Рашидов Т.Р., Мардонов Б.М., Ан Е.В. «Поперечные колебания подземных трубопроводов при осевом нагружении в рамках геометрически нелинейной теории» Прикладная механика, 55, № 2, с. 133-144 (2019)

The transverse motions of underground pipeline located in the water-saturated fine-grained soil are studied using the developed interaction models in the system “pipeline–soil”. In the general case, this process should be described by a system of nonlinear equations with the common taking into account the longitudinal and transverse motions. To solve the problem, an approximate numerical method is used. The possible uplifting of the pipelines located in the water-saturated soil is determined under action of the longitudinal seismic loading. An effect of the soil conditions and geometrical characteristics on transverse motion of the underground pipeline is shown. The results of studies are presented as curves of dependence of the pipeline transverse displacements on time and accompanied by analysis.