求解输流管道动态响应问题的一种有效方法

研究了两端铰支输流管道在脉动内流作用下的参数共振问题。根据数值分析中发现的参数共振响应特性,给出了第一和第二振型运动相互解耦的控制方程,并用谐波平衡法导出了参数共振响应曲线的近似解析解。算例表明,第一振型近似解与数值解吻合得很好,而第二振型解在共振点附近与数值解略有差距,但二者的整体走向完全相同。

An effective solution to dynamic response of pipes conveying fluid

The parametric resonances are investigated for pinned-pinned pipes conveying pulsating fluid.According to the characteristics of responses of the parametric resonances which are found in the numerical analysis,an uncoupling equation of the first and second mode motion is obtained.The equation is solved by using the harmonic balance method to obtain an approximate formula of solution to the responses of the parametric resonances.The analytical solutions obtained are compared with those given by the numerical analysis,and it is found that the two results are in good agreement for the first mode resonance even in the region that is far away from the resonant point.For the second mode resonance the two results are qualitatively in agreement though they are somewhat in disagreement quantitatively near the resonant point.