Nonlinear torsional waves in a rod

被引：0
|
作者：
M. A. Shermeneva
机构：
[1] Russian Academy of Sciences,Prokhorov General Physics Institute
来源：
Bulletin of the Lebedev Physics Institute | 2009年 / 36卷
关键词：
Bessel Function; Standing Wave; Helmholtz Equation; LEBEDEV Physic Institute; Quadratic Polynomial;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Elastic nonlinear torsional waves in a rod were studied in the second approximation. It was shown that the nonlinear correction to the classical linear solution is a combination of longitudinal standing, longitudinal traveling, and transverse traveling waves. The solution describing the longitudinal standing wave is a quadratic polynomial of Bessel functions. The description of longitudinal traveling and transverse traveling waves includes quadratures of Bessel function polynomials.
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页码：199 / 204
页数：5
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