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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Yu.K. Konenkov. Acoust. J. 6(1), 124 (1960) (In Russian)
A.O. Vatulyan, L.I. Parinova. Vestnik DGTU 5(4), 491 (2005) (In Russian)
A.O. Vatulyan, L.I. Parinova, in Advanced Materials—Techniques, Physics, Mechanics and Applications, Springer Proceedings in Physics, ed. by I.A. Parinov, S.-H. Chang, M.A. Jani, vol. 193, (Springer Cham, Heidelberg, New York, Dordrecht, London, 2017), p. 309
A.O. Vatulyan, L.I. Parinova, News of Higher Educational Institutions. North-Caucasus Region 3, 10 (2018) (In Russian)
V.S. Blistanov, V.S. Bondarenko, N.V. Peremolova et al., in Acoustic Crystals: Handbook, ed. by M.P. Shaskol’skaya (Moscow, Nauka, 1982), 632 p (In Russian)
Acknowledgements
The author is very grateful to Prof. A. O. Vatulyan for constant attention to this research.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-030-19894-7_37
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-19893-0
Online ISBN: 978-3-030-19894-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)