The effect of small internal and dashpot damping on a trapped mode of a semi-infinite string

Journal article (2025)

Authors

A.K. Abramian Russian Academy of Sciences (IPME RAS)
S. A. Vakulenko Saint Petersburg Electrotechnical University LETI
W.T. van Horssen Mathematical Physics - EEMCS
A. Jikhareva Saint Petersburg University for Industrial Technology and Design
Research Group
Mathematical Physics (EEMCS) (TU Delft)
More Info
expand_more

Published Date

2025

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Mathematical Physics

Abstract

The effect of small internal and dashpot damping on a trapped mode of a 1D-waveguide, that is, a semi-infinite string on a Winkler elastic foundation, has been investigated. At the edge of the string a mass–spring–damper system is attached. The string is assumed to have an internal damping. Four models for the internal damping are considered: air damping, Kelvin–Voigt damping, local Kelvin–Voigt damping, and damping related to time hysteresis. Depending on the internal damping and the parameters in the formulated problem, it will be shown that the amplitude of a trapped mode of the string can decrease or increase with time.

Files

1-s2.0-S0022460X2400511X-main.... (pdf)
(pdf | 0.769 Mb)
warning

File under embargo until 26-03-2025