Non-linear, regular and chaotic vibrations of a plate in supersonic flow

• Autorzy: Dżygadło Z. , Nowatorski I. , Olejnik A.
• 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

Aeroelasticity of surface structures in supersonic flow is a domain which involves various linear and nonlinear vibrations, static and dynamic instabilites and limit cycle motions (cf. [1] - [4]). There can appear various types of bifurcations and regular or chaotic motions depending on the value of parameters of the system under investigation [3] -[7] In this paper nonlinear bending vibrations of a plate of finite length and infinite width in supersonic flow are considered under assumption that a in-plane compressing force is acting in the The dynamic pressure difference produced by the motion in gas stream is determined on the of the potential theory of supersonic flow [1], [2]. Finally, we obtain a nonlinear partial integro-equation describing the motion of the under investigation. The solution of this is obtained in the form of a series of eigenfunctions of the self-adjoined boundary-value vibration problem of the same plate In the vacuum. Making use of the Galerkin method we then obtain a set of nonlinear ordinary differential which can be analysed by means of methods. Types of bifurcations occurring in the problem are investigated, limit cycles of self-vibrations and regions of regular and chaotic can be determined.

Słowa kluczowe

EN

non-linear vibrations; regular vibrations; chaotic vibrations; supersonic flow

PL

drgania nielinearne; drgania regularne; drgania chaotyczne

• 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: 1998
• Tom: nr 8
• Strony: 153--160
• Opis fizyczny: Bibliogr. 7 poz., rys., tab., wykr.

Twórcy

autor

Dżygadło Z.

autor

Nowatorski I.

autor

Olejnik A.

• Military University of Technology and Institute of Aviation, Poland