Study on theories of axial response of dynamically loaded single piles based on plane strain assumption

By Laplace transformation,the interaction between a dynamically loaded end bearing pile and a soil layer is theoretically investigated first.The displacement and velocity response function at pile head in frequency domain and the dynamic stiffness of pile are obtained in a closed form.A semianalytical solution for the velocity response of pile subjected to a semisine wave exciting force is also developed.A comparison between theories based on plane strain assumption and the solutions developed in this paper is investigated,and some important conclusions are obtained.