Abstract
Wave processes in topographic waveguides are studied. A wedge-shaped waveguide with a triple cross-section is considered. Hypotheses for variable stiffness plates are taken into account. Dispersion dependencies for two orthotropic materials for a model of the Timoshenko type using the variational Hamilton-Ostrogradsky principle and the Ritz approximate calculation method are constructed. The results are compared with those obtained in the study of the Kirchhoff model. A mathematical software Maple was used for computational experiments.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
E.A. Ash, R.M.D.L. Rue, R.F. Humphryes, IEEE Trans. Microw. Theory Tech. 17(11), 882 (1969)
P.E. Lagasse, I. M. Mason, E.A. Ash, IEEE Trans. Microwave Theory Tech. MTT-21, 225 (1973)
H.F. Tiersten, D. Rubin, in Proceedings of the IEEE Ultrasonics Symposium, 117 (1974)
G.L. Zavorohin, A.I. Nazarov, Notes Sci. LOMI 380, 45 (2010). (in Russian)
I.V. Kamockij, Algebra Anal. 20(1), 86 (2008) (in Russian)
V.M. Babich, Algebra Anal. 22(1), 98 (2010) (in Russian)
A.O. Vatulyan, L.I. Parinova, Vestn. DGTU 5(4), 491 (2005) (in Russian)
A.O. Vatulyan, L.I. Parinova, in Advanced Materials—Techniques, Physics, Mechanics and Applications, ed. by I.A. Parinov, S.-H. Chang, M.A. Jani, Springer Proceedings in Physics, vol. 193 (Springer Cham, Heidelberg, 2017), 309
A.O. Vatulyan, L.I. Parinova, Univ News North-Caucasus Reg Nat Sci 3, 10 (2018). (in Russian)
L.I. Parinova, in Advanced Materials Proceedings of the International Conference on “Physics and Mechanics of New Materials and Their Applications”, PHENMA 2018, ed. by I.A. Parinov, S.-H. Chang, Y.-H. Kim, Springer Proceeding in Physics vol. 224 (2019), 487
R.D. Nedin, A.O. Vatulyan, I.V. Bogachev, Math. Methods Appl. Sci. 41(4), 1600 (2018)
V.S. Blistanov, V.S. Bondarenko, N.V. Peremolova et al., in: Acoustic Crystals, ed. by M.P. Shaskol’skaya (Nauka, Moscow, 1982), 632 p. (in Russian)
Acknowledgements
The performed study was funded by RFBR, project No. 19-31-90079.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Vatulyan, A., Parinova, L. (2020). On the Use of Models of the Tymoshenko Type in the Analysis of Wave Processes in Wedge-Shaped Waveguides. 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_31
Download citation
DOI: https://doi.org/10.1007/978-3-030-45120-2_31
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-45119-6
Online ISBN: 978-3-030-45120-2
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)