求得了纵向钢轨-隧道-地基模型的仰拱轮载时程,为地铁环境振动分析提供了基本数据。在此基础上,进行地铁所致环境振动的二维和三维模型的计算比较,考虑了粘弹性和粘性人工边界的不同影响。对比得出了二维模型地铁环境振动分析的适用计算方法和隧道荷载以及三维模型的适用隧道荷载。还比较了三维模型环境振动分析采用不同人工边界的影响。最后,利用隧道仰拱荷载施加于二维模型分析了地面振动的衰减规律,并与实测数据进行了比较,结果符合较好。
Based on the measured time history of rail acceleration, a secondary spring model of subway train was established. Considering the non-linear contact of wheel and rail and the irregular track, the time history of rail load was obtained. The simple calculation model of tunnel inverted arch load time and the vertical track-tunnel-foundation model’s inverted arch wheel load time were obtained from the railway load time histories, which provided the basic data for the analysis of subway environment vibration. On this basis, the comparison and calculation of two-dimensional and three-dimensional models of environmental vibration caused by metro are taken into account and the different effects of viscoelastic and viscous artificial boundaries are considered. Comparisons were made between the two-dimensional model of subway environment vibration analysis of the applicable calculation method and tunnel load and three-dimensional model of the applicable tunnel load. The effects of different artificial boundaries on the analysis of environmental vibration in 3D models are also compared. Finally, the attenuation law of the ground vibration is analyzed by applying the tunnel inverted arch load to the two-dimensional model, and compared with the measured data, the result is in good agreement.