Analytical Solution of Kinematic Response of Batter Pile under P and SV Waves Earthquake

This paper develops an analytical solution to investigate the kinematic response of a batter pile subjected to vertical and horizontal earthquake components (P and SV waves). The pile is assumed to have a circular cross section and perfectly attached to the soil. In addition, the soil layer is assumed to be homogenous and elastic. The governing differential equation of the soil-pile system is first derived and solved using appropriate boundary conditions. The kinematic response of the batter pile is obtained considering stress free condition at the pile head and the ground surface. The effects of contributing parameters on the pile response such as batter angle, pile geometry, and soil profile properties are considered and the results will be presented. It will be shown that the bending moment, axial and horizontal forces and displacement of batter pile head with the free head surface of soil will be induced in the pile due to the components earthquake excitation. In addition, the ratio of vertical and horizontal pile kinematic response with soil surface is changed with variation of batter angle.

کلیدواژه ها:

Batter pile ، kinematic response ، vertical and horizontal earthquake excitations ، elasto-dynamic