Skip navigation
Skip navigation

Temporal evolution of a circular membrane subject to various boundary conditions

Castelano, LK; Barbosa, Marconi; Redondo, D M

Description

In this paper we illustrate a standard problem of mathematical physics, by exploring the potential of using a computer algebra system in a classroom experiment. Although many textbooks describe the problem and solve its particular examples to variable extent, to the student is always left the task of imagining, after a few tedious calculations, the temporal evolution of the system. The aim of this paper is, using algebraic computation, to give a complete route to the problem of an...[Show more]

dc.contributor.authorCastelano, LK
dc.contributor.authorBarbosa, Marconi
dc.contributor.authorRedondo, D M
dc.date.accessioned2015-12-10T21:55:53Z
dc.identifier.issn0143-0807
dc.identifier.urihttp://hdl.handle.net/1885/39171
dc.description.abstractIn this paper we illustrate a standard problem of mathematical physics, by exploring the potential of using a computer algebra system in a classroom experiment. Although many textbooks describe the problem and solve its particular examples to variable extent, to the student is always left the task of imagining, after a few tedious calculations, the temporal evolution of the system. The aim of this paper is, using algebraic computation, to give a complete route to the problem of an asymmetrically perturbed circular membrane in viscous media with the usual boundary conditions, including the computer animation of the results.
dc.publisherInstitute of Physics Publishing
dc.sourceEuropean Journal of Physics
dc.subjectKeywords: Animation; Bessel functions; Boundary conditions; Computer graphics; Computer simulation; Differential equations; Eigenvalues and eigenfunctions; Poles and zeros; Wave equations; Circular membrane; Mathematical physics; Physics
dc.titleTemporal evolution of a circular membrane subject to various boundary conditions
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume26
dc.date.issued2005
local.identifier.absfor010207 - Theoretical and Applied Mechanics
local.identifier.absfor020301 - Acoustics and Acoustical Devices; Waves
local.identifier.ariespublicationu8611701xPUB172
local.type.statusPublished Version
local.contributor.affiliationCastelano, LK, Universidade de Sao Paulo
local.contributor.affiliationBarbosa, Marconi, College of Medicine, Biology and Environment, ANU
local.contributor.affiliationRedondo, D M, Universidade de Sao Paulo
local.description.embargo2037-12-31
local.bibliographicCitation.startpage107
local.bibliographicCitation.lastpage109
local.identifier.doi10.1088/0143-0807/26/1/012
local.identifier.absseo970108 - Expanding Knowledge in the Information and Computing Sciences
dc.date.updated2015-12-09T07:32:33Z
local.identifier.scopusID2-s2.0-12844253790
CollectionsANU Research Publications

Download

File Description SizeFormat Image
01_Castelano_Temporal_evolution_of_a_2005.pdf2.9 MBAdobe PDFThumbnail


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  17 November 2022/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator