Vertical Dynamic Response of Rock-Socketed Piles in a Layered Foundation

A simplified method is presented to investigate the dynamic response of rock-socketed piles embedded in a layered foundation. The finite element method is utilized to derive the dynamic stiffness matrix equations of the pile modelled as a 1D bar, and the exact stiffness matrix method is employed to establish the flexibility matrix equations of the foundation modelled as a 3D body. According to the pilesoil interaction condition, these matrices are incorporated together to obtain the solution for the dynamic response of rock-socketed piles. Finally, some numerical results are given to illustrate the influence of rocksocketed depth on the pile vertical impedance.

Horizontal Vibrations of Embedded Foundation in Multi-Layered Poroelastic Soils

In this paper, the dynamic response of rigid foundations of arbitrary shape embedded in multi-layered poroelastic soils subjected to time-harmonic horizontal loading is presented. The soil-structure interaction problem is investigated by employing a discretization technique and flexibility equations based on the influence functions obtained from an exact stiffness matrix scheme. The present solution scheme is verified with relevant existing solutions of rigid foundations on homogeneous elastic and poroelastic media. A selected set of numerical results are illustrated to portray the influence of various parameters, namely, frequency of excitation, poroelastic material parameters, foundation shapes, embedded depth, and the supporting soil systems, on non-dimensional horizontal compliances of rigid foundations.

Frame on Elastic Foundation / Rám Na Pružnom Podloží

This article deals with calculation of the beam and frame rested on elastic foundation using matrix displacement method. An exact stiffness matrix of a beam element on elastic foundation is formulated. The beam is rested on elastic Winkler foundation. At the end off paper, same results of frame on elastic foundation are presented.