Numerical methods in the study of seismic dynamics of underground pipelines

Abstract

A system of equations describing the oscillations of a rectilinear pipeline that interacts with the surrounding soil in the case of seismic action functioning in an arbitrary direction is presented. A numerical implementation of problems related to the determination of the mode of deformation of a pipeline experiencing seismic movement of the soil is performed. The methods of realization of boundary problem of seismodynamics of underground pipelines at arbitrary direction of seismic load are developed, as well as the methods of realization of the problems of seismodynamics of underground pipelines of non-orthogonal configuration, based on Finite deference method.

Underground polymeric l-shaped pipeline vibrations under seismic effect

“…Here, for the pipe I, the boundary conditions are formed at the junction of pipelines I and II. The boundary conditions (5) and relationships are used, where the junction node of pipelines I and II is indicated by B.…”

“…It was assumed that any structure is elongated, branching one both along the strike and in-depth, with complex rigid and flexible pipe joints in a complex node. In [4][5][6][7][8][9][10][11][12][13], the seismodynamics of the underground structures under the harmonic and real seismic impacts are numerically studied. *Corresponding author: nematilla81@mail.ru…”

Influence of the Vertical Earthquake Component on the Shear Vibration of Buildings on Sliding Foundations

“…In [17], vertical vibrations of the buildings with distributed and concentrated parameters are considered. In [18][19][20] seismodynamics of the underground pipelines under the harmonic and real impacts are numerically studied.…”

Study of the seismodynamics of spatially located underground pipelines with a nodal connection of non-orthogonal configuration

“…E.N. Figarov and many others who dealt with seismic resistance of structures working in the world's leading scientific centers, universities, and research institutes [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20].…”