A comparison of center-manifold reduction of nonlinear integro-differential flutter equation and approximate set of ordinary differential equations

• Autorzy: Grzędziński J.
• Konferencja: Proceedings of the Third Seminar on Recent Research and Design Progress in Aeronautical Engineering and its Influence on Education/seminar(III; 23-25.11.1998; Warszawa, Polska)
• Języki publikacji: EN

Abstrakty

EN

A nonlinear integro-differential flutter equation of a thin airfoil placed in an incompressible flow is solved by two different methods. The first method involves the center-manifold reduction and gives the asymptotic limit cycle amplitude and frequency in terms of power series expansions. The second method replaces the integro-differential equation by an approximate set of first-order ordinary differential equations which are solved by using bifurcation and continuation software package. A comparison of these two methods shows that the domain of a good agreement between them varies significantly depending on the parameters of the problem.

Słowa kluczowe

EN

ordinary differential equation; bifurcation; nonlinear control system

PL

równanie różniczkowe zwyczajne; bifurkacja; nielinearny system kontroli

• Wydawca: Institute of Aeronautics and Applied Mechanics, Warsaw University of Technology
• Czasopismo: Research Bulletin / Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics
• Rocznik: 1999
• Tom: nr 9
• Strony: 7--14
• Opis fizyczny: Bibliogr. 8 poz., rys., tab.

Twórcy

autor

Grzędziński J.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, Poland