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Experimental determination of the natural frequencies of complex-shaped shells

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The natural frequencies of a complex-shaped thin elastic shell under loading of two types that cause nonstationary vibrations are experimentally determined. The strains in the shell are recorded with piezoelectric strain gages, followed by the Fourier analysis of the oscillograms

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References

  1. D. V. Babich, ”Natural vibrations of a conical orthotropic shell with small curvatures of the generatrix,” Int. Appl. Mech., 35, No. 3, 276–280 (1999).

    Article  MathSciNet  ADS  Google Scholar 

  2. V. A. Zarutskii and V. F. Sivak, ”Experimental investigation of the dynamics of shells of revolution (review),” Int. Appl. Mech., 35, No. 3, 217–224 (1999).

    Article  ADS  Google Scholar 

  3. V. A. Krys’ko and T. V. Shchekaturova, ”Chaotic vibrations of conical shells,” Izv. RAN, Mekh. Tverd. Tela, No. 5, 153–163 (2004).

  4. V. D. Kubenko and P. S. Koval’chuk, “Influence of initial geometric imperfections on the vibrations and dynamic stability of elastic shells,” Int. Appl. Mech., 40, No. 8, 847–877 (2004).

    Article  MathSciNet  Google Scholar 

  5. V. F. Meish and L. A. Latanskaya, ”Forced vibrations of conical sandwich shells under nonstationary loading,” Teor. Prikl. Mekh., 40, 90–95 (2005).

    Google Scholar 

  6. N. V. Naumova, ”Vibrations and stability of a curved circular conical shell,” Vestn. Molod. Uchen., No. 12, 19–23 (2002).

  7. Ya. G. Panovko, An Introduction to the Theory of Mechanical Vibrations [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  8. V. F. Sivak, ”Experimental investigation of the effect of ribs on the natural vibration frequencies of truncated conical shells,” Int. Appl. Mech., 15, No. 7, 595–598 (1979).

    ADS  Google Scholar 

  9. V. F. Sivak, ”Experimental determination of the dynamic characteristics of a system of conical shells with added masses,” Int. Appl. Mech., 43, No. 9, 1024–1027 (2007).

    Article  ADS  Google Scholar 

  10. N. A. Spiridonova, ”Equations describing the free vibrations of a conical shell with arbitrary cross-section,” in: Proc. 21th Int. Conf., Saratov, May 27–30 (2008), pp. 195–196.

  11. I. I. Anik’ev, M. I. Mikhailova, and E. A. Sushchenko, ”Deformation of an elastic plate with an edge notch under the action of a plane shock wave,” Int. Appl. Mech., 45, No. 11, 1243–1247 (2009).

    Article  ADS  Google Scholar 

  12. Blasco Daniel Escolar and Docal Rafael Bureo, ”Force-based acceleration spectra for vibration testing of space hardware,” in: Proc. Europ. Conf. on Spacecraft Structures, Materials and Mechanical Testing, ESTEC, Nordwijk (2005), pp. 826–837.

  13. V. D. Kubenko and P. S. Koval’chuk, ”Experimental studies of the vibrations and dynamic stability of laminated composite shells,” Int. Appl. Mech., 45, No. 5, 514–533 (2009).

    Article  Google Scholar 

  14. V. A. Zarutskii, P. Z. Lugovoi, and V. F. Meish, ”Dynamic problems for and stress–strain state of inhomogeneous shell structures under stationary and nonstationary loads,” Int. Appl. Mech., 45, No. 3, 245–271 (2009).

    Article  ADS  Google Scholar 

  15. V. A. Zarutskii and V. F. Sivak, ”Experimental analysis of the natural vibrations and stability of cylindrical shells reinforced with rectangular plates,” Int. Appl. Mech., 44, No. 5, 562–564 (2008).

    Article  ADS  Google Scholar 

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Correspondence to I. I. Anik’ev.

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Translated from Prikladnaya Mekhanika, Vol. 47, No. 5, pp. 90–96, September 2011.

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Anik’ev, I.I., Mikhailova, M.I. & Sushchenko, E.A. Experimental determination of the natural frequencies of complex-shaped shells. Int Appl Mech 47, 554–559 (2011). https://doi.org/10.1007/s10778-011-0477-7

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  • DOI: https://doi.org/10.1007/s10778-011-0477-7

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