Interaction effects of driving amplitudes and frequencies on transitivity in a granular chain. (7th July 2022)

• Record Type: Journal Article
• Authors: Cui, Jian-Guo; Yang, Tianzhi; Niu, Mu-Qing; Chen, Li-Qun
• Is Part Of: Journal of sound and vibration. Volume 529(2022)
• Publication Date: 2022-07-07
• Subjects: Frequency-amplitude plane -- Synergistic dependence -- Granular phononic crystals; Sound -- Periodicals; Vibration -- Periodicals; Son -- Périodiques; Vibration -- Périodiques; Sound; Vibration; Periodicals; Electronic journals; 620.205
• DOI: 10.1016/j.jsv.2022.116966
• Languages: English
• ISSNs: 0022-460X

Abstract

Highlights: synergistic dependence of the amplitude and the frequency for a driven granular chain. 5 regions, linear pass, weakly-nonlinear pass, supratransmission, inconsistence and forbidden in the frequency-amplitude plane. guidance for experimental and numerical researches. Abstract: The present work reveals the synergistic dependence of the dynamic behaviors on the amplitude and the frequency of an input acoustic wave for a driven granular chain. The mathematical model is established to yield numerically the responses. The investigation demonstrates that the frequency-amplitude plane has five regions, linear pass, weakly-nonlinear pass, supratransmission, inconsistence and forbidden. Only for a small amplitude, the frequency band is divided into pass band and forbidden band by the cutoff frequency. The resulting classification are supported by available relevant experiments. These results would guide the design of acoustic or mechanical flow control device.