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Natural vibrations of composite materials having structures with small-scale curvatures

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We have used the continuum theory in [1] to develop an approach to determination of the natural frequency and mode of composite structural elements with locally and regularly curved structures. We used the approach to examine the solution of a specific problem concerning natural vibration. It was shown that the fundamental frequency of the structural elements may be reduced considerably by the presence of curvature in the structure of the composite.

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Literature cited

  1. S. D. Akbarov and A. N. Guz', "Continuum theory in the mechanics of composite materials with small-scale structural curvatures," Prikl. Mekh.,37, No. 2, 3–13 (1991).

    Google Scholar 

  2. S. D. Akbarov and G. M. Kuliev, "Quasi-uniform stress state in composites with small periodic curvatures in their structure," Submitted to VINITI, No. 511–B91 (1991).

  3. A. N. Guz', "Continuum theory of composites with small structural curvatures," Dokl. Akad. Nauk SSSR,268, No. 2, 307–313 (1983).

    Google Scholar 

  4. A. N. Guz', "Theory of vibration of composites with small structural curvatures," ibid.,270, No. 5, 1078–1081 (1983).

    Google Scholar 

  5. A. N. Guz', "Mechanics of composites with small structural curvatures," Prikl. Mekh.,19, No. 5, 3–15 (1983).

    Google Scholar 

  6. A. N. Guz', "Quasi-uniform states in composites with small structural curvatures,"19, No. 6, 3–14 (1983).

  7. A. K. Malmeister, V. P. Tamuzh, and G. A. Teters, Strength of Polymers and Composites [in Russian], Zinatne, Riga (1980).

    Google Scholar 

  8. L. P. Khoroshun and B. P. Maslov, Automated Methods of Calculating the Physicomechanical constants of composites [in Russian], Naukova Dumka, Kiev (1980).

    Google Scholar 

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Institute of Mathematics and Mechanics, Azerbaidzhan Academy of Sciences, Baku. Institute of Mechanics of the Ukrainian Academy of Sciences, Kiev. Translated from Prikladnaya Mekhanika, Vol. 28, No. 12, pp. 24–30, December, 1992.

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Akbarov, S.D., Guz', A.N. & Zamanov, A.D. Natural vibrations of composite materials having structures with small-scale curvatures. Int Appl Mech 28, 794–800 (1992). https://doi.org/10.1007/BF00847315

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  • DOI: https://doi.org/10.1007/BF00847315

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