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陕耀, 苏瓅, 周顺华. 倾斜界面耦合弹性层中的渡越辐射能[J]. 力学学报, 2020, 52(1): 111-123. DOI: 10.6052/0459-1879-19-246
引用本文: 陕耀, 苏瓅, 周顺华. 倾斜界面耦合弹性层中的渡越辐射能[J]. 力学学报, 2020, 52(1): 111-123. DOI: 10.6052/0459-1879-19-246
Yao Shan, Li Su, Shunhua Zhou. TRANSITION RADIATION IN ELASTIC MEDIUMS COUPLED BY AN INCLINED INTERFACE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(1): 111-123. DOI: 10.6052/0459-1879-19-246
Citation: Yao Shan, Li Su, Shunhua Zhou. TRANSITION RADIATION IN ELASTIC MEDIUMS COUPLED BY AN INCLINED INTERFACE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(1): 111-123. DOI: 10.6052/0459-1879-19-246

倾斜界面耦合弹性层中的渡越辐射能

TRANSITION RADIATION IN ELASTIC MEDIUMS COUPLED BY AN INCLINED INTERFACE

  • 摘要: 物理学中,摄动源在非均匀介质中或非均匀介质附近匀速直线运动所产生的能量辐射现象称为渡越辐射.列车沿轨道运行,由轮轨接触产生的弹性波在非均匀轨道和基础中传播将发生渡越辐射,而轨道和基础的非均匀性集中体现在不同轨道基础之间的过渡段(如路桥过渡段、桥隧过渡段或有砟-无砟轨道过渡段).为研究车致弹性波在过渡段中引发的渡越辐射现象,本文以典型高速铁路路桥过渡段结构形式为依据,建立了二维平面应力渡越辐射能计算模型.其中,两个材料参数不同的半无限弹性层由一倾斜界面耦合,底端固定,上表面自由,一个集中载荷在自由表面上匀速运动.界面两侧弹性体中的波动方程均分解为本征场、自由场两个部分分别求解,其中自由场波动方程采用分离变量法数值求解.通过模型求解得到了不同载荷移动速度和界面倾斜角度条件下的渡越辐射能及界面附近应变能密度.结果表明,渡越辐射能的大小随载荷移动速度增大单调非线性增大,移动载荷速度达到刚度较大一侧介质表面波速的74%时产生的渡越辐射能就将超过载荷本身激发的本征场应变能;界面倾斜角度越大,即两侧介质刚度过渡距离越短,渡越辐射能与本征场应变能比值越大.

     

    Abstract: The energy radiation phenomenon that is excited when a perturbation source moves along a straight line with a constant velocity in or near an inhomogeneous medium is referred as transition radiation. As a common physical phenomenon, transition radiation is emitted when train induced elastic waves propagate in non-uniform rail infrastructures, which are the inhomogeneous medium. Such non-uniformities of infrastructures are mainly concentrated in transition zones between different track structures, namely between bridge and subgrade, tunnel and bridge or ballast track and ballastless track. In this paper, a two-dimensional plane-stress model is established based on the common configuration of high-speed railway transition zone to investigate the transition radiation of the train-induced elastic wave in transition zones. Two semi-infinite elastic layers with different physical properties are coupled by an inclined interface. The bottom of each layer is fixed and the surface is free. A constant load moves on the free surface with a constant velocity passing through the inclined interface between two layers. The elastic wave field is solved separately in an eigenfield and a free field, respectively. The free field is solved by employing the method of separation of variables. The transition radiation energy flux and the energy flux near the interface are calculated separately with different combinations of load moving velocities and interface inclined angles to analyze the influence of these two factors on the transmission of transition radiation. Results show that the total transition radiation energy increases monotonically and non-linearly with the increase of load moving velocity and interface inclined angle. The transition radiation energy even exceeds the strain energy in the eigenfield when the load velocity reaches 74% of the Rayleigh wave velocity in this case. A larger interface inclined angle (i.e. a shorter transition zone) leads to a larger ratio of the transition radiation energy to eigenfield strain energy.

     

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