Parametric excitation of pipes through fluid flow

• Autorzy: Szabó Z.
• Konferencja: International Conference on Numerical Mathematics and Computational Mechanics : NMCM'98 (8 th ; August 1998 ; Miskolc ; Hungary)
• Języki publikacji: EN

Abstrakty

EN

In this paper the dynamic behaviour of a continuum inextensible pipe containing fluid flow is investigated. The fluid is considered to be incompressible, frictionless and its velocity relative to the pipe has the same but time-periodic magnitude along the pipe at a certain time instant. The equations of motion are derived via Lagrangian equations and Hamilton's principle. The system is non-conservative, and the amount of energy carried in and out by the flow appears in the model. It is well-known, that intricate stability problems arise when the flow pulsates and the corresponding mathematical model, a system of ordinary or partial differential equations, becomes time-periodic. The method which constructs the state transition matrix used in Floquet theory in terms of Chebyshev polynomials is especially effective for stability analysis of systems with multi-degree-of-freedom. The stability charts are created w.r.t. the forcing frequency omega, the perturbation amplitude nu and the average flow velocity U.

Słowa kluczowe

EN

pulsating flow; Floquet theory; Chebyshev polynomials

PL

przepływ pulsujący; teoria Floqueta; wielomiany Czebyszewa

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 1999
• Tom: Vol. 6, No. 3-4
• Strony: 487--494
• Opis fizyczny: Bibliogr. 12 poz., rys., tab., wykr.

Twórcy

autor

Szabó Z.

• Technical University of Budapest, Department of Applied Mechanics, Budapest, H-1521, Hungary