The first studies on the dynamic behavior of railway lines go back to the 19th century, after the industrial revolution. Since then, numerous analytical solutions and numerical models have been developed toward understanding the dynamic response of moving loads. However, proposals that reproduce the vibrational behavior of subway lines remain challenging due to the complexity and number of variables involved. This paper presents two simplified numerical models built and validated with experimental data to simulate the subway dynamic behavior. The first simulated the vibration generation, whereas the other simulated the propagation throughout the soil. Analyses were conducted from 1/3 octave bands spectra, as in practice. The models showed the coefficient of friction of the wheel/rail contact does not impact the global level vibration significantly, and an estimation of this parameter (0.3) enabled an analysis of the attenuation conditions for the floating slab track (FST) system. The study of attenuations revealed FST stiffness changes are a more robust solution than changes in its mass. The wave soil propagation model has proved adequate in comparison to classic solutions, and a strategy for the estimate of error associated with two-dimensional (2D) simplifications is proposed. Despite the simplicity of the models, the numerical simulations fit the experimental data well, supporting simplified models that study subways, and promoting more vibration control evaluations at lower computational costs.

中文翻译：

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具有实验验证的地铁线路振动评估的简化数值模型

对铁路线动态行为的第一次研究可以追溯到 19 世纪工业革命之后。从那时起，为了理解移动载荷的动态响应，已经开发了许多解析解和数值模型。然而，由于涉及的变量的复杂性和数量，重现地铁线路振动行为的建议仍然具有挑战性。本文提出了两个简化的数值模型，用实验数据建立和验证，以模拟地铁动态行为。第一个模拟振动产生，而另一个模拟整个土壤的传播。在实践中，分析是从 1/3 倍频带光谱进行的。模型显示轮轨接触的摩擦系数不会显着影响整体水平振动，并且对该参数（0.3）的估计能够分析浮动平板轨道（FST）系统的衰减条件。衰减研究表明，FST 刚度变化是比其质量变化更可靠的解决方案。与经典解决方案相比，波浪土壤传播模型已被证明是足够的，并且提出了一种与二维 (2D) 简化相关的误差估计策略。尽管模型很简单，但数值模拟很好地拟合了实验数据，支持了研究地铁的简化模型，并以较低的计算成本促进了更多的振动控制评估。衰减研究表明，FST 刚度变化是比其质量变化更可靠的解决方案。与经典解决方案相比，波浪土壤传播模型已被证明是足够的，并且提出了一种与二维 (2D) 简化相关的误差估计策略。尽管模型很简单，但数值模拟很好地拟合了实验数据，支持了研究地铁的简化模型，并以较低的计算成本促进了更多的振动控制评估。衰减研究表明，FST 刚度变化是比其质量变化更可靠的解决方案。与经典解决方案相比，波浪土壤传播模型已被证明是足够的，并且提出了一种与二维 (2D) 简化相关的误差估计策略。尽管模型很简单，但数值模拟很好地拟合了实验数据，支持了研究地铁的简化模型，并以较低的计算成本促进了更多的振动控制评估。