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Zh. Vychisl. Mat. Mat. Fiz., 2008, Volume 48, Number 6, Pages 967–973 (Mi zvmmf4572)  

This article is cited in 4 scientific papers (total in 4 papers)

Observability of elastic vibrations of a beam

A. I. Egorov

Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

Abstract: The observability problem for beam vibrations described by a fourth-order partial differential equation with various boundary conditions is considered. Dynamic observability problems are solved in terms of boundary conditions and observations of the beam state at certain fixed instants of time.

Key words: vibration equation for an elastic beam, observability problem at fixed instants of time.

Full text: PDF file (661 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2008, 48:6, 912–917

Bibliographic databases:

UDC: 519.626
Received: 24.09.2007

Citation: A. I. Egorov, “Observability of elastic vibrations of a beam”, Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008), 967–973; Comput. Math. Math. Phys., 48:6 (2008), 912–917

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Znamenskaya L.N., “State observability of elastic string vibrations under the boundary conditions of the first kind”, Differ. Equ., 46:5 (2010), 748–752  crossref  mathscinet  zmath  isi  elib  scopus
    2. V. R. Barseghyan, “Optimal observation of controlled elastic vibrations of a beam in the presence of measurement errors”, Comput. Math. Math. Phys., 54:10 (2014), 1505–1512  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    3. Vest A., “Observation of Vibrating Systems At Different Time Instants”, Electron. J. Qual. Theory Differ., 2014, no. 14, 1–15  crossref  mathscinet  isi
    4. Szijarto A.L., Hegedus J., “Vibrating infinite string under general observation conditions and minimally smooth force”, Electron. J. Qual. Theory Differ., 2016, no. 113, 1–11  crossref  mathscinet  isi  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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