基于WDQ法的粘弹性输流管道稳定性分析

The stability of visco-elastic pipes conveying fluid based on the WDQ method

在微分求积法(DQ法)基础上,根据多分辨分析理论,以尺度函数为基础构造插值基函数,形成小波微分求积法(WDQ法),用该方法研究了简支Kelvin型粘弹性输流管道的稳定性问题,给出了不同参数下管道复频率随内部流速的变化关系,分析了外部流速对Kelvin型粘弹性输流管道在不同延滞时间下的振动特性及稳定性的影响。

Based on Differential Quadrature Method（DQM） and multi-resolution analysis theory,the Wavelet Diffential Quadrature Method（WDQM） is proposed in this paper,in which the interpolation basic function is formed by using scaling function.The stability of simply supported Kelvin viscoelastic pipes conveying fluid is investigated by the method.The variation of complex frequencies of the pipe with the internal fluid speed under different parameters are given,and the effects of external fluid speed on vibration behaviors and stability of Kelvin visco-elastic fluid-conveying pipes with different delay time of the visco-elastic material are analyzed.