地铁典型无砟轨道的薄板建模适用性研究

Applicability Analysis of Subway Typical Ballastless Track Modeling Based on Kirchhoff-Love Plate Theory

基于薄板理论(Kirchhoff-Love Plate Theory)的板式轨道建模,具有物理概念清晰和计算高效的特点,被广泛运用于地铁典型无砟轨道的计算分析中,但其适用性不甚明确。为此,本文分别基于薄板理论和有限元方法,建立了用于地铁典型无砟轨道的振动声辐射预测的薄板模型和实体模型,对比分析了薄板建模对钢轨、轨道板和路基的声振响应特性的影响,明确了对不同响应结果的影响和频率适用范围。进而对最关键的轨道板厚宽比进行了参数调查,量化了不同声振计算下的薄板建模适用的厚宽比取值。本文相关研究,可为基于薄板理论建立地铁典型无砟轨道模型的适用性提供参考和依据。

The slab track model established based on Kirchhoff-Love plate theory has the characteristics of clear physical concepts and high computational efficiency.Even though it is widely used in the calculation and analysis of slab track,its applicability is not clear.Therefore,based on the Kirchhoff-Love plate theory and the finite element method,the thin plate model and the solid model for predicting the vibration sound radiation of the subway typical ballastless track are established respectively,and the acoustic vibration response of the thin plate modeling to the rail,the slab and the subgrade of the track is compared and analyzed,and the applicable frequency range for different situation is clearified.The parameter surveys are conducted on the most critical track bed thickness-to-width ratios for different response results,and quantified the values of the thickness-to-width ratios applicable to thin plate modeling under different acoustic vibration calculations.The relevant research in this paper can provide a reference and basis for the applicability of establishing a model of subway typical ballastless track based on the thin plate theory.