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Shell with Auxetic Properties in the Model Taking into Account the Transverse Shear

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Advanced Materials

Part of the book series: Springer Proceedings in Materials ((SPM,volume 6))

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Abstract

The Tymoshenko type model of constructively anisotropic shell with auxetic properties is considered. Forced oscillations in the frequency range including the first resonances are analyzed. The internal scattering of vibrational energy is taken into account. The influence of the transverse shear on the amplitude-frequency characteristics (AFCs) of the input malleability is investigated. It is compared with the frequency response obtained from the equations of the theory of Kirchhoff-Love.

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References

  1. D.A. Konjok, K.W. Wojciechowski, Y.M. Pleskachevsky, S.V. Shilko, Mechanics of Composite Materials and Structures (Moscow), vol. 10, no. 1 (2004), pp. 35–69

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  2. A.S. Yudin, S.A. Yudin. in Proceedings of the 2015 International Conference on Physics and Mechanics of New Materials and Their Applications, devoted to 100th Anniversary of the Southern Federal University, ed. by I.A. Parinov, S.-H. Chang, V.Y. Topolov (Nova Science Publishers, New York, 2016), pp. 447–452

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  3. A.S. Yudin, Stability and Oscillations of Structurally Anisotropic and Articulated Shells of Rotation (Southern Federal University Press, Rostov-on-Don, 2011), 362 p. (In Russian)

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Acknowledgements

Research was financially supported by Southern Federal University, 2020 (Ministry of Science and Higher Education of the Russian Federation).

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Authors and Affiliations

  1. I. I. Vorovich Institute of Mathematics, Mechanics and Computer Sciences, Southern Federal University, Rostov-on-Don, Russia

    Anatoly S. Yudin

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  1. Anatoly S. Yudin
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Correspondence to Anatoly S. Yudin .

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Editors and Affiliations

  1. I. I. Vorovich Mathematics, Mechanics and Computer Sciences Institute, Southern Federal University, Rostov-on-Don, Russia

    Ivan A. Parinov

  2. Department of Microelectronics Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan

    Shun-Hsyung Chang

  3. School of Mechanical Engineering, Hanoi University of Science and Technology, Hanoi, Vietnam

    Banh Tien Long

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Yudin, A.S. (2020). Shell with Auxetic Properties in the Model Taking into Account the Transverse Shear. In: Parinov, I., Chang, SH., Long, B. (eds) Advanced Materials. Springer Proceedings in Materials, vol 6. Springer, Cham. https://doi.org/10.1007/978-3-030-45120-2_34

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