Perturbation treatment for the vibrations of a circular membrane subject to a restorative force
Joint Authors
al-Burai, M. M.
Doma, S. B.
al-Sirafi, I. H.
al-Sharif, A. H.
Source
Alexandria Journal of Mathematics
Issue
Vol. 1, Issue 1 (30 Jun. 2010), pp.40-55, 16 p.
Publisher
Amgad Society for Developing the Community and Protecting the Environment
Publication Date
2010-06-30
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Engineering & Technology Sciences (Multidisciplinary)
Abstract EN
We have investigated the motion of a stretched elastic circular membrane which is subjected to a restorative force proportional to the velocity.
The wave equation which describes the vibrations in this case is written in polar form.
The perturbation method is applied together with the usual method of separation of variables.
The oscillations are then given at any instant of time t and point on the membrane depending on the given boundary and initial conditions.
The roles of the restorative force and the initial displacement are discussed.
The numerical solutions are then given by using the program Mathematica
American Psychological Association (APA)
Doma, S. B.& al-Sirafi, I. H.& al-Burai, M. M.& al-Sharif, A. H.. 2010. Perturbation treatment for the vibrations of a circular membrane subject to a restorative force. Alexandria Journal of Mathematics،Vol. 1, no. 1, pp.40-55.
https://search.emarefa.net/detail/BIM-760822
Modern Language Association (MLA)
Doma, S. B.…[et al.]. Perturbation treatment for the vibrations of a circular membrane subject to a restorative force. Alexandria Journal of Mathematics Vol. 1, no. 1 (Jun. 2010), pp.40-55.
https://search.emarefa.net/detail/BIM-760822
American Medical Association (AMA)
Doma, S. B.& al-Sirafi, I. H.& al-Burai, M. M.& al-Sharif, A. H.. Perturbation treatment for the vibrations of a circular membrane subject to a restorative force. Alexandria Journal of Mathematics. 2010. Vol. 1, no. 1, pp.40-55.
https://search.emarefa.net/detail/BIM-760822
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 52
Record ID
BIM-760822