About: Oscillation of cusped Euler-Bernoulli beams and Kirchhoff-Love plates

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	V článku jsou studovány matematické programy Eulerových-Bernoulliho nosníků a Kirchhoffových-Loveových desek s hranami a hroty. Změny v řezech nosníků a v tloušce desky mají obecně složitější charakter než ve formě mocnin. Byly formulovány kritéria přípustnosti klasických okrajových podmínek na ostrých hrotech nosníků a hranách desky. Byly nalezeny postačující podmínky pro řešitelnost frekvence vibrací. Byly sestrojeny odpovídající váhové Sobolevovy prostory. Pomocí Laxovy-Milgramovy věty byla dokázana stabilita příslušných okrajových úloh. (cs) In this paper, mathematical problems of cusped Euler-Bernoulli beams and Kirchhoff-Love plates are considered. Changes in the beam cross-section area and the plate thickness are, in general, of non-power type. The criteria of admissibility of the classical bending boundary conditions [clamped end (edge), sliding clamped end (edge), and supported end (edge)] at the cusped end of the beam and on the cusped edge of the plate have been established. The cusped end of the beam and the cusped edge of the plate can always be free independent of the character of the sharpening. A sufficient conditions for the solvability of the vibration frequency have been established. The appropriate weighted Sobolev spaces have been constructed. The well-posedness of the admissible problems has been proved by means of the Lax-Milgram theorem. In this paper, mathematical problems of cusped Euler-Bernoulli beams and Kirchhoff-Love plates are considered. Changes in the beam cross-section area and the plate thickness are, in general, of non-power type. The criteria of admissibility of the classical bending boundary conditions [clamped end (edge), sliding clamped end (edge), and supported end (edge)] at the cusped end of the beam and on the cusped edge of the plate have been established. The cusped end of the beam and the cusped edge of the plate can always be free independent of the character of the sharpening. A sufficient conditions for the solvability of the vibration frequency have been established. The appropriate weighted Sobolev spaces have been constructed. The well-posedness of the admissible problems has been proved by means of the Lax-Milgram theorem. (en)
Title	Oscillation of cusped Euler-Bernoulli beams and Kirchhoff-Love plates Kmity Eulerových-Bernoulliových nosníků a Kirchhoffových-Loveových desek (cs) Oscillation of cusped Euler-Bernoulli beams and Kirchhoff-Love plates (en)
skos:prefLabel	Oscillation of cusped Euler-Bernoulli beams and Kirchhoff-Love plates Kmity Eulerových-Bernoulliových nosníků a Kirchhoffových-Loveových desek (cs) Oscillation of cusped Euler-Bernoulli beams and Kirchhoff-Love plates (en)
skos:notation	RIV/49777513:23520/06:00000035!RIV07-GA0-23520___
http://linked.open.../vavai/riv/strany	7
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA201/00/0376)
http://linked.open...iv/cisloPeriodika	0
http://linked.open...vai/riv/dodaniDat	2007
http://linked.open...aciTvurceVysledku	Kufner, Alois
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Západočeská univerzita v Plzni / Fakulta aplikovaných věd
http://linked.open...dnocenehoVysledku	491079
http://linked.open...ai/riv/idVysledku	RIV/49777513:23520/06:00000035
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Cusped elastic plates; Cusped elastic beams; Vibration; Degenerate elliptic equations; Weighted spaces; Hardy's inequality (en)
http://linked.open.../riv/klicoveSlovo	Hardy's inequality Vibration Cusped elastic beams Cusped elastic plates Degenerate elliptic equations Weighted spaces
http://linked.open...odStatuVydavatele	TR - Turecká republika
http://linked.open...ontrolniKodProRIV	[1D795CC3A7EF]
http://linked.open...i/riv/nazevZdroje	Hacettepe Journal of Mathematics and Statistics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Non-linear boundary value problems-existence and multiplicity results bifurcations
http://linked.open...UplatneniVysledku	2006
http://linked.open...iv/tvurceVysledku	Kufner, Alois Jaiani, George V.
issn	1303-5010
number of pages	47 (xsd:int)
http://localhost/t...ganizacniJednotka	23520

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