Annotation. In this work, oscillations of pile foundations are studied, taking into account soil conditions for various types of pile fastening to structures, and rational methods for choosing the parameters of piles and their quantities in earthquake-resistant construction are developed. Based on the results of theoretical studies, resonance curves were constructed for three types of fixings of the “structure-pile group” system. A special technique was proposed to determine the amplitude-frequency characteristics of the system.

In the course of research, we will consider two types of the problem under consideration. In the first task, transverse vibrations of a system of groups of piles elastically clamped with a rigid body at the level of floors are considered. In the second task, the joint work of the above-ground and underground parts of frame-pile structures under dynamic influences is studied.

In the article, solutions of a linear system of differential equations describing the deformations of elements of structures on pile foundations, dynamic, stiffness, geometric parameters, roots of the frequency equation, calculation of the numerical values ​​of displacements, bending moments, shear forces, etc.

Key words: grillage; dynamic impact; seismic platform; amplitude-frequency characteristic; bending moment; cutting force; calculation model; bed rate.