Abstract ： Research purposes ： As the existing researches on the longitudinaly connected baiastless track mostly consider the variation of tlie overall temperature of tlie bridge and neglect tlie structural temperature gradient，a non - linear structural temperature pattern is fitted through statistical methods on the basis of the temperature field data，the data is acquired through the long term measurement on the field. A finite element model which considers the integration of rail，track plate，base plate，bridge and pier is established. A practical example of a certain large - span continuous girder bridge of Shanghai - Kunming high - speed railway is selected in this paper. The relative displacements between the various layers of track structures and the distribution rules of thelongitudinal additional stress of therail are respectively analyzed under the nonlinear temperature mode. Research conclusions ：( 1) The rail additional stress is nearly 0，when only consider the temperature patem of track plate and bed plate. (2) The temperature gradient of the bridge will trigger the sharp increase in the rail additional stress of the beam crevice，the structural temperature gradient needs to be considered in the research on longitudinally connected ballastless track. (3) The deformation of cement and asphalt mortar above the consolidation of the large - span continuous bridge exceeds its ultimate deformation tested by the experiment, it is suggested that sliear reinforcement should also be installed above the consolidation of the continuous girder bridge. (4) Broken plate will cause the significant increase of the rail additional stress, and therefore % the occurrence of the fracture of the longitudinally connected ballastless track should be rigorously restricted, and the exchange of the ballastless track should be done witliin the closure temperature. (5 ) The research results can provide reference for the design and improvement of longitudinal slab ballastless track on long span bridge.