Multi-parametric dynamic analysis of lightweight elastic laminates

Prikazchikov; Kaplunov; Prikazchikova

doi:10.1088/1757-899X/683/1/012014

Multi-parametric dynamic analysis of lightweight elastic laminates

Prikazchikov; Kaplunov; Prikazchikova

Authors

Danila Prikazchikov d.prikazchikov@keele.ac.uk

Julius Kaplunov j.kaplunov@keele.ac.uk

Liudmila Prikazchikova l.prikazchikova@keele.ac.uk

Abstract

Multi-parametric asymptotic analysis of dynamic phenomena in lightweight three-layered structures is performed. The presence of high contrast in densities of skin and core layers may lead to the small value of the lowest shear thickness resonance frequency, allowing a two-mode long wave low-frequency approximation of the exact dispersion relation. The range of uniform asymptotic validity of the two-mode approximation with respect to relative thickness and density are established. The theoretical predictions are illustrated numerically.

Acceptance Date	Oct 24, 2019
Publication Date	Dec 13, 2019
Journal	IOP Conference Series: Materials Science and Engineering
Print ISSN	1757-8981
Publisher	IOP Publishing
DOI	https://doi.org/10.1088/1757-899X/683/1/012014
Publisher URL	https://doi.org/10.1088/1757-899X/683/1/012014