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Nonlinear Waves in a Rod

  • Alexander Shermenev
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3718)

Abstract

Computer algebra system is applied for studying the elastic torsional nonlinear waves in a rod using the second order approximation. It is shown that the nonlinear correction to the classic linear solution is a combination of a stationary longitudinal wave, a progressive longitudinal wave, and a progressive transverse wave. The solution describing a stationary longitudinal wave is a quadratic polynomial of cylindrical functions. The expressions for a progressive longitudinal wave and a progressive transverse wave inevitably include quadratures from polynomials of the cylindrical functions.

Keywords

Transverse Wave Longitudinal Wave Bessel Function Nonlinear Wave Helmholtz Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Alexander Shermenev
    • 1
  1. 1.Wave Research CenterRussian Academy of SciencesMoscow

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