Waves in Two and Three Dimensions

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

Abstract

This chapter deals with the generalization of the wave equation to describe wave propagation on two-dimensional surfaces and sound waves in a three-dimensional space. Again linearity is postulated, which is only justified if amplitudes are sufficiently small. It will be shown how wave equations can be derived for rectangular and circular membranes , plates and disks and how analytic results can be obtained for a three-dimensional case with relatively simple boundary conditions. This chapter will also review techniques for the calculation of resonance frequencies and for the prediction of associated modal shapes.

FEM

finite element method

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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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