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.
The paper considers a class of problems of the dynamics of spatial systems of underground pipelines under the action of three-component seismic waves propagating in soil based on instrumental records of real earthquakes. A comparison was made of the impacts of harmonic and seismic waves on an underground pipeline during the Gazli earthquake. A graphical method for determining the dominant period to be used in calculations for harmonic impact was given.
In this article are considered some problems of oscillations of underground pipelines under seismic loading. The resulting system of equations is solved by the finite-difference of the second order of accuracy. The program is based on a computer algorithm implementation on oriented language Borland Delphi 7. Conducted theoretical and computational-experimental studies solve the problem of assessing the stress-strain state of underground pipelines under seismic effect the axes of the pipeline. The Stress-strain state of the underground pipeline is studied at linear and non-linear interaction with the soil. Linear and non-linear solutions are compared. Dangerous points of maximum normal stress occurrence under seismic loading in the underground pipeline are determined to take into account elastic pipe-soil system interaction. The conducted computational and experimental studies allow solving the problems of assessing the stress-strain state of pipelines under seismic loading, which is important for practical calculations.
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