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Meccanica
Erschienen in: Meccanica 7/2017

02.08.2016

Stability analysis of a fractional viscoelastic plate strip in supersonic flow under axial loading

verfasst von: Mojtaba Asgari, Mohammad Reza Permoon, Hassan Haddadpour

Erschienen in: Meccanica | Ausgabe 7/2017

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Abstract

The stability of a viscoelastic plate strip, subjected to an axial load with the Kelvin–Voigt fractional order constitutive relationship is studied. Based on the classical plate theory, the structural formulation of the plate is obtained by using the Newton’s second law and the aerodynamic force due to the fluid flow is evaluated by piston theory. The Galerkin method is employed to discretize the equation of motion into a set of ordinary differential equations. To determine the stability margin of plate the obtained set of ordinary differential equations are solved using the Laplace transform method. The effects of variation of the governing parameters such as axial force, retardation time, fractional order and boundary conditions on the stability margin of fractional viscoelastic panel are investigated and finally some conclusions are outlined.
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Literatur
1.
Fung Y (1960) A summary of the theories and experiments on panel flutter. Guggenheim Aeronautical Laboratory, California Institute of Technology, Pasadena
2.
Johns DJ (1965) A survey on panel flutter. Technical report, AGARD
3.
Dowell E (1970) Panel flutter—a review of the aeroelastic stability of plates and shells. AIAA J 8(3):385–399ADSCrossRef
4.
Bismarck-Nasr MN (1992) Finite element analysis of aeroelasticity of plates and shells. Appl Mech Rev 45(12):461–482ADSCrossRef
5.
Bismarck-Nasr MN (1996) Finite elements in aeroelasticity of plates and shells. Appl Mech Rev 49(10S):S17–S24ADSCrossRef
6.
7.
8.
Potapov VD (1995) Stability of viscoelastic plate in supersonic flow under random loading. AIAA J 33(4):712–715ADSCrossRefMATH
9.
10.
Ariaratnam S, Abdelrahman N (2001) Almost-sure stochastic stability of viscoelastic plates in supersonic flow. AIAA J 39(3):465–472ADSCrossRef
11.
Pourtakdoust S, Fazelzadeh S (2003) Chaotic analysis of nonlinear viscoelastic panel flutter in supersonic flow. Nonlinear Dyn 32(4):387–404CrossRefMATH
12.
13.
Chen M, Jia L-B, Chen X-P, Yin X-Z (2014) Flutter analysis of a flag of fractional viscoelastic material. J Sound Vib 333(26):7183–7197ADSCrossRef
14.
Caputo M, Mainardi F (1971) Linear models of dissipation in anelastic solids. Riv Nuovo Cim (1971–1977) 1(2):161–198ADSCrossRef
15.
Caputo M, Mainardi F (1971) A new dissipation model based on memory mechanism. Pure Appl Geophys 91(1):134–147ADSCrossRefMATH
16.
Bagley RL, Torvik J (1983) Fractional calculus-a different approach to the analysis of viscoelastically damped structures. AIAA J 21(5):741–748ADSCrossRefMATH
17.
Bagley RL, Torvik P (1983) A theoretical basis for the application of fractional calculus to viscoelasticity. J Rheol (1978-present) 27(3):201–210ADSCrossRefMATH
18.
Bagley RL, Torvik PJ (1986) On the fractional calculus model of viscoelastic behavior. J Rheol (1978-present) 30(1):133–155ADSCrossRefMATH
19.
Rossikhin YA, Shitikova MV (1997) Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids. Appl Mech Rev 50(1):15–67ADSCrossRef
20.
Rossikhin YA, Shitikova MV (2010) Application of fractional calculus for dynamic problems of solid mechanics: novel trends and recent results. Appl Mech Rev 63(1):010801ADSCrossRef
21.
Yang T-Z, Fang B (2012) Stability in parametric resonance of an axially moving beam constituted by fractional order material. Arch Appl Mech 82(12):1763–1770CrossRefMATH
22.
Alvelid M (2013) Sixth order differential equation for sandwich beam deflection including transverse shear. Compos Struct 102:29–37CrossRef
23.
Behera D, Chakraverty S (2013) Numerical solution of fractionally damped beam by homotopy perturbation method. Cent Eur J Phys 11(6):792–798
24.
Demir DD, Bildik N, Sinir BG (2013) Linear vibrations of continuum with fractional derivatives. Bound Value Prob 1:1–15MathSciNetMATH
25.
Demir DD, Bildik N, Sınır B (2014) Linear dynamical analysis of fractionally damped beams and rods. J Eng Math 85(1):131–147MathSciNetCrossRef
26.
Di Paola M, Heuer R, Pirrotta A (2013) Fractional visco-elastic Euler–Bernoulli beam. Int J Solids Struct 50(22):3505–3510CrossRef
27.
Di Lorenzo S, Di Paola M, Pinnola FP, Pirrotta A (2014) Stochastic response of fractionally damped beams. Probab Eng Mech 35:37–43CrossRef
28.
Bucher C, Pirrotta A (2015) Dynamic Finite Element analysis of fractionally damped structural systems in the time domain. Acta Mech 226(12):3977–3990MathSciNetCrossRefMATH
29.
Sınır B, Demir DD (2015) The analysis of nonlinear vibrations of a pipe conveying an ideal fluid. Eur J Mech B Fluids 52:38–44MathSciNetCrossRef
30.
Lewandowski R, Baum M (2015) Dynamic characteristics of multilayered beams with viscoelastic layers described by the fractional Zener model. Arch Appl Mech 85(12):1793–1814CrossRefMATH
31.
Ashley H (1956) Piston theory—a new aerodynamic tool for the aeroelastician. J Aeronaut Sci (Inst Aeronaut Sci) 23(12):1109–1118MathSciNetCrossRef
32.
Wolfram Research I (2015) Mathematica. Version 10.1. Wolfram Research, Champaign
Metadaten
Titel
Stability analysis of a fractional viscoelastic plate strip in supersonic flow under axial loading
verfasst von
Mojtaba Asgari
Mohammad Reza Permoon
Hassan Haddadpour
Publikationsdatum
02.08.2016
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 7/2017
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-016-0494-z

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