NONLINEAR VIBRATIONS OF FLUID-FILLED VISCOELASTIC CYLINDRICAL SHELLS
DOI:
https://doi.org/10.26512/ripe.v2i22.20881Palavras-chave:
Cylindrical shells. Viscoelastic material. Fluid-structure interaction. Nonlinear vibrations.Resumo
In this work the non-linear vibrations of a simply supported viscoelastic fluid-filled circular cylindrical shells subjected to lateral harmonic load is studied. Donnell's non-linear shallow shell theory is used to model the shell, assumed to be made of a Kelvin-Voigt material type, and a modal solution with six degrees of freedom is used to describe the lateral displacements. The Galerkin method is applied to derive a set of coupled non-linear ordinary differential equations of motion. The influence of shell geometry, flow velocity and dissipation parameter are studied and special attention is given to resonance curves. Obtained results show that the viscoelastic dissipation parameter, flow velocity and geometry have significant influence on the nonlinear behavior of the shells as displayed in instability loads and resonance curves.
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Referências
Alijani F, Amabili M., 2013. Non-linear vibrations of shells: A literature review from 2003 to 2013. International Journal of Non-Linear Mechanics, pp. 58:233”“257.
Amabili M., 2008. Nonlinear Vibrations and Stability of Shells and Plates. 1st ed. New York: Cambridge University Press.
Amabili M., Pellicano F, Païdoussis M.P., 1999. Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part I: Stability. Journal of Sound and Vibration. vol. 225, pp.655-699.
Amabili, M. Pellicano, F. and Païdoussis, M.P., 2000. Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part III: truncation effect without flow and experiments, Journal of Sound and Vibration 237. pp. 617”“640.
Antman SS, Lacarbonara W., 2009. Forced Radial Motions of Nonlinearly Viscoelastic Shells. Journal of Elasticity, vol. 96, pp. 155”“190.
Breslavsky I.D, Avramov K.V., 2013. Effect of boundary condition nonlinearities on free large-amplitude vibrations of rectangular plates. Nonlinear Dynamics, vol. 74, pp.615-627.
Cheng C, Zhang N., 2001. Dynamic behavior of viscoelastic cylindrical shells under axial pressure, Applied Mathematics and Mechanics, vol. 2, pp. 1-9.
Cederbaum G, Touati D., 2002, Postbuckling analysis of imperfect non-linear viscoelastic cylindrical panels. International Journal of Non-Linear Mechanics, vol. 37, pp.757”“762.
Del Prado Z, Argenta A.L, Da Silva F, Gonçalves P.B., 2014, The effect of material and geometry on the non-linear vibrations of orthotropic circular cylindrical shells. International Journal of Non-Linear Mechanics, vol. 66, pp. 75”“86.
Eshmatov B.K, Khodjaev D.A., 2007a, Non-linear vibration and dynamic stability of a viscoelastic cylindrical panel with concentrated mass. Acta Mechanica, vol. 190, pp.165”“183.
Eshmatov B.K., 2007b, Nonlinear vibrations of viscoelastic cylindrical shells taking into account shear deformation and rotatory inertia. Nonlinear Dynamics, vol. 50, pp. 353”“361.
Eshmatov B.K., 2007c, Dynamic stability of viscoelastic circular cylindrical shells taking into account shear deformation and rotatory inertia. Applied Mathematics and Mechanics, vol. 28, pp. 1319”“1330.
Eshmatov B.K, Khodzhaev D.A., 2007d, Non-linear vibration and dynamic stability of a viscoelastic cylindrical panel with concentrated mass. Acta Mechanica, vol. 190, pp. 165”“183.
Eshmatov B.K, Khodzhaev D.A., 2008, Dynamic stability of a viscoelastic cylindrical panel with concentrated masses. Strength of Materials, vol. 40, pp. 491”“502.
Eshmatov B.K., 2009, Nonlinear vibrations and dynamic stability of a viscoelastic circular cylindrical shell with shear strain and inertia of rotation taken into account. Mechanics of Solids, vol. 44, pp. 421”“434.
Esmailzade E, Jalali M.A., 1999, Nonlinear Oscillations of Viscoelastic Rectangular Plates. Nonlinear Dynamics, vol. 18, pp. 311”“319.
Lacarbonara W, Antman S.S., 2012, Parametric instabilities of the radial motions of non-linearly viscoelastic shells under pulsating pressures. International Journal of Non-Linear Mechanics, vol. 47, pp. 461”“472.
Mohammadi F, Sedaghati R., 2012, Vibration analysis and design optimization of viscoelastic sandwich cylindrical shell. Journal of Sound and Vibration, vol. 331, pp. 2729”“2752
Païdoussis, M.P., 2004, Fluid Structure Interactions. Slender Structures and Axial Flow, Vol. 2, Elsevier Academic Press, London.
Shina W., Leeb S, Ohc I, Lee I., 2009, Thermal post-buckled behaviors of cylindrical composite shells with viscoelastic damping treatments. Journal of Sound and Vibration, vol. 323, pp. 93”“111.
Stavridis L, Armenà kas A., 1988, Analysis of Shallow Shells with Rectangular Projection: Theory. ASCE Journal of Engineering Mechanics, vol. 114, pp. 923”“942.
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