On the resonance response of an asymmetric Duffing oscillator
On the resonance response of an asymmetric Duffing oscillator
The primary resonance response of an asymmetric Duffing oscillator with no linear stiffness term and with hardening characteristic is investigated in this paper. An approximate solution corresponding to the steady-state response is sought by applying the harmonic balance method. Its stability is also studied. It is found that different shapes of frequency–response curves can exist. Multiple-valued solutions, indicating the occurrence of jump phenomena, are observed analytically and confirmed numerically. The influence of the system parameters on the primary resonance response is also examined
primary resonance, frequency–response curve, frc, multiple jumps, hysteretic behaviour
858-867
Kovacic, Ivana
a84bc948-5aa9-444f-8a58-12a731808a20
Brennan, Michael J.
87c7bca3-a9e5-46aa-9153-34c712355a13
Lineton, Benjamin
1ace4e96-34da-4fc4-bc17-a1d82b2ba0e2
November 2008
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
(2008)
On the resonance response of an asymmetric Duffing oscillator.
International Journal of Non-Linear Mechanics, 43 (9), .
(doi:10.1016/j.ijnonlinmec.2008.05.008).
Abstract
The primary resonance response of an asymmetric Duffing oscillator with no linear stiffness term and with hardening characteristic is investigated in this paper. An approximate solution corresponding to the steady-state response is sought by applying the harmonic balance method. Its stability is also studied. It is found that different shapes of frequency–response curves can exist. Multiple-valued solutions, indicating the occurrence of jump phenomena, are observed analytically and confirmed numerically. The influence of the system parameters on the primary resonance response is also examined
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Published date: November 2008
Keywords:
primary resonance, frequency–response curve, frc, multiple jumps, hysteretic behaviour
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Local EPrints ID: 79126
URI: http://eprints.soton.ac.uk/id/eprint/79126
ISSN: 0020-7462
PURE UUID: 7aa9b4c7-313f-41cf-b267-8d39a901a237
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Date deposited: 12 Mar 2010
Last modified: 14 Mar 2024 02:47
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Author:
Ivana Kovacic
Author:
Michael J. Brennan
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