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Vibrations and Waves

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Springer Handbook of Systematic Musicology

Part of the book series: Springer Handbooks ((SHB))

Abstract

This chapter deals with vibration and wave propagation under the general assumption that amplitudes are sufficiently small in order to neglect nonlinear effects when vibrations or waves are superimposed. It will be shown how wave equations can be derived for strings, bars and air columns and how analytic results can be obtained for some boundary conditions. This chapter will also review techniques for the calculation of resonance frequencies. Finally an introduction into the analysis of real musical instruments in the frequency domain will be given.

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Abbreviations

1-D:

one-dimensional

2-D:

two-dimensional

3-D:

three-dimensional

RMS:

root mean square

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Author information

Authors and Affiliations

  1. Dept. of Musical Acoustics, University of Music and Performing Arts, Vienna, Anton-von-Webern-Platz 1, 1030, Vienna, Austria

    Wilfried Kausel

Authors
  1. Wilfried Kausel
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Editor information

Editors and Affiliations

  1. Institute of Systematic Musicology, University of Hamburg, Neue Rabenstr. 13, 20354, Hamburg, Germany

    Rolf Bader

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Kausel, W. (2018). Vibrations and Waves. In: Bader, R. (eds) Springer Handbook of Systematic Musicology. Springer Handbooks. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55004-5_2

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  • DOI: https://doi.org/10.1007/978-3-662-55004-5_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-55002-1

  • Online ISBN: 978-3-662-55004-5

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