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Effect of a static force on the dynamic behaviour of a harmonically excited quasi-zero stiffness system

Effect of a static force on the dynamic behaviour of a harmonically excited quasi-zero stiffness system
Effect of a static force on the dynamic behaviour of a harmonically excited quasi-zero stiffness system
This paper concerns the way in which a static force can dramatically change the dynamic behaviour of a harmonically excited quasi-zero stiffness single-dof system. The primary resonance response of the system is considered using the harmonic balance method and the results are verified numerically. It is found that the system changes its characteristic from being purely hardening to a mixed softening and hardening characteristic and finally to a purely softening characteristic as the static force increases from zero. Consequently for certain values of the static force multiple jumps can occur. Five different cases of a possible response are distinguished and related to the values of the static force. It is also found that just one harmonic is required to qualitatively describe the behaviour of the system. The inclusion of a second harmonic in the solution does result in changes to the response, especially the softening behaviour, but overall it has a small effect for the system parameters chosen in this paper, which is representative of a quasi-zero stiffness isolator. The influence of damping is also considered.
0022-460X
870-883
Kovacic, Ivana
a84bc948-5aa9-444f-8a58-12a731808a20
Brennan, Michael J.
87c7bca3-a9e5-46aa-9153-34c712355a13
Lineton, Benjamin
1ace4e96-34da-4fc4-bc17-a1d82b2ba0e2
Kovacic, Ivana
a84bc948-5aa9-444f-8a58-12a731808a20
Brennan, Michael J.
87c7bca3-a9e5-46aa-9153-34c712355a13
Lineton, Benjamin
1ace4e96-34da-4fc4-bc17-a1d82b2ba0e2

Kovacic, Ivana, Brennan, Michael J. and Lineton, Benjamin (2009) Effect of a static force on the dynamic behaviour of a harmonically excited quasi-zero stiffness system. Journal of Sound and Vibration, 325 (4-5), 870-883. (doi:10.1016/j.jsv.2009.03.036).

Record type: Article

Abstract

This paper concerns the way in which a static force can dramatically change the dynamic behaviour of a harmonically excited quasi-zero stiffness single-dof system. The primary resonance response of the system is considered using the harmonic balance method and the results are verified numerically. It is found that the system changes its characteristic from being purely hardening to a mixed softening and hardening characteristic and finally to a purely softening characteristic as the static force increases from zero. Consequently for certain values of the static force multiple jumps can occur. Five different cases of a possible response are distinguished and related to the values of the static force. It is also found that just one harmonic is required to qualitatively describe the behaviour of the system. The inclusion of a second harmonic in the solution does result in changes to the response, especially the softening behaviour, but overall it has a small effect for the system parameters chosen in this paper, which is representative of a quasi-zero stiffness isolator. The influence of damping is also considered.

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Published date: 11 September 2009
Organisations: Dynamics Group

Identifiers

Local EPrints ID: 71564
URI: http://eprints.soton.ac.uk/id/eprint/71564
ISSN: 0022-460X
PURE UUID: 67eed1e8-710b-4575-a505-d6887ecf85dd
ORCID for Benjamin Lineton: ORCID iD orcid.org/0000-0003-4784-7762

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Date deposited: 05 Mar 2010
Last modified: 14 Mar 2024 02:47

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Contributors

Author: Ivana Kovacic
Author: Michael J. Brennan

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