Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. Saratov Univ. Math. Mech. Inform.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2018, Volume 18, Issue 4, Pages 447–457
DOI: https://doi.org/10.18500/1816-9791-2018-18-4-447-457
(Mi isu779)
 

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
Full-text PDF (775 kB) Citations (2)
References:
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.
Funding agency Grant number
Slovenian Research Agency J2-9224
Ministerstvo Školstva, Vedy, Výskumu a Športu Slovenskej Republiky OP20.00362 EVA4GREEN
Keele University
This work was supported by the grant J2-9224 from the Slovenian Research Agency and also by Program OP20.00362 EVA4GREEN. L. A. Prikazchikova acknowledges support by the Faculty Award by Keele University, UK.
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: English
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
Citation in format AMSBIB
\Bibitem{KapPri18}
\by J.~D.~Kaplunov, L.~A.~Prikazchikova
\paper Low-frequency vibration modes of strongly
inhomogeneous elastic laminates
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2018
\vol 18
\issue 4
\pages 447--457
\mathnet{http://mi.mathnet.ru/isu779}
\crossref{https://doi.org/10.18500/1816-9791-2018-18-4-447-457}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000454331500008}
\elib{https://elibrary.ru/item.asp?id=36716508}
Linking options:
  • https://www.mathnet.ru/eng/isu779
  • https://www.mathnet.ru/eng/isu/v18/i4/p447
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
    Statistics & downloads:
    Abstract page:223
    Full-text PDF :96
    References:36
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024