A refined multi-scale analysis of complex systems using frequency detuning: Perturbation around a nonlinear problem

IF 4.3 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration Pub Date : 2025-01-18 DOI:10.1016/j.jsv.2025.118963

Yasai Nie , Tieding Guo , Stefano Lenci

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引用次数: 0

Abstract

The frequency detuning idea is further examined and fully extended to develop a refined multi-scale analysis procedure for more generic nonlinear systems of an inertially/damping/geometrical nonlinear type, aiming for a superior performance of predicting high-amplitude nonlinear responses, at the same time, without requiring a higher-order perturbation development. Briefly, frequency detuning means weakly nonlinear analysis/expansion is unfolded around a nonlinear oscillation problem, which is associated with a nonlinear (response) frequency rather than the commonly used linear frequency (i.e., perturbation around a nonlinear problem). Both frequency response curves (FRCs) and backbone curves (BBCs) are leveraged for a full comparison study regarding (frequency) detuned vs. traditional multi-scale methods (dMSM vs. MSM), with reference to numerical ones for verification. The results demonstrate superiority of dMSM in high-amplitude region when frequency detuning is employed.

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来源期刊

Journal of Sound and Vibration 工程技术-工程：机械

CiteScore

9.10

自引率

10.60%

发文量

551

审稿时长

69 days

期刊介绍： The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application. JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.