On the precession of a standing wave in a string with fixed ends

被引：1

作者：

Sukhoruchkin, D. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Problems Mech, Moscow 119526, Russia

来源：

MECHANICS OF SOLIDS | 2007年 / 42卷 / 01期

关键词：

Standing Wave; Transverse Vibration; Longitudinal Displacement; Inertial Space; String Motion;

D O I：

10.3103/S0025654407010025

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Nonlinear differential equations of motion of a string are derived. In the single-mode approximation, the evolution of a transverse standing wave is studied. The dependence of the precession velocity and the correction to the vibration frequency on the semiaxes of the ellipse along which the string midpoint moves is determined.

引用

页码：12 / 18

页数：7

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