Dynamics of a weakly nonlinear string on an elastic foundation with a partly prescribed discrete spectrum

Autor:	Andrei K. Abramian, Sergei A. Vakulenko, Wim T. van Horssen
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Nonlinear string Control and Systems Engineering Applied Mathematics Mechanical Engineering Aerospace Engineering Prescribed spectrum Ocean Engineering Inhomogeneous Winkler foundation Electrical and Electronic Engineering
Zdroj:	Nonlinear Dynamics: an international journal of nonlinear dynamics and chaos in engineering systems, 111(6)
ISSN:	0924-090X
Popis:	In this paper the dynamics of a weakly nonlinear elastic string on a Winkler elastic foundation is studied. The foundation may be spatially heterogeneous. At one end of the string a mass-spring system is attached, and the other end of the string is fixed. The string is assumed to be long, and the lower part of the spectrum of the string is prescribed. It is shown that localized modes exist and that the dynamics of the string for large times is determined by these localized modes. The frequencies of these localized modes can be controlled by special choices for the spatial heterogeneities in the elastic foundation. Analytical and numerical results are presented to illustrate the findings.
Databáze:	OpenAIRE
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