物理学报Issue(11)：303-311,9.DOI:10.7498/aps.62.114301
弹性微管内气泡的非线性受迫振动*
Nonlinear forced oscillations of gaseous bubbles in elastic microtubules*
摘要
Abstract
The wall of elastic microtubules can be described as a membrane-type elastic structure. An oscillating system driven by ultrasound consists of liquid columns, a bubble and elastic wall of the tube. The nonlinear properties of this system are explored. Based on the successive approximation method, the nonlinear resonance frequencies, the amplitude response of fundamental and third oscillations to driving acoustic wave, and the mechanism of resonance response related to the driving wave whose frequency is lower than the resonant frequency are analyzed theoretically. The nonlinear system is oscillating in two directions: the axial and radial directions of the bubble in the microtubule. Numerical results show that the resonance responses cannot be present simultaneously. It has been found that the amplitudes of the fundamental and third harmonic oscillation are multivalued, which may lead to instable response. The third harmonic oscillation is stronger in the region of lower frequencies.关键词
弹性微管/受迫振动/非线性振动/气泡声响应Key words
elastic microtubule/nonlinear oscillations/forced oscillations/acoustical response of bubble引用本文复制引用
王成会,程建春†..弹性微管内气泡的非线性受迫振动*[J].物理学报,2013,(11):303-311,9.基金项目
国家自然科学基金(批准号:10974038)资助的课题. （批准号:10974038）
@@@@*Project supported by the National Natural Science Foundation of China (Grant No.10974038) （Grant No.10974038）
