Abstract
Lowest vibration modes of strongly inhomogeneous layered elastic structures are studied. A perturbation procedure is developed for evaluating the almost rigid body motions of stiffer components. The procedure is adapted for the antiplane motion of a two-layered cylindrical body of arbitrary cross section. The asymptotic formulae for lowest natural frequencies are derived. Illustrative examples are presented, including comparison with the exact solution of the eigenvalue problem for a two-layered circular cylinder.
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
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Kaplunov, J., Prikazchikov, D.A., Sergushova, O. (2017). Lowest Vibration Modes of Strongly Inhomogeneous Elastic Structures. In: Altenbach, H., Goldstein, R., Murashkin, E. (eds) Mechanics for Materials and Technologies. Advanced Structured Materials, vol 46. Springer, Cham. https://doi.org/10.1007/978-3-319-56050-2_14
Download citation
DOI: https://doi.org/10.1007/978-3-319-56050-2_14
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-56049-6
Online ISBN: 978-3-319-56050-2
eBook Packages: EngineeringEngineering (R0)