Vertical vibration of a partially embedded pile group in transversely isotropic soils

Vertical harmonic vibration of piled raft foundations in layered soils

“…Recently, Ai et al put forward a method to solve the dynamic problem of a pile group partially embedded in soils. This paper extends the method of analysis for a piled raft foundation subjected to vertical loads, where the raft rests on the ground surface.…”

“…This paper extends the method of analysis for a piled raft foundation subjected to vertical loads, where the raft rests on the ground surface. Similar to the derivation for a partially embedded pile group , each pile in the piled raft foundation is divided into np cylindrical pile elements with a total of np + 1 nodes located at the tip and head of elements. In addition, as shown in Figure , the raft resting on the ground surface is subdivided into nr square raft elements, and each pile head is appropriately filled in one raft element.…”

“…The detailed derivations of Eqs. and have been described in reference , which is not discussed in the present paper for brevity.…”

“…In this paper, an efficient and practical method is proposed to calculate the vertical dynamic impedances of piled raft foundations in the layered soil, which can be implemented on a personal computer. The present work is an extension of an earlier paper [19], where the piles in the pile group were partially embedded in a layered soil and the rigid pile cap was not in contact with the soil. In the present paper, the piles in the piled raft foundations are assumed to be fully embedded in layered soils, and the presence of raft contacting with the ground surface is taken into account in the analysis.…”

“…Pile groups with the pile cap connecting each pile head are commonly used in engineering practice to support the superstructures of heavy machineries, bridges, and buildings. In the past decades, many researches focus their efforts on the dynamic analysis of pile groups in single-phase elastic media [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] or saturated poroelastic media [21][22][23][24][25][26], whereas the pile caps were not in contact with the soil. This means the effect of pile caps on the responses of pile groups are neglected.…”