弹性管中泡群内气泡的非线性声响应*

摘要

Based on the hypothesis that the wall of an elastic tube can be described as a membrane-type elastic structure, the coupled oscillation in a system of bubble clusters and local position of the elastic wall is explored, and the model of the nonlinear oscillation of bubbles is developed. According to the successive approximation method, the nonlinear resonance frequencies the and forced oscillation are analyzed theoretically. Results indicate that the resonance frequency of bubbles is mainly affected by the interaction of bubbles in clusters. Furthermore, there is a maximum frequency of ultrasound that will excite vibrations of the bubbles in clusters, and the response of multi-valued amplitudes exists in the region of high frequency.%将弹性管壁视为膜弹性结构，得到了管径较大弹性管中泡群内气泡弱非线性振动的动力学模型。利用逐级近似法对气泡的非线性共振频率、基频振动响应特性进行了理论分析。结果表明：气泡共振频率主要受泡群内气泡间相互作用的影响；气泡的非线性共振频率将发生偏移，其偏移量取决于共振响应振幅；气泡的声响应区存在最大频率值；在声响应的高频率区内声响应幅值有多值性。