Theoretical Basis of Methods for Calculating the Dynamic Characteristics of the Bases and Foundations of Oil and Gas Complex Equipment

Abstract

The monograph presents a comparison of mathematical and numerical calculation methods as the most promising in this field. Calculations by the above methods are proposed to be carried out according to the second limit state, that is, according to deformations, to determine the amplitudes of oscillations and settlements of the soil and structures. The mathematical method of dynamic phenomena was investigated using an idealized mathematical apparatus. The case of foundation oscillations is described if the soil exerts elastic resistance to compression and displacement. Calculations to determine the dynamic characteristics of foundations are recommended to be carried out in two directions: using mathematical equations and using software complexes. The use of a mathematical method in dynamic calculations allows to describe mathematically with the use of certain assumptions and to determine the dynamic characteristics of object oscillations, foundation settlement, which can be described using formulas. And the software complex using the numerical method of finite elements makes it possible to obtain a complete description of the field of vibration displacements, vibration accelerations, and vibration velocities. At the same time, graphs of the dependence of dynamic characteristics at any point of the calculation scheme on time and a graphic description of the deformed grid were obtained.