Kaplunov
A composite hyperbolic equation for plate extension
Kaplunov
Authors
Abstract
A fourth-order inhomogeneous hyperbolic equation modeling the symmetric motion of a thin elastic plate subject to shear stresses prescribed along its faces is derived. The shortened forms of this equation govern the quasi-front, i.e. dispersive wave-front of longitudinal waves and the Rayleigh wave front at long-wave, low-frequency and short-wave, high-frequency limits, respectively. Comparison with exact plane strain solutions for both free and forced vibrations demonstrates that the derived equation is also applicable over the intermediate region where a typical wave length is of order the plate thickness.
| Acceptance Date | Jun 29, 2019 |
|---|---|
| Publication Date | Jun 29, 2019 |
| Journal | Mechanics Research Communications |
| Print ISSN | 0093-6413 |
| Publisher | Elsevier |
| Pages | 64-67 |
| DOI | https://doi.org/10.1016/j.mechrescom.2019.06.008 |
| Keywords | elasticity, composite equation, asymptotic, plate extension, Rayleigh wave, quasi-front |
| Publisher URL | https://doi.org/10.1016/j.mechrescom.2019.06.008 |
Files
1-s2.0-S0093641319300436-main.pdf
(481 Kb)
PDF
Publisher Licence URL
https://creativecommons.org/licenses/by-nc-nd/4.0/
You might also like
Asymptotic corrections to the low-frequency theory for a cylindrical elastic shell
(2023)
Journal Article
On a Hyperbolic Equation for the Rayleigh Wave
(2023)
Journal Article
Some aspects of wave propagation in a fluid-loaded membrane
(2022)
Book Chapter