On the resonance response of an asymmetric Duffing oscillator

被引：85

作者：

Kovacic, Ivana ^{[1
]}

Brennan, Michael J. ^{[2
]}

Lineton, Benjamin ^{[2
]}

机构：

[1] Univ Novi Sad, Fac Tech Sci, Dept Mech, Novi Sad 21000, Serbia

[2] Univ Southampton, Inst Sound & Vibrat Res, Southampton SO17 1BJ, Hants, England

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2008年 / 43卷 / 09期

关键词：

Primary resonance; Frequency-response curve (FRC); Multiple jumps; Hysteretic behaviour;

D O I：

10.1016/j.ijnonlinmec.2008.05.008

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：858 / 867

页数：10

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