Small vertical vibrations of strings with moving ends

Autor:	Tania Nunes Rabello, Cícero Lopes Frota, Maria Cristina De Campos Vieira, L. A. Medeiros
Rok vydání:	2003
Předmět:	Vibration Sobolev space Work (thermodynamics) General Mathematics Mathematical analysis Geometry Galerkin method String (physics) Variable (mathematics) Mathematics
Zdroj:	Revista Matemática Complutense. 16
ISSN:	1988-2807 1139-1138
DOI:	10.5209/rev_rema.2003.v16.n1.16869
Popis:	In this work we investigate a mathematical model for small vertical vibrations of a stretched string when the ends vary with the time t and the cross sections of the string is variable and the density of the material is also variable, that is, r=r(x). It contains Kirchhoff model for fixed ends. We obtain solutions by Galerkin method and estimates in Sobolev spaces.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e818925ee31d4c0577ee286e06878798 https://doi.org/10.5209/rev_rema.2003.v16.n1.16869 Zobrazit plný text záznamu