Chaotic analysis of nonlinear viscoelastic panel flutter in supersonic flow

Pourtakdoust, S. H ; Sharif University of Technology | 2003

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  1. Type of Document: Article
  2. DOI: 10.1023/A:1025616916033
  3. Publisher: 2003
  4. Abstract:
  5. In this paper chaotic behavior of nonlinear viscoelastic panels in a supersonic flow is investigated. The governing equations, based on von Kàrmàn's large deflection theory of isotropic flat plates, are considered with viscoelastic structural damping of Kelvin's model included. Quasi-steady aerodynamic panel loadings are determined using piston theory. The effect of constant axial loading in the panel middle surface and static pressure differential have also been included in the governing equation. The panel nonlinear partial differential equation is transformed into a set of nonlinear ordinary differential equations through a Galerkin approach. The resulting system of equations is solved through the fourth and fifth-order Runge-Kutta-Fehlberg (RKF-45) integration method. Static (divergence) and Hopf (flutter) bifurcation boundaries are presented for various levels of vis-coelastic structural damping. Despite the deterministic nature of the system of equations, the dynamic panel response can become random-like. Chaotic analysis is performed using several conventional criteria. Results are indicative of the important influence of structural damping on the domain of chaotic region
  6. Keywords:
  7. Aeroelasticity ; Bifurcation ; Chaos ; Nonlinear panel flutter ; Viscoelastic panel
  8. Source: Nonlinear Dynamics ; Volume 32, Issue 4 , 2003 , Pages 387-404 ; 0924090X (ISSN)
  9. URL: https://link.springer.com/article/10.1023/A:1025616916033