Nonlinear Waves in a Rod

机译：杆中的非线性波

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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.

机译：应用计算机代数系统，利用二阶近似研究杆中的弹性扭转非线性波。结果表明，对经典线性解的非线性校正是固定纵向波，渐进纵向波和渐进横向波的组合。描述平稳纵向波的解是圆柱函数的二次多项式。渐进纵向波和渐进横向波的表达式不可避免地包含圆柱函数多项式的正交。

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来源
《International Workshop on Computer Algebra in Scientific Computing(CASC 2005); 20050912-16; Kalamata(GR)》|2005年|P.379-386|共8页
会议地点 Kalamata(GR)
作者
Alexander Shermenev;
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作者单位

Wave Research Center, Russian Academy of Sciences, Moscow, 117942;

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会议组织
原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;代数、数论、组合理论;
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Nonlinear Waves in a Rod

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