Quasi-periodic oscillation characteristics of a nonlinear energy sink system under harmonic excitation

被引：6
作者：
Wu, T. M. [1 ]
Huang, J. L. [1 ]
Zhu, W. D. [2 ]
机构：
[1] Sun Yat Sen Univ, Dept Appl Mech & Engn, Guangzhou 510275, Peoples R China
[2] Univ Maryland Baltimore Cty, Dept Mech Engn, 1000 Hilltop Circle, Baltimore, MD 21250 USA
来源：
JOURNAL OF SOUND AND VIBRATION | 2024年 / 572卷
基金：
中国国家自然科学基金;
关键词：
Nonlinear energy sink; Incremental harmonic balance method with two time-scales; Quasi-periodic oscillation; Stability analysis; LINEAR-OSCILLATOR; BALANCE METHOD; SEISMIC MITIGATION; SHEAR FRAME; TRANSFERS; VIBRATION; ATTRACTORS; DYNAMICS; SCALES; MODE;
D O I：
10.1016/j.jsv.2023.118143
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
Quasi-periodic oscillation characteristics of a nonlinear energy sink (NES) system under harmonic excitation are studied in this work. It is found that there exist uniformly distributed sidebands in frequency spectra of quasi-periodic oscillations. The traditional incremental harmonic balance (IHB) method and the IHB method with two time-scales are used to obtain accurate frequency components and amplitudes of periodic responses and two different quasi-periodic oscillations of the system, respectively, with variations of the external excita-tion frequency and amplitude. The two different quasi-periodic oscillation characteristics are analyzed; energy absorption of the NES system under different excitation frequencies and amplitudes is also analyzed. Stability of quasi-periodic solutions obtained from the IHB method with two time-scales is analyzed by the Floquet theory. Analytical results obtained from the traditional IHB method and the IHB method with two time-scales agree very well with those from numerical integration using the fourth-order Runge-Kutta method. Results show that the efficiency of energy absorption of a strongly quasi-periodic oscillation is greater than those of a periodic response and a weakly quasi-periodic oscillation.
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页数：19
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