Nonlinear Waves in a Rod

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Conference object , Article 01 Jan 2005Publisher:Springer Berlin Heidelberg

Authors: Alexander Shermenev;

doi: 10.1007/11555964_32

Nonlinear Waves in a Rod

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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.

Related Organizations

Russian Academy of Sciences
Russian Federation

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