Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2006, Volume 332, Pages 286–298 (Mi znsl274)  
This article is cited in 5 scientific papers (total in 5 papers)

Asymptotic expansion of boundary-layer type for flexural waves along the curved edge of a Kirchhoff–Love plate

K. D. Cherednichenkoab

a Saint-Petersburg State University
b University of Cambridge
Full-text PDF (212 kB) Citations (5)
References:
PDF
HTML
Abstract: A high-frequency asymptotic expansion of boundary-layer type is constructed for flexural waves localised in the vicinity of the free edge of a Kirchhoff–Love elastic plate. Unlike in the previous works on the subject, the boundary of the plate does not have to be rectilinear. Expressions for the leading-order terms of the expansion are obtained, which are then implemented in the problem of the description of eigenmodes of an arbitrary bounded plate with smooth boundary.
Received: 01.06.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 142, Issue 6, Pages 2682–2688
DOI: https://doi.org/10.1007/s10958-007-0155-9
Bibliographic databases:
UDC: 517.9, 534.2, 539.3
Language: Russian
Citation: K. D. Cherednichenko, “Asymptotic expansion of boundary-layer type for flexural waves along the curved edge of a Kirchhoff–Love plate”, Mathematical problems in the theory of wave propagation. Part 35, Zap. Nauchn. Sem. POMI, 332, POMI, St. Petersburg, 2006, 286–298; J. Math. Sci. (N. Y.), 142:6 (2007), 2682–2688
Citation in format AMSBIB
\Bibitem{Che06}
\by K.~D.~Cherednichenko
\paper Asymptotic expansion of boundary-layer type for flexural waves along the curved edge of a~Kirchhoff--Love plate
\inbook Mathematical problems in the theory of wave propagation. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 332
\pages 286--298
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl274}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2252999}
\zmath{https://zbmath.org/?q=an:1116.74030}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 142
\issue 6
\pages 2682--2688
\crossref{https://doi.org/10.1007/s10958-007-0155-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247190696}
Linking options:
  • https://www.mathnet.ru/eng/znsl274
  • https://www.mathnet.ru/eng/znsl/v332/p286
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:230
    Full-text PDF :87
    References:31
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024