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Nonlinear modulation of torsional waves in elastic rod. [Instability]

Journal Article:

Abstract

Nonlinear Schroedinger equation, which describes the nonlinear modulation of dispersive torsional waves in an elastic rod of circular cross-section, is derived by the derivative expansion method. It is found, for the lowest dispersive mode, that the modulational instability occurs except in the range of the carrier wavenumber, 2.799
Authors:
Hirao, M; Sugimoto, N [1] 
  1. Osaka Univ., Toyonaka (Japan). Faculty of Engineering Science
Publication Date:
Jun 01, 1977
Product Type:
Journal Article
Reference Number:
AIX-09-371888; EDB-78-093341
Resource Relation:
Journal Name: J. Phys. Soc. Jpn.; (Japan); Journal Volume: 42:6
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SCHROEDINGER EQUATION; MODULATION; TORSION; WAVE PROPAGATION; AMPLITUDES; DISPERSIONS; ELASTICITY; HARMONICS; INSTABILITY; NONLINEAR PROBLEMS; OSCILLATION MODES; RESONANCE; TRAVELLING WAVES; DIFFERENTIAL EQUATIONS; EQUATIONS; MECHANICAL PROPERTIES; OSCILLATIONS; TENSILE PROPERTIES; WAVE EQUATIONS; 657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
OSTI ID:
6840839
Country of Origin:
Japan
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: JUPSA
Submitting Site:
INIS
Size:
Pages: 2056-2064
Announcement Date:
Jul 01, 1978

Journal Article:

Citation Formats

Hirao, M, and Sugimoto, N. Nonlinear modulation of torsional waves in elastic rod. [Instability]. Japan: N. p., 1977. Web.
Hirao, M, & Sugimoto, N. Nonlinear modulation of torsional waves in elastic rod. [Instability]. Japan.
Hirao, M, and Sugimoto, N. 1977. "Nonlinear modulation of torsional waves in elastic rod. [Instability]." Japan.
@misc{etde_6840839,
title = {Nonlinear modulation of torsional waves in elastic rod. [Instability]}
author = {Hirao, M, and Sugimoto, N}
abstractNote = {Nonlinear Schroedinger equation, which describes the nonlinear modulation of dispersive torsional waves in an elastic rod of circular cross-section, is derived by the derivative expansion method. It is found, for the lowest dispersive mode, that the modulational instability occurs except in the range of the carrier wavenumber, 2.799 journal = {J. Phys. Soc. Jpn.; (Japan)}
volume = {42:6}
journal type = {AC}
place = {Japan}
year = {1977}
month = {Jun}
}