One-Dimensional Non-Linear Response Analysis of Granular Cemented Al-luvium Using Perturbation Method

In present study, the response of a cemented granular and horizontal layer is investigated under one-dimensional harmonic vibrations applied at its base. The modeling was performed considering an infinite horizontal layer with displacements occurred in one direction with uniform shear stress and strain distributions on horizontal planes. It is considered that only shear displacements occur when the soil layer is subjected to seismic excitation at base. The nonlinear behavior due to cyclic loading can be determined using dynamic characteristics of soil like shear modulus and damping ratio. These dynamic characteristics are dependent to different parameters like confining pressure and cement content. In present study, an empirical model was applied for determination of dynamic characteristics of cemented and uncemented soil. By deriving the one degree of freedom equation of motion, an approximate solution was suggested using perturbation method. Finally, the resonance phenomenon was studied for cemented granular layer and the amplitudes were predicted with a precise approximation. Based on the results, the suggested method was able to predict the response of soil layer with good consistency comparing to the results of numerical methods like Runge-Kutta.