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Description
  • Článek uvádí přístup k modelování vibrací potrubí pod vlivem protékající tekutiny při respektování velkých posuvů a rotací, avšak přetvoření jsou uvažována malá. Z toho plyne předpoklad platnosti Hoockeova zákona. Pro odvození pohybové rovnice a jednotlivých matic vyjadřujících vnitřní a setrvačné síly je využita korotační formulace. V případě přímých prvků je jako měřítko deformace použit Greenův deformační tenzor vztažený ke korotačnímu souřadnicovému systému. Tento tenzor nemůže být nahrazen Cauchyho (lineárním) deformačním tenzorem navzdory faktu, že deformace jsou malé, protože Cauchyho deformační tenzor není schopen respek (cs)
  • The paper deals with modelling approach to the pipeline vibration under flowing fluid influence respecting large displacements and rotations but small strains and thus the validity of Hoocke’s law is supposed. A corotational formula is used for deriving of equation of motion and individual element matrices expressing inner and inertia forces. In case of straight elements a Green‘s strain tensor relative to corotational coordinate system is used. This tensor can not be replaced by Cauchy strain tensor inspite the deformation is small because the Cauchy strain tensor is not able to respect the membrane deformation [1]. The second Piola-Kirchhoff tensor is used as a measure of stress. The matrices corresponding to the inner and inertia forces are displacement and velocity dependent and for this reason the resulting equation of motion is geometrically nonlinear.
  • The paper deals with modelling approach to the pipeline vibration under flowing fluid influence respecting large displacements and rotations but small strains and thus the validity of Hoocke’s law is supposed. A corotational formula is used for deriving of equation of motion and individual element matrices expressing inner and inertia forces. In case of straight elements a Green‘s strain tensor relative to corotational coordinate system is used. This tensor can not be replaced by Cauchy strain tensor inspite the deformation is small because the Cauchy strain tensor is not able to respect the membrane deformation [1]. The second Piola-Kirchhoff tensor is used as a measure of stress. The matrices corresponding to the inner and inertia forces are displacement and velocity dependent and for this reason the resulting equation of motion is geometrically nonlinear. (en)
Title
  • Modelling of pipeline systems conveying fluid under large displacements and rotations
  • Modelling of pipeline systems conveying fluid under large displacements and rotations (en)
  • Modelování potrubí přepravujících tekutinu s respektováním velkých (cs)
skos:prefLabel
  • Modelling of pipeline systems conveying fluid under large displacements and rotations
  • Modelling of pipeline systems conveying fluid under large displacements and rotations (en)
  • Modelování potrubí přepravujících tekutinu s respektováním velkých (cs)
skos:notation
  • RIV/49777513:23520/06:00000128!RIV07-MSM-23520___
http://linked.open.../vavai/riv/strany
  • 7-10
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0519)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 486251
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/06:00000128
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • vibration; pipeline systems; nonlinear systems; corotational formulation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [EC86A364EA56]
http://linked.open...v/mistoKonaniAkce
  • Wisla
http://linked.open...i/riv/mistoVydani
  • Gliwice
http://linked.open...i/riv/nazevZdroje
  • Modelling and optimization of physical systems
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Dupal, Jan
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
http://purl.org/ne...btex#hasPublisher
  • Politechnika Slaska
https://schema.org/isbn
  • 83-60102-30-9
http://localhost/t...ganizacniJednotka
  • 23520
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