On the resonance response of an asymmetric Duffing oscillator |
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| Authors: | Ivana Kovacic Michael J Brennan |
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| Institution: | a Department of Mechanics, Faculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, Serbia
b Institute of Sound and Vibration Research, University of Southampton, Southampton SO17 1BJ, UK |
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| 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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| Keywords: | Primary resonance Frequency-response curve (FRC) Multiple jumps Hysteretic behaviour |
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