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

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. / Graduation date: 2004

Identiferoai:union.ndltd.org:ORGSU/oai:ir.library.oregonstate.edu:1957/30219
Date03 June 2003
CreatorsGyde, Nina J.
ContributorsGuenther, Ronald B.
Source SetsOregon State University
Languageen_US
Detected LanguageEnglish
TypeThesis/Dissertation

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