摘要
为获取声波作用下的气泡非线性动力学特性影响因素及频谱变化规律,本文以描述声场作用下气泡动力学特性的Keller-Miksis模型为基础,综合利用多种数值分析方法,对激励声压幅值、激励频率以及气泡平衡半径等参数对气泡非线性动力学特性影响及参数控制下该非线性系统中多种运动状态下的频谱能量变化规律进行了研究。研究结果表明,只有当系统参数皆在一定阈值范围内时,系统才可能发生混沌,系统混沌运动状态的产生是各种因素相互制约和均衡的结果,且在该系统中蕴含着复杂的频谱展宽和能量转换过程。在实验中观察到次谐波的出现,并证明了随着激励强度的增大,产生次谐波的能量越大,同时基波能量衰减也越大。本文的研究工作可为引导外加声场的频谱结构发生改变所带来的潜在的噪声控制等应用提供一定的理论和实验基础。
Based on Keller-Miksis model, the influences of multiple control parameters, such as acoustic pressure amplitude, acoustic frequency and bubble radius at rest, on the complicated dynamics characteristics of nonlinear bubble oscillation driven by acoustic wave are discussed by utilizing a variety of numerical analysis methods, and the restrictive relationships among different parameters are analyzed. It is shown that chaotic state can occur only in the condition of all of the parameters in the suitable threshold, as the same time, chaotic state is the result of interaction of multiple control parameters. Furthermore, the power spectral expansion and energy conversion are existed in this nonlinear system. It is certified that the stronger acoustic pressure amplitude, the greater the sub-harmonic energy, besides, the energy attenuation of fundamental harmonic is also much greater.
出处
《声学学报》
EI
CSCD
北大核心
2013年第2期113-127,共15页
Acta Acustica
基金
国家自然科学基金青年科学基金资助项目(11204050
11204049)
