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Numerical Analysis of the Nonlinear Flutter of Viscoelastic Plates

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Abstract

The flutter velocities of viscoelastic plates are determined. It is shown that the viscoelastic characteristics reduce them

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REFERENCES

  1. I. Yu. Babich and A. N. Guz, “Stability of composite rods, plates, and shells,” Prikl. Mekh., 19, No.10, 3–19 (1983).

    Google Scholar 

  2. F. B. Badalov, Method of Power Series in the Nonlinear Hereditary Theory of Viscoelasticity [in Russian], Fan, Tashkent (1980).

    Google Scholar 

  3. F. B. Badalov, Kh. Eshmatov, and M. Yusupov, “Some methods of solving systems of integro-differential equations in viscoelastic problems,” Prikl. Mat. Mekh., 53, No.5, 867–871 (1987).

    MathSciNet  Google Scholar 

  4. A. S. Vol’mir, Nonlinear Dynamics of Plates and Shells [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  5. A. S. Vol’mir, A. T. Ponomarev, and S. A. Popytalov, “Dynamic properties of a wing panel made of composite materials,” Mekh. Polim., No. 4, 662–669 (1974).

    Google Scholar 

  6. A. A. Ilyushin, “Law of plane sections in the aerodynamics of high supersonic velocities,” Prikl. Mat. Mekh., 20, No.6, 733–755 (1956).

    Google Scholar 

  7. A. A. Kaminskii and I. Yu. Podil’chuk, “A method of solving boundary-value problems in the linear theory of viscoelasticity,” Prikl. Mekh., 34, No.12, 77–85 (1998).

    Google Scholar 

  8. V. G. Karnaukhov and I. F. Kirichok, “A method for solving quasistatic and dynamic problems of viscoelasticity,” Int. Appl. Mech., 13, No.4, 317–321 (1977).

    Google Scholar 

  9. B. A. Khudayarov, Nonlinear Flutter of Viscoelastic Plates and Cylindrical Panels [in Russian], PhD Thesis, Tashkent (1998).

  10. C. S. Ventres and E. H. Dowell, “Comparison of theory and experiment for nonlinear flutter of loaded plates,” AIAA J., 8, No.11, 2022–2030 (1970).

    Google Scholar 

  11. E. H. Dowell and H. M. Voss, “The effect of a cavity on panel vibration,” AIAA J., 1, No.2, 476–477 (1963).

    Google Scholar 

  12. E. H. Dowell, “Nonlinear oscillations of a fluttering plate,” AIAA J., 4, No.7, 1267–1275 (1966).

    Google Scholar 

  13. A. A. Kaminskii and M. F. Selivanov, “Influence of cyclic loading on crack growth kinetics in a viscoelastic orthotropic plate made of a composite material,” Int. Appl. Mech., 40, No.9, 1037–1041 (2004).

    Article  Google Scholar 

  14. V. G. Karnaukhov, “Thermal failure of polymeric structural elements under monoharmonic deformation,” Int. Appl. Mech., 40, No.6, 622–655 (2004).

    Article  Google Scholar 

  15. I. K. Senchenkov, Ya. A. Zhuk, and V. G. Karnaukhov, “Modeling the thermomechanical behavior of physically nonlinear materials under monoharmonic loading,” Int. Appl. Mech., 40, No.9, 943–969 (2004).

    Article  Google Scholar 

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Translated from Prikladnaya Mekhanika, Vol. 41, No. 5, pp. 91–96, May 2005.

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Khudayarov, B.A. Numerical Analysis of the Nonlinear Flutter of Viscoelastic Plates. Int Appl Mech 41, 538–542 (2005). https://doi.org/10.1007/s10778-005-0121-5

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  • DOI: https://doi.org/10.1007/s10778-005-0121-5

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