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This article is cited in 2 scientific papers (total in 2 papers)
Scientific Part
Mechanics
Low-frequency vibration modes of strongly
inhomogeneous elastic laminates
J. D. Kaplunov, L. A. Prikazchikova School of Computing and Mathematics, Keele
University, Keele, Staffordshire, ST5 5BG, UK
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.
Citation:
J. D. Kaplunov, L. A. Prikazchikova, “Low-frequency vibration modes of strongly
inhomogeneous elastic laminates”, Izv. Saratov Univ. Math. Mech. Inform., 18:4 (2018), 447–457
Linking options:
https://www.mathnet.ru/eng/isu779 https://www.mathnet.ru/eng/isu/v18/i4/p447
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Abstract page: | 223 | Full-text PDF : | 96 | References: | 36 |
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