Vibrations and Waves

  • Wilfried Kausel
Part of the Springer Handbooks book series (SPRINGERHAND)

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.

1-D

one-dimensional

2-D

two-dimensional

3-D

three-dimensional

RMS

root mean square

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Copyright information

© Springer-Verlag Berlin Heidelberg 2018

Authors and Affiliations

  • Wilfried Kausel
    • 1
  1. 1.Dept. of Musical AcousticsUniversity of Music and Performing Arts, ViennaViennaAustria

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