Modelling of pipeline systems conveying fluid under large displacements and rotations

• Autorzy: Dupal J.
• Konferencja: Modelling and optimization of physical systems/International Seminar of Applied Mechanics (10 ; 16 - 18.06.2006 ; Wisła ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The paper deals with modelling approach to the pipeline vibration under flowing fluid influence respecting large displacements and rotations but smali 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 smali because the Cauchy strain tensor is not able to respect the membrane deformation [1]. The second Piola-Kirchhof 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.

Słowa kluczowe

EN

pipeline systems; modeling; vibrations

PL

systemy rurociągów; modelowanie; wibracje

• Wydawca: Wydawnictwo Katedry Mechaniki Stosowanej
• Czasopismo: Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
• Rocznik: 2006
• Tom: z. 31
• Strony: 7--10
• Opis fizyczny: Bibliogr. 2 poz.

Twórcy

autor

Dupal J.

• Department of Mechanics, University of West Bohemia in Pilsen,

Bibliografia

• [1] Crisfield M.A;: Non-linear Finite Element Analysis of Solid and Structures. Volume 1. John Wiley & Sons, 1991.
• [2] Dupal J.: Mathematical modelling of the pipeline systems under fluid flow outlet Proceedmgs of koloquium "Dynamics of Machines 2005", pp. 39-46 Prague 2005