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浙江大学学报(工学版)
JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE)
    
Spectral method on exploring dispersion characteristics of axially symmetric guided waves in high-temperature tube
YU Bao-hua1,2 , YANG Shi-xi2, GAN Chun-biao2 , LEI Hua3
1. School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 310018, China; 2. Department of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China; 3. Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China
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Abstract  

For resolving the negative affect of dispersion and multi-mode characteristics of guide wave in tube defect detection, a single mode narrow-band guide wave should be excited through narrowband excitation and wavelength tuning method. The choice of guided wave excitation mode and excitation frequency relys on the guided wave dispersion characteristic curve analysis. For relieving the problem of low efficiency in use of traditional root-finding approach for dispersion characteristic and the impact of high temperature to dispersion characteristic, the dispersion characteristic equations of the axially symmetric guided wave in tube considering the impact of high-temperature were derived based on the Navier displacement equations and the temperature-dependent material properties model. Then, guided wave dispersion characteristic was rapidly acquired by the spectral method, and the corresponding algorithm and a graphical user interface were also designed to facilitate the analysis. The dispersion curves of the axially symmetric guided wave were drawn from the numerical results by the root-finding approach and the spectral method at two kind temperature conditions. On one hand, data obtained by these two methods were well matched; on the other hand, the spectral approach shows to possess higher analytical efficiency than that of the root-finding approach. The spectral approach for axially symmetric guided wave in high-temperature tube can help for detection parameter selecting and subsequent signal analysis.

Published: 01 September 2014
CLC:  O 348.8  
  TG 115.28  
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Cite this article:

YU Bao-hua, YANG Shi-xi, GAN Chun-biao, LEI Hua. Spectral method on exploring dispersion characteristics of axially symmetric guided waves in high-temperature tube. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 2014, 48(9): 1668-1675.

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http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2014.09.018     OR     http://www.zjujournals.com/eng/Y2014/V48/I9/1668


高温圆管轴对称导波频散特性的谱方法

针对传统寻根法分析圆管导波频散特性效率偏低以及高温环境对频散特性影响的问题,基于Navier位移运动方程及材料参数的温度依赖关系,推导并建立考虑高温影响的圆管轴对称导波的频散特性方程组;运用谱方法快速高效地分析和获取导波频散特性,同时设计相应的算法流程及图形化分析程序；基于谱方法和寻根法开展常温及高温2种工况下的数值算例仿真与分析,并提出一种更易分析的“频散强度”模型.算例结果表明：2种分析方法获取的频散特性完全吻合,而谱方法分析时间明显小于传统寻根法.本研究可为高温圆管轴对称导波检测参数的优化选择及后续信号分析提供理论支持.

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