摘要
应用增量谐波平衡法(IHB法)研究脉动流激励下两端铰支输流管的参数共振。对无量纲的运动微分方程采用两振型Galerkin展开式离散化后,用IHB法分析了管道一阶1/2次谐波参数共振,并得到了幅-频响应曲线。将其与数值模拟解以及平均法结果比较发现,IHB法所得到的响应比平均法更加精确。研究同时表明:高阶模态对管道的一阶参数共振影响很小。
Parametric resonances of pinned-pinned pipes conveying pulsating fluid are investigated by using the incremental harmonic balance (IHB) method. After discretizing the governing equations with Galerkin method, the sub-harmonic parametric resonance of the order 1/2 is analyzed and the amplitude-frequency response curves are obtained with the IHB method. They are compared with the results of the numerical simulations using the method of averaging. It is found out that the results from the IHB method are more accurate than those from the averaging method. the results also show that higher order modes have little influence on the parametric resonance of the first mode.Numerical examples illustrate the efficiency and accuracy of the IHB method in analysis of a fluid-solid coupled system.
出处
《振动与冲击》
EI
CSCD
北大核心
2008年第9期44-46,共3页
Journal of Vibration and Shock
基金
国家自然科学基金资助(10702045)
关键词
输流管道
脉动流
增量谐波平衡(IHB)法
参数共振
pipes conveying fluid
pulsating fluid
incremental harmonic balance (IHB) method
parametric resonance
