Nonlinear Modulation of Torsional Waves in Elastic Rod
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概要
- 論文の詳細を見る
Nonlinear Schr6dinger equation, whicla describes the nonlinear modulation ofdispersive torsional waves in an elastic rod of circular cross-section, is derived bythe derivative expansion method. It is found, for the lowest dispersive mode,that the modulational instability occurs except in the range of tlte carrier wave-number, 2.799<A<3.032. However, at the critical wavenumber where thefundanaental and its second-harnaonic waves can propagate sjnaultaneously, thesecond-harnaonic resonance takes place and then the nonlinear Schr6dingereqtuation is no longer valid. In this case, another system of equations is derived,which governs both the wave anuplitudes involved in this resonance between thefundamental torsional and its second-haranonic longitudinal uatodes.
- 社団法人日本物理学会の論文
- 1977-06-15
著者
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Hirao Masahiko
Department Of Chemical System Engineering School Of Engineering The University Of Tokyo
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Hirao Masahiko
Department Of Mechanical Engineering Faculty Of Engineering Science Osaka University
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SUGIMOTO Nobumasa
Department of Mechanical Engineering,Faculty of Engineering Science,Osaka University
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Sugimoto Nobumasa
Department Of Mechanical Engineering Faculty Of Engineering Science Osaka University
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