Research on Spatial Mapping Model for Additional Cumulative Deformation of Bridge and Track Geometry
The additional deformation of the high-speed railway bridge will lead to changes in track geometry,aggravat-ing the dynamic interaction between train and ballastless track-bridge structure,and affecting the safety of vehicles on the bridge.In this paper,based on the study of 32 m simply supported beam bridge-CRTS Ⅱ slab ballastless track struc-ture,with the girder being simplified as a coupled plate structure,the improved Fourier series was selected as the shape function of the structure.By inputting the additional deformation value of the girder,the vertical and lateral deformation functions of each structural layer of the track were solved based on the potential energy principle,and the spatial map-ping model between the deformation of the bridge structure and the track geometry was established.An analysis was made on the deformation law of track geometry under the typical lateral and vertical combined deformation of the bridge under the condition of the base plate void.The results show that the rail deformation curve obtained by the spatial mapping model and the finite element model is in good agreement.After a few iterations of the mapping model,the position,am-plitude and area of the base plate void can be obtained.The rail has a coupled deformation effect under the combined lat-eral and vertical deformation of the girder.The amplitude of the lateral rotation angle of the girder has a great influence on the vertical deformation of the rail,and will lead to the opposite trend of the range and amplitude of the void areas of the left and right base plates,thereby changing the maximum deformation values of the"up-warping and"concave"rails on both sides above the base plate.The vertical settlement value of the pier basically does not affect the transverse deformation of the rail.
high-speed railwayadditional bridge deformationtrack geometrypotential energy principlespatial mapping model
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