Wave reflection at the end of a waveguide supported by a nonlinear spring
Loading...
Date
Authors
Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
Journal ISSN
Volume Title
Publisher
Type
Work presented at event
Access right
Acesso aberto
Abstract
The way in which a nonlinear spring affects the reflection coefficients at the end of a rod and a beam is investigated in this paper. The specific type of nonlinearity considered is of the hardening and softening Duffing-type, which has both linear and cubic stiffness. The magnitudes and the phases of the reflection coefficients for longitudinal and flexural waves are determined. This is achieved by using the harmonic balance approach and the results are verified by comparing the incoming and the outgoing power from the boundary. It is shown that the main effect of the nonlinearity is to change the phase, except in the case of an incident evanescent wave when there is also a jump in the magnitude of the reflection coefficient. In addition, when the nonlinearity is of the softening type, a jump phenomenon occurs in the reflection coefficients.
Description
Keywords
Nonlinear stiffness boundary, Wave motion
Language
English
Citation
Proceedings of the International Conference on Structural Dynamic , EURODYN, v. 2014-January, p. 2019-2025.
Related itens
Sponsors
Collections
Other forms of access
