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, 2011, Volume 11, Issue 2, Pages 83–96
DOI: https://doi.org/10.18500/1816-9791-2011-11-2-83-96 (Mi isu222) 		 
Mechanics

Mode-series expansion of solutions of elasticity problems for a strip

L. Yu. Kossovicha, V. A. Yurkob, I. V. Kirillovac

a Saratov State University, Chair of Mathematical Theory of Elasticity and Biomechanics
b Saratov State University, Chair of Mathematical Physics and Numerical Analysis
c Educational-Research Institute of Nanostructures and Biosystems
Full-text PDF (258 kB)
References:
PDF
HTML
DOI: https://doi.org/10.18500/1816-9791-2011-11-2-83-96
Abstract: Oscillations of a strip are considered as a plane problem of elasticity theory. Description of oscillation modes is provided. Properties of eigenvalues and eigenfunctions are studied for a boundary value problem for their amplitudes. Green's function is constructed as a kernel of the inverse operator. Completeness and expansion theorems are proved which allow one to solve problems for finite and infinite membranes under arbitrary boundary conditions.
Key words: elasticity theory, wave propagation, oscillation modes, eigenvalues, eigenfunctions.
Document Type: Article
UDC: 539.3
Language: Russian
Citation: L. Yu. Kossovich, V. A. Yurko, I. V. Kirillova, “Mode-series expansion of solutions of elasticity problems for a strip”, Izv. Saratov Univ. Math. Mech. Inform., 11:2 (2011), 83–96
Citation in format AMSBIB
\Bibitem{KosYurKir11}
\by L.~Yu.~Kossovich, V.~A.~Yurko, I.~V.~Kirillova
\paper Mode-series expansion of solutions of elasticity problems for a~strip
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2011
\vol 11
\issue 2
\pages 83--96
\mathnet{http://mi.mathnet.ru/isu222}
\crossref{https://doi.org/10.18500/1816-9791-2011-11-2-83-96}
Linking options:
  • https://www.mathnet.ru/eng/isu222
  • https://www.mathnet.ru/eng/isu/v11/i2/p83
    • 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:390
    Full-text PDF :123
    References:49
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024