Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Kaplunov J. D., Prikazchikova L. A. Low-Frequency Vibration Modes of Strongly Inhomogeneous Elastic Laminates. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2018, vol. 18, iss. 4, pp. 447-457. DOI: 10.18500/1816-9791-2018-18-4-447-457, EDN: VQLCNR

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
30.11.2018
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Language: 
English
Heading: 
Mechanics
Article type: 
Article
UDC: 
539.3
DOI: 
10.18500/1816-9791-2018-18-4-447-457
EDN: 
VQLCNR

Low-Frequency Vibration Modes of Strongly Inhomogeneous Elastic Laminates

Autors: 
Kaplunov Julius Davidovich, Keele University
Prikazchikova Ludmila A., Keele University
Abstract: 

The dynamic behaviour of thin multi-layered structures, composed of contrasting “strong” and “weak” layers, is considered. An asymptotic procedure for analysing the lowest cutoffs is developed. A polynomial frequency equation is derived, along with the linear equations for the associated eigenforms corresponding to displacement variation across the thickness. For a five-layered laminate with clamped faces two term expansions for eigenfrequencies and eigenforms are compared with those obtained from the exact solution of the original problem for thickness resonances.

Key words: 
asymptotic
high-contrast
thin elastic structure
thickness fluctuations
low frequency
cutoff
References: 
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Received: 
16.07.2018
Accepted: 
11.11.2018
Published: 
07.12.2018
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