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Friday 9 December 2016

Waves in wood: axisymmetric waves in slender solids of revolution

Published Date
October 2004, Vol.40(4):387398, doi:10.1016/j.wavemoti.2004.07.001
Waves in Anisotropic Elastic Solids

Author 

P.A. Martin ,

Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, CO 80401-1887, USA
Received 15 December 2003. Revised 13 January 2004. Accepted 19 January 2004. Available online 17 August 2004.

Abstract

Low-frequency axisymmetric waves in slender axisymmetric anisotropic columns are studied. The governing equation of motion is solved using power series with a stretched radial coordinate, leading to a variety of ordinary differential equations in the longitudinal direction. Detailed results for cylindrically orthotropic columns are given.

Keywords

  • Elastic waves
  • Frobenius method
  • Ordinary differential equations

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    http://www.sciencedirect.com/science/article/pii/S0165212504000824

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