Theoretical investigation of the simultaneous resonance of a cylindrical bubble under triple-frequency acoustic excitation

IF 2.5 3区工程技术

Journal of Hydrodynamics Pub Date : 2025-02-20 DOI:10.1007/s42241-025-0107-1

Jia-xin Yu, Zhi-hao Liu, Jin-xin Luo, Xiang-qing Zhang, Zheng-gui Li, Yu-ning Zhang

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引用次数: 0

Abstract

In the present paper, the simultaneous resonance of a cylindrical bubble under triple-frequency acoustic excitation is investigated theoretically. Specifically, based on the multi-scale method, the dimensionless oscillation equations and the second-order analytical solutions of the primary-subharmonic-subharmonic (PRI-SUB-SUB), primary-superharmonic-superharmonic (PRI-SUPER-SUPER) simultaneous resonances are obtained. Based on the analysis of the frequency response, the nonlinear dynamic behavior of the cylindrical bubble and its influencing factors are analyzed. The primary conclusions include: (1) Under triple-frequency acoustic excitation, the frequency response of PRI-SUB-SUB presents a single peak, and that of PRI-SUPER-SUPER presents two peaks. (2) The polytropic exponent affects both the peak value and position of the resonance peak in the frequency response. (3) The unstable region in frequency response curve of the simultaneous resonance is significantly affected by the total amplitude and equilibrium radius, presenting a positive correlation.

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来源期刊

Journal of Hydrodynamics MECHANICS-

自引率

12.00%

发文量

2374

审稿时长

4.6 months

期刊介绍： Journal of Hydrodynamics is devoted to the publication of original theoretical, computational and experimental contributions to the all aspects of hydrodynamics. It covers advances in the naval architecture and ocean engineering, marine and ocean engineering, environmental engineering, water conservancy and hydropower engineering, energy exploration, chemical engineering, biological and biomedical engineering etc.