Small vertical vibrations of strings with moving ends.

Tania Nunes Rabello; María Cristina Campos Vieira; Cicero Lopes Frota; Luis Adauto Medeiros

Revista Matemática Complutense (2003)

  • Volume: 16, Issue: 1, page 179-206
  • ISSN: 1139-1138

Abstract

top
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, p=p(x). It contains Kirchhoff model for fixed ends. We obtain solutions by Galerkin method and estimates in Sobolev spaces.

How to cite

top

Nunes Rabello, Tania, et al. "Small vertical vibrations of strings with moving ends.." Revista Matemática Complutense 16.1 (2003): 179-206. <http://eudml.org/doc/44349>.

@article{NunesRabello2003,
abstract = {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, p=p(x). It contains Kirchhoff model for fixed ends. We obtain solutions by Galerkin method and estimates in Sobolev spaces.},
author = {Nunes Rabello, Tania, Campos Vieira, María Cristina, Lopes Frota, Cicero, Adauto Medeiros, Luis},
journal = {Revista Matemática Complutense},
keywords = {Mecánica del sólido deformable; Vibraciones; Ecuaciones diferenciales hiperbólicas; Métodos de Galerkin; Espacios de Sobolev; existence; Galerkin method; Sobolev spaces},
language = {eng},
number = {1},
pages = {179-206},
title = {Small vertical vibrations of strings with moving ends.},
url = {http://eudml.org/doc/44349},
volume = {16},
year = {2003},
}

TY - JOUR
AU - Nunes Rabello, Tania
AU - Campos Vieira, María Cristina
AU - Lopes Frota, Cicero
AU - Adauto Medeiros, Luis
TI - Small vertical vibrations of strings with moving ends.
JO - Revista Matemática Complutense
PY - 2003
VL - 16
IS - 1
SP - 179
EP - 206
AB - 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, p=p(x). It contains Kirchhoff model for fixed ends. We obtain solutions by Galerkin method and estimates in Sobolev spaces.
LA - eng
KW - Mecánica del sólido deformable; Vibraciones; Ecuaciones diferenciales hiperbólicas; Métodos de Galerkin; Espacios de Sobolev; existence; Galerkin method; Sobolev spaces
UR - http://eudml.org/doc/44349
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.