Travelling and standing envelope solitons in discrete non-linear cyclic structures
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- 作者：Aurelien Groleta ; a.grolet@imperial.ac.uk" class="auth_mail" title="E-mail the corresponding author ; Norbert Hoffmanna ; n.hoffmann@imperial.ac.uk" class="auth_mail" title="E-mail the corresponding author ; Fabrice Thouverezb ; fabrice.thouverez@ec-lyon.fr" class="auth_mail" title="E-mail the corresponding author ; Christoph Schwingshackla ; c.schwingshackl@imperial.ac.uk" class="auth_mail" title="E-mail the corresponding author
- 关键词：Non-linear dynamics ; Cyclic system ; Travelling waves ; Envelope soliton ; Multiple scales
- 刊名：Mechanical Systems and Signal Processing
- 出版年：2016
- 出版时间：15 December 2016
- 年：2016
- 卷：81
- 期：Complete
- 页码：75-87
- 全文大小：1245 K
文摘
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Use of continuum approximation to derive a non-linear Schrodinger equation for the evolution of travelling waves.
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Analytic expression for envelope soliton in a cyclic structure as a particular solution of the NLSE.
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Numerical application on a simple non-linear cyclic system which can be seen as a simple approximation of a bladed disk.
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Both travelling and standing soliton patterns arise which have the property that the higher the amplitude is, the more localised the solution gets.
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Use of continuation techniques to show that standing solitons are linked to (standing) non-linear normal modes through bifurcation.
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Contribution to the field of solitons in the context of structural mechanics.