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基于WDQ法的粘弹性输流管道稳定性分析
引用本文:赵凤群,王忠民,张菊梅.基于WDQ法的粘弹性输流管道稳定性分析[J].计算力学学报,2011,28(4):584-589.
作者姓名:赵凤群  王忠民  张菊梅
作者单位:西安理工大学理学院,西安,710054
基金项目:陕西省教育厅科学研究计划(11JK0524);西安理工大学高学历人员科研启动项目;陕西省重点学科建设专项资金资助项目.
摘    要: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。

关 键 词:输流管道  稳定性  多分辨分析  DQ法
收稿时间:9/2/2010 12:00:00 AM
修稿时间:2010/12/20 0:00:00

The stability of visco-elastic pipes conveying fluid based on the WDQ method
ZHAO Feng-qun,WANG Zhong-min and ZHANG Ju-mei.The stability of visco-elastic pipes conveying fluid based on the WDQ method[J].Chinese Journal of Computational Mechanics,2011,28(4):584-589.
Authors:ZHAO Feng-qun  WANG Zhong-min and ZHANG Ju-mei
Institution:School of Sciences,Xi'an University of Technology, Xi'an 710054, China;School of Sciences,Xi'an University of Technology, Xi'an 710054, China;School of Sciences,Xi'an University of Technology, Xi'an 710054, China
Abstract: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.
Keywords:pipes conveying fluid  stability  multi-resolution analysis  DQ method
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