Nonlinear Equations with a Retarded Argument in Discrete-Continuous Systems

Pielorz, Amalia

doi:https://doi.org/10.1155/2007/28430

Mathematical Problems in Engineering

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Research Article | Open Access

Volume 2007 | Article ID 028430 | https://doi.org/10.1155/2007/28430

Nonlinear Equations with a Retarded Argument in Discrete-Continuous Systems

Amalia Pielorz¹

Academic Editor: Katica R. (Stevanović) Hedrih

Received18 Apr 2006

Accepted20 Mar 2007

Published17 May 2007

Abstract

The paper deals with dynamic problems of discrete-continuous systems with local nonlinearities, the analysis of which is reduced to solving nonlinear differential equations with a retarded argument. This concerns the discrete-continuous systems subject to torsional, longitudinal, or shear deformations, where the equations of motion for elastic elements are classical wave equations. It is assumed that the characteristics of local nonlinearities are of a soft-type and in the paper they are described by four nonlinear functions. After a short general description of the approach used, the detailed considerations and numerical results are presented for a multimass discrete-continuous system with a local nonlinearity having the characteristics of a soft-type subject to shear deformations.

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Copyright

Copyright © 2007 Amalia Pielorz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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