Damping effects in nonlinear panel flutter

Bismarck-Nasr, Maher N.; Bones, Carlos A.

doi:10.2514/3.14464

Cited by 2 publications

(2 citation statements)

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“…Singha и Mandal [12] исследовали флаттер многослойных композитных пластин и цилиндрических панелей. В работе Bismarck-Nasr и Bones [13] рассмотрены стабилизирующие эффекты структурного демпфирования в задачах флаттера. Song et al [14] исследуют флаттер плоских консольно-защемленных пластин со структурной нелинейностью в сверхзвуковом потоке газа.…”

Section: Introductionunclassified

Spectral Dynamic Stiffness Method for the Flutter Problem of Combined Plates

Papkov

Papkova

Pasechnik

2023

PNRPU Mechanics Bulletin

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At present time, the spectral dynamic stiffness method is being actively developed as an alternative to the finite element method for vibration and stability problems of composite structures from beams, rods, plates and shells. This approach, based on exact solutions of governing differential equations, makes it possible to more effectively study the problem in the medium and high frequency ranges, and gives analytical expressions for natural modes. It is proposed to use the advantages of this method to study the problems of dynamic stability and flutter of an orthotropic composite plate in a supersonic gas flow. Using the linear approximation of piston theory, solution of the problem is investigated according to the Galerkin method on the basis of the eigenforms of a composite plate in vacuum. According to this approach the boundary value problem is reduced to a homogeneous infinite linear algebraic system of equations with coefficients are depending from physical-mechanical and geometrical parameters of the problem. The frequency parameter is included in the system linearly, that allows us to reduce eigenproblem for infinite system to the problem of determining the eigenvalues and vectors of a matrix. The convergence of the Galerkin method depending on the number of basis functions is studied numerically. It is shown that the first 16 eigenforms provide the good convergence of the method. Examples of numerical implementation are given, obtained solution allow us to study the dependence of the critical velocity from the properties of the material and geometry of the combined plate.

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Section: Introductionunclassified

Spectral Dynamic Stiffness Method for the Flutter Problem of Combined Plates

Papkov

Papkova

Pasechnik

2023

PNRPU Mechanics Bulletin

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“…Lottati [4] treated the linear viscoelastic panel case and showed the viscoelastic damping destabilized the panel, while external damping stabilized the system. The damping effect on nonlinear panel flutter in supersonic flow was investigated in the work of the current literature [5,6]. In this study, dynamic instability behavior of linear viscoelastic panels in supersonic flow is investigated based on variations of three non-dimensional control parameters including the preload x R , dynamic pressure λ and viscoelstic damping coefficientη .…”

Section: Introductionmentioning

confidence: 99%

Flutter Analysis of Viscoelastic Panels in Supersonic Flow

Zhao

Yang

2013

AMR

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In this paper, dynamic instability behavior of a linear viscoelastic panel in supersonic flow is investigated. The quasi-steady piston theory of supersonic flow is employed for the aerodynamic pressure. The partial differential governing equation of isotropic flat panel is derived by introducing viscoelastic structural damping based on Kelvins model. The panel governing equation is transformed into a set of ordinary differential equations via the Galerkin approach. First-order state equations are afterwards obtained and solved by means of a standard eigenvalue calculation. The dynamic instability of viscoelstic panels is predicted by the feature of characteristic roots. The phenomena of coupled-mode flutter without structural damping and single-mode flutter with structural damping induced by the supersonic flow are observed for the different dynamic pressure values. Results indicate that structural damping plays an important role for the stability of panels flutter. Flutter threshold keeps decreasing as viscoelastic structural damping is increased.

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Damping effects in nonlinear panel flutter

Cited by 2 publications

References 0 publications

Spectral Dynamic Stiffness Method for the Flutter Problem of Combined Plates

Spectral Dynamic Stiffness Method for the Flutter Problem of Combined Plates

Flutter Analysis of Viscoelastic Panels in Supersonic Flow

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