Dynamic Characteristics Research Of Saturation Viscoelasticity Half-space Foundation Under Moving Load

Under moving load of saturated viscoelastic half-space foundation mechanics research has always been a mechanics subject important content. Moving coordinate system is set up according to elastic mechanics method under dynamic control equation, guided by the semi-analytical method, and established the loads of dynamic response of soil saturated viscoelastic half space theory system, which using matlab software programming for numerical analysis. Specific content as follows:This paper is based on the basic theory of elastic mechanics. According to the equilibrium equation, geometric equation, physical equation,and darcy equation, the content studied the seapage flow continuity equation and dynamic control equation based on the saturated viscoelastic half space foundation, and also established the corresponding stress boundary condition and velocity boundary conditions.The flow continuity equation and dynamic control equation based on the saturated viscoelastic half space foundation is on the basis of the introduction of mobile unit method, using coordinate transformation, get moving coordinates viscoelastic saturated half space dynamic control equation of the foundation, seepage flow continuity equation and boundary conditions. The equation of viscoelastic saturated half space under moving load is studied in the dynamic response of the foundation.Using the semi-analytical method of weighted residual method, based on the moving coordinate system under the dynamic control equation of saturated viscoelastic half-space foundation build internal residue matrix, based on the boundary conditions, establishing boundary residue matrix, the final unit basic equation is obtained by using least-square method.The final calculation program compiled by using matlab software, the numerical calculation of saturated viscoelastic soil vertical displacement, longitudinal displacement, transverse displacement and the change rule of the distribution of pore water pressure along the depth.Based on elastic mechanics method, with the introduction of the moving element method established the saturated control equations of viscoelastic half space foundation, semi-analytical weighted residue method was used to construct the internal residue matrix and boundary residue matrix, calculated by matlab software programming, moving loads are analyzed and calculated by the dynamic response of viscoelastic half space foundation problem.