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On the Wave Propagating Along the Plate-like Waveguide

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Advanced Materials

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 224))

Abstract

Wave processes in an elastic plate-like waveguide were studied. The functional was obtained on the base of the Hamilton–Ostrogradsky variational principle. The theory of plates with variable stiffness was applied. The approximate Ritz method was used. Results were obtained for two materials. One material is isotropic, and the second material is orthotropic. A comparison of the wave number values for a wave of a plate waveguide propagating along the edge and a Konenkov’s wave was carried out in the isotropic case.

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References

  1. Yu.K. Konenkov. Acoust. J. 6(1), 124 (1960) (In Russian)

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  4. A.O. Vatulyan, L.I. Parinova, News of Higher Educational Institutions. North-Caucasus Region 3, 10 (2018) (In Russian)

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Acknowledgements

The author is very grateful to Prof. A. O. Vatulyan for constant attention to this research.

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Authors and Affiliations

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

    Lyubov I. Parinova

Authors
  1. Lyubov I. Parinova
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Correspondence to Lyubov I. Parinova .

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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. Mechanical Engineering Department, Korea Maritime and Ocean University, Busan, Korea (Republic of)

    Yun-Hae Kim

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Parinova, L.I. (2019). On the Wave Propagating Along the Plate-like Waveguide. In: Parinov, I., Chang, SH., Kim, YH. (eds) Advanced Materials. Springer Proceedings in Physics, vol 224. Springer, Cham. https://doi.org/10.1007/978-3-030-19894-7_37

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