摘要
应用增量谐波平衡法(Incremental harmonic balance method,IHB方法)研究两端固定输流管在脉动流激励下的参数共振问题。分析离散化后的运动微分方程,得到管道一阶次谐波参数共振的幅-频响应曲线,讨论系统参数对失稳临界频率的影响。比较IHB方法与数值模拟方法得到的管道振幅,二者吻合得很好。典型算例表明,对于具有强非线性的流-固耦合系统,IHB方法是精确有效的半解析研究方法。
Parametric resonances of clamped-clamped pipes conveying pulsating fluid are investigated by the incremental harmonic balance （IHB） method. The discretized differential equation of motion is solved and the amplitude-frequency response curves of the subharmonic parametric resonance are obtained by using the IHB method. The effect of the physical parameters of the system on the critical frequency of instability is discussed. The amplitude of the pipe obtained by IHB method is compared with the result of numerical Simulation and it is shown that they are in good agreement. The typical example demonstrates that IHB is a precise and effective semi-analytical method for the fluid-structure interaction systems with strong nonlinearity.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2009年第7期126-130,共5页
Journal of Mechanical Engineering
基金
国家自然科学基金资助项目(10702045)
关键词
输流管
增量谐波平衡法
参数共振
脉动流
Pipes conveying fluid Incremental harmonic balance method Parametric resonance Pulsating fluid
