Graduate Thesis Or Dissertation

 

The violin's sound : a mathematical exploration employing principles of continuum mechanics and numerical methods Público Deposited

Conteúdo disponível para baixar

Baixar PDF
https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/vd66w2443

Descriptions

Attribute NameValues
Creator
Abstract
  • This thesis explores the vibrational behavior of the main components of sound production in the violin using a continuum mechanics approach. The author provides a mathematical description of the regions in the vibrating continuum, and begins to develop a system of equations governing their behavior, focusing on the air in the resonant chamber. Later chapters, contain discussion of issues involved in solving the system of equations, and examples involving both formal and numerical methods. The existence of a unique formal solution would allow mathematicians to make predictive models for sound waves of instruments based on physical characteristics such as size, shape, density and elasticity. This thesis explores the vibrational behavior of the main components of sound production in the violin using a continuum mechanics approach. The author provides a mathematical description of the regions in the vibrating continuum, and begins to develop a system of equations governing their behavior, focusing on the air in the resonant chamber. Later chapters, contain discussion of issues involved in solving the system of equations, and examples involving both formal and numerical methods. The existence of a unique formal solution would allow mathematicians to make predictive models for sound waves of instruments based on physical characteristics such as size, shape, density and elasticity. This thesis explores the vibrational behavior of the main components of sound production in the violin using a continuum mechanics approach. The author provides a mathematical description of the regions in the vibrating continuum, and begins to develop a system of equations governing their behavior, focusing on the air in the resonant chamber. Later chapters, contain discussion of issues involved in solving the system of equations, and examples involving both formal and numerical methods. The existence of a unique formal solution would allow mathematicians to make predictive models for sound waves of instruments based on physical characteristics such as size, shape, density and elasticity.
License
Resource Type
Date Available
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Academic Affiliation
Non-Academic Affiliation
Subject
Declaração de direitos
Publisher
Peer Reviewed
Language
Digitization Specifications
  • File scanned at 300 ppi (Monochrome, 24-bit Color) using ScandAll PRO 1.8.1 on a Fi-6770A in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces
Additional Information
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2012-06-27T16:46:53Z (GMT) No. of bitstreams: 1 GydeNina2004.pdf: 2905356 bytes, checksum: 7ae1d5048699888c4a34687c7b46fbe1 (MD5)
  • description.provenance : Made available in DSpace on 2012-06-27T16:46:53Z (GMT). No. of bitstreams: 1 GydeNina2004.pdf: 2905356 bytes, checksum: 7ae1d5048699888c4a34687c7b46fbe1 (MD5) Previous issue date: 2003-06-03
  • description.provenance : Submitted by Sergio Trujillo (jstscanner@gmail.com) on 2012-06-19T22:53:01Z No. of bitstreams: 1 GydeNina2004.pdf: 2905356 bytes, checksum: 7ae1d5048699888c4a34687c7b46fbe1 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2012-06-21T19:32:11Z (GMT) No. of bitstreams: 1 GydeNina2004.pdf: 2905356 bytes, checksum: 7ae1d5048699888c4a34687c7b46fbe1 (MD5)

Relações

Parents:

This work has no parents.

Em Collection:

Itens