Nonlinear Response of Functionally Graded Panels with stiffeners in Supersonic Flow

Mohammadreza Amoozgar, Hossein Shahverdi, Hamidreza Ovesy

Research output: Contribution to journalArticlepeer-review


This paper aims to study the nonlinear response of a stiffened functionally graded plate in supersonic flow. To model the geometrically nonlinear behavior of the stiffened panel, the von Karman large deflection plate theory is employed and the stiffener which is placed on the plate in different positions is modeled by using the Euler-Bernoulli beam theory. These two structural models are coupled to each other via a pair of action reaction forces. The plate is in the supersonic regime and the quasi-steady first order piston theory is utilized to estimate the aerodynamic pressure induced by the supersonic flow. By using the Hamilton’s principle the nonlinear partial differential equations of the stiffened panel are obtained. These partial differential equations are converted to ordinary differential equations by using the Galerkin’s method which then solved by numerical integration. It is found that by using the stiffeners, the onset of flutter and also the limit cycle oscillation amplitude of the system changes dramatically and the rate of this change extremely depends on the volume fraction index of the plate made of functionally graded materials and the plate aspect ratio. Moreover, the effect of number of stiffeners on the aeroelastic behavior of FG panel is studied and it is clarified that by increasing the number of stiffeners, the flutter boundary increases.
Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalJournal of Aeroelasticity and Structural Dynamics
Issue number1
Publication statusPublished - 31 Jan 2017
Externally publishedYes


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