Abstract:

The process of soil frost heave is nonlinear， and the stress deformation of the lining structure is also nonlinear. Under the action of frost heave force， the structure of the channel will undergo nonlinear deformation， including bending， shear， and torsion， which is particularly prominent in channels in cold regions. Therefore， it is necessary to accurately simulate and analyze the process of frost heave. In this context， a study is conducted on the frost heave mechanical model of lining channels in cold regions under the theory of double layered beams on elastic foundations. This study sets basic assumptions in order to simplify and abstract the problem in a reasonable manner， in order to better establish mathematical models. Using the theory of double layered beams on elastic foundations， the lining channel can be simplified into an elastic double layered beam structure and three mechanical equations， namely deflection equation， bending moment equation， and shear force equation， can be established to describe the deformation of the double layered beam structure. Under boundary conditions， use finite element analysis to solve equations and complete the mechanical analysis of frost heave in lining channels in cold regions based on the solution results. The experimental results show that the frost heave damage of U-shaped lined channels mostly occurs on both sides， and as the frost heave amount increases， the deflection and bending moment of the lined channel gradually increase， while the shear force gradually decreases. However， when the frost heave amount increases to a certain extent， the deflection， bending moment， and shear force sharply decrease.

Key words: theory of double layered beams on elastic foundations, cold regions, lined channels, frost heave mechanical model