摘要
空化气泡会引起强烈的声辐射和舰船壳体振动,自由气核振动的跨临界分叉研究对寻求空化气泡的生成机理具有重要意义。通过建立不可压缩液体中自由气核的振动模型,由中心流形定理对该振动模型进行约化,得出中心流形上的跨临界分叉方程,通过该振动模型的分叉研究,提出了产生气泡的新机理,并进行了仿真实验加以验证。仿真结果表明,跨临界分叉是自由气核产生气泡的一条途径。
Gas bubbles can cause shell vibration and sound radiation, it is very important the supercritical bifurcation characteristic study of free gas nucleus to search bubble generating mechanism. The oscillation models of free gas nucleus in incompressible liquid were established,the supercritical bifurcation equation on center manifold is obtained through reducing the nonlinear oscillation system of free gas nucleus by center manifold theory. The bifurcation mechanism of bubble generating is obtained after studying the bifurcation characteristic. The simulation results show that supercritical bifurcation is a route on which the free gas nucleus can grow up into bubble.
出处
《舰船科学技术》
2009年第2期34-37,共4页
Ship Science and Technology
关键词
自由气核
振动模型
跨临界分岔
气泡
free gas nucleus
oscillation models
supercritical bifurcation
bubble
