Nonlinear vibrations of fluid transporting pipelines on a viscoelastic foundation

The article presents the results of a study of vibration process in pipelines conveying fluid or gas. A mathematical model pipeline was used in the form of cylindrical shell and a viscoelastic foundation in the form of two-parameter model of the Pasternak. The hereditary Boltzmann-Volterra theory of...

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Main Authors: Bakhtiyar Khudayarov, Fozil Turaev
Format: Article
Language:English
Published: Peter the Great St. Petersburg Polytechnic University 2019-03-01
Series:Инженерно-строительный журнал
Subjects:
Online Access:https://engstroy.spbstu.ru/en/article/2019.86.4/
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author Bakhtiyar Khudayarov
Fozil Turaev
author_facet Bakhtiyar Khudayarov
Fozil Turaev
author_sort Bakhtiyar Khudayarov
collection DOAJ
description The article presents the results of a study of vibration process in pipelines conveying fluid or gas. A mathematical model pipeline was used in the form of cylindrical shell and a viscoelastic foundation in the form of two-parameter model of the Pasternak. The hereditary Boltzmann-Volterra theory of viscoelasticity is used to describe viscoelastic properties. The effects of the parameters of the Pasternak foundations, the singularity in the heredity kernels and geometric parameters of the pipeline on vibrations of structures with viscoelastic properties are numerically investigated. It is found that an account of viscoelastic properties of the pipeline material leads to a decrease in the amplitude and frequency of vibrations by 20–40 %. It is shown that an account of viscoelastic properties of soil foundations leads to a damping of vibration process in pipeline.
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spelling doaj.art-d309a99615b84f73b80e61a9d29d62602022-12-21T19:59:19ZengPeter the Great St. Petersburg Polytechnic UniversityИнженерно-строительный журнал2071-03052019-03-01862304510.18720/MCE.86.4Nonlinear vibrations of fluid transporting pipelines on a viscoelastic foundationBakhtiyar Khudayarov0Fozil Turaev1Tashkent Institute of Irrigation and Agricultural Mechanization EngineersTashkent Institute of Irrigation and Agricultural Mechanization EngineersThe article presents the results of a study of vibration process in pipelines conveying fluid or gas. A mathematical model pipeline was used in the form of cylindrical shell and a viscoelastic foundation in the form of two-parameter model of the Pasternak. The hereditary Boltzmann-Volterra theory of viscoelasticity is used to describe viscoelastic properties. The effects of the parameters of the Pasternak foundations, the singularity in the heredity kernels and geometric parameters of the pipeline on vibrations of structures with viscoelastic properties are numerically investigated. It is found that an account of viscoelastic properties of the pipeline material leads to a decrease in the amplitude and frequency of vibrations by 20–40 %. It is shown that an account of viscoelastic properties of soil foundations leads to a damping of vibration process in pipeline.https://engstroy.spbstu.ru/en/article/2019.86.4/vibration processfoundationpipelinemathematical modelnumerical algorithmcylindrical shell
spellingShingle Bakhtiyar Khudayarov
Fozil Turaev
Nonlinear vibrations of fluid transporting pipelines on a viscoelastic foundation
Инженерно-строительный журнал
vibration process
foundation
pipeline
mathematical model
numerical algorithm
cylindrical shell
title Nonlinear vibrations of fluid transporting pipelines on a viscoelastic foundation
title_full Nonlinear vibrations of fluid transporting pipelines on a viscoelastic foundation
title_fullStr Nonlinear vibrations of fluid transporting pipelines on a viscoelastic foundation
title_full_unstemmed Nonlinear vibrations of fluid transporting pipelines on a viscoelastic foundation
title_short Nonlinear vibrations of fluid transporting pipelines on a viscoelastic foundation
title_sort nonlinear vibrations of fluid transporting pipelines on a viscoelastic foundation
topic vibration process
foundation
pipeline
mathematical model
numerical algorithm
cylindrical shell
url https://engstroy.spbstu.ru/en/article/2019.86.4/
work_keys_str_mv AT bakhtiyarkhudayarov nonlinearvibrationsoffluidtransportingpipelinesonaviscoelasticfoundation
AT fozilturaev nonlinearvibrationsoffluidtransportingpipelinesonaviscoelasticfoundation