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

A.K. Abramian; S. A. Vakulenko; W. T. van Horssen; A. Jikhareva

doi:10.1016/j.jsv.2024.118749

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

A.K. Abramian^*, S. A. Vakulenko, W. T. van Horssen, A. Jikhareva

^*Corresponding author for this work

Mathematical Physics

Research output: Contribution to journal › Article › Scientific › peer-review

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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.

Original language	English
Article number	118749
Number of pages	12
Journal	Journal of Sound and Vibration
Volume	595
DOIs	https://doi.org/10.1016/j.jsv.2024.118749
Publication status	Published - 2025

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

Internal damping
Oscillator
String
Trapped mode
Winkler foundation

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10.1016/j.jsv.2024.118749

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Cite this

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

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.",

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AU - Vakulenko, S. A.

AU - van Horssen, W. T.

AU - Jikhareva, A.

N1 - Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

PY - 2025

Y1 - 2025

N2 - 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.

AB - 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.

KW - Internal damping

KW - Oscillator

KW - String

KW - Trapped mode

KW - Winkler foundation

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ER -

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

Abstract

Bibliographical note

Keywords

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