Frequency-Energy Analysis of Coupled Linear Oscillator With Unsymmetrical Nonlinear Energy Sink

被引:8
作者
Al-Shudeifat, Mohammad A. [1 ]
机构
[1] Khalifa Univ Sci & Technol, Dept Aerosp Engn, Abu Dhabi 127788, U Arab Emirates
来源
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2023年 / 18卷 / 02期
关键词
RESONANCE CAPTURES; NORMAL-MODES; PART II; TRANSFERS; EFFICIENCY; DYNAMICS; SYSTEM;
D O I
10.1115/1.4056359
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The underlying nonlinear dynamical behavior of a linear oscillator (LO) attached with nonlinear energy sink (NES) is usually revealed by studying the LO-NES system on the frequency-energy plot (FEP). Accordingly, different kinds of periodic motions on the backbone curves of the nonlinear normal modes (NNMs) and their associated subharmonic branches are analyzed. Here, the considered unsymmetrical nonlinear energy sink (UNES) incorporates a cubic stiffness element in one direction of the motion and a weak linear restoring coupling stiffness in both directions of the motion. This UNES is attached with the LO in the LO-UNES system which is studied here on the FEP. Therefore, the obtained FEP of the LO-UNES system is generated and analyzed. Accordingly, several unsymmetrical backbone curves of periodic oscillations between the UNES mass and the LO mass at 1:1 resonance have been obtained for broad range of nonlinear frequency levels.
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页数:7
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