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采用半解析法研究了列车荷载作用下列车-轨道-饱和地基系统的耦合振动问题。研究模型共分为3部分:车体简化为一个多刚体系统,在车轮与钢轨之间引入线性Hertizian弹簧接触模型模拟轮轨动力相互作用、采用离散轨枕支撑的弹性Euler梁来模拟轨道系统、下卧土体采用多孔饱和半空间模型。列车荷载分为轴重和由轨道不平顺引起的轮轨动力相互作用力。采用Fourier变换分别求解各子系统的控制方程,并通过动力子结构法对各子系统进行耦合。土体在时域内的动力响应通过快速Fourier变换求得。在分析了轮轨动力相互作用力的基础上,研究了轮轨动力作用力和列车轴重作用下饱和地基的动力响应,并分析了轨枕间距和土体渗透系数对饱和地基振动响应的影响。研究表明,轮轨动力作用力对地基远场振动有重要贡献,同时枕木间距对轨道与地基振动响应有较大影响。
The semi-analytical method was used to study the coupled vibration of train-track-saturated foundation under train loading. The research model is divided into three parts: the vehicle body is simplified as a multi-rigid body system, a linear Hertizian spring contact model is introduced between the wheel and the rail to simulate the wheel-rail interaction, the elastic Euler beam with discrete sleepers is used to simulate the orbit system, Porous soil saturated porous half-space model. Train load is divided into axle load and wheel-rail power interaction caused by rail irregularity. Fourier transform is used to solve the control equations of each subsystem respectively, and the subsystem is coupled by dynamic substructure method. The dynamic response of soil in time domain is obtained by fast Fourier transform. Based on the analysis of the wheel-rail dynamic interaction force, the dynamic response of the saturated foundation under the wheel-rail dynamic force and train axle load is studied, and the influence of sleeper spacing and soil permeability coefficient on the vibration response of saturated ground is analyzed. The research shows that the wheel-rail dynamic force plays an important role in the far-field vibration of the foundation, and the spacing of the sleepers has a great influence on the vibration response of the track and foundation.