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

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

机构地区：[1]Key Laboratory of Power Station Energy Transfer Conversion and System,Ministry of Education,School of Energy Power and Mechanical Engineering,North China Electric Power University,Beijing,102206,China [2]Key Laboratory of Fluid and Power Machinery,Ministry of Education,Xihua University,Chengdu,610039,China

出　　处：《Journal of Hydrodynamics》2024年第6期1095-1103,共9页水动力学研究与进展B辑(英文版)

基　　金：supported by the Open Research Subject of Key Laboratory of Fluid and Power Machinery,Ministry of Education,Xihua University(Grant No.LTDL-2024009).

摘　　要：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.

关 键 词：Cylindrical bubble simultaneous resonance oscillation equation frequency response 

分 类 号：O17[理学—数学]