Study On The Influence Of Uneven Settlement Of Collapsible Loess Foundation On Masonry Structure

With the implementation of the western development strategy,the infrastructure construction in the western region of China has developed rapidly.Because the western region of China is located in the Loess Plateau,there are a large number of collapsible loess,many building structures are built on the collapsible loess foundation.Collapsible loess will be rapidly collapsible and consolidated after being immersed in water under certain pressure.The uneven collapsible consolidation deformation will cause different degrees of damage to the superstructure,cause engineering diseases from time to time,seriously affect the service life of the structure,and pose a huge threat to the safety of people's lives and properties,The research on the cooperative work of collapsible loess foundation and superstructure is an urgent problem in the engineering field.In this paper,the collapsible loess foundation and its superstructure are studied as follows:(1)The binary medium model is improved;Based on the improved two-dimensional medium model and Biot's consolidation theory,fracture mechanics and continuum theory,the differential equations of collapsible loess foundation's collapsible consolidation deformation under concentrated force are established;In this paper,the boundary conditions are introduced,the Laplace transform and Hankel transform are used to solve the equations,and the mathematical expression of foundation deformation under vertical concentrated load is given,By using MATLAB program,the calculation results is closer to the consolidation deformation of loess foundation;(2)Based on the improved two-dimensional medium collapsible loess foundation collapsible consolidation deformation model,the upper masonry structure is simplified as a shear beam placed on collapsible loess foundation,the coordination model of the upper masonry structure and collapsible loess foundation is established,and the coordination differential equation is given;Based on the interaction principle of forces,Fourier series and Heavi-side step function,the mathematical expression of local void deformation of masonry structure foundation in collapsible loess area is derived;(3)Through the GEOstudio finite element software,the finite element model of coordination between the upper masonry structure and collapsible loess foundation is established,The results are in good agreement with the analytical solutions,It can be concluded that the coordination model of masonry structure and collapsible loess foundation proposed in this paper can reflect the actual situation,The mathematical expression is an effective method to solve the local void deformation of masonry foundation caused by uneven settlement of collapsible loess foundation.