Dynamics of 1D mass–spring system with a negative stiffness spring realized by magnets: Theoretical and experimental study

Akintoye Olumide Oyelade; Ziwei Wang; Gengkai Hu

doi:10.1016/j.taml.2016.12.004

Dynamics of 1D mass–spring system with a negative stiffness spring realized by magnets: Theoretical and experimental study

Akintoye Olumide Oyelade, Ziwei Wang, Gengkai Hu^*

^*Corresponding author for this work

School of Aerospace Engineering

Beijing Institute of Technology

Research output: Contribution to journal › Letter › peer-review

27 Citations (Scopus)

Abstract

Realization of negative stiffness (NS) in damping low frequency acoustic and mechanical vibration is relevant in engineering applications. In this work, assemblage of two repelling magnets was used to produce negative magnetic spring (NMS). A mass–spring system with NMS is experimented where the free and forced vibrations of the system are examined. The anti-phase movement is observed due to the presence of proposed NMS, confirming the analytical solution. We further showed the dynamics of the system containing NS spring could also be derived from Hamilton's principle.

Original language	English
Pages (from-to)	17-21
Number of pages	5
Journal	Theoretical and Applied Mechanics Letters
Volume	7
Issue number	1
DOIs	https://doi.org/10.1016/j.taml.2016.12.004
Publication status	Published - 1 Jan 2017

Keywords

Interaction
Magnets
Negative stiffness

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10.1016/j.taml.2016.12.004

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abstract = "Realization of negative stiffness (NS) in damping low frequency acoustic and mechanical vibration is relevant in engineering applications. In this work, assemblage of two repelling magnets was used to produce negative magnetic spring (NMS). A mass–spring system with NMS is experimented where the free and forced vibrations of the system are examined. The anti-phase movement is observed due to the presence of proposed NMS, confirming the analytical solution. We further showed the dynamics of the system containing NS spring could also be derived from Hamilton's principle.",

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author = "Oyelade, {Akintoye Olumide} and Ziwei Wang and Gengkai Hu",

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AU - Wang, Ziwei

AU - Hu, Gengkai

PY - 2017/1/1

Y1 - 2017/1/1

N2 - Realization of negative stiffness (NS) in damping low frequency acoustic and mechanical vibration is relevant in engineering applications. In this work, assemblage of two repelling magnets was used to produce negative magnetic spring (NMS). A mass–spring system with NMS is experimented where the free and forced vibrations of the system are examined. The anti-phase movement is observed due to the presence of proposed NMS, confirming the analytical solution. We further showed the dynamics of the system containing NS spring could also be derived from Hamilton's principle.

AB - Realization of negative stiffness (NS) in damping low frequency acoustic and mechanical vibration is relevant in engineering applications. In this work, assemblage of two repelling magnets was used to produce negative magnetic spring (NMS). A mass–spring system with NMS is experimented where the free and forced vibrations of the system are examined. The anti-phase movement is observed due to the presence of proposed NMS, confirming the analytical solution. We further showed the dynamics of the system containing NS spring could also be derived from Hamilton's principle.

KW - Interaction

KW - Magnets

KW - Negative stiffness

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JO - Theoretical and Applied Mechanics Letters

JF - Theoretical and Applied Mechanics Letters

IS - 1

ER -

Dynamics of 1D mass–spring system with a negative stiffness spring realized by magnets: Theoretical and experimental study

Abstract

Keywords

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