Novel Dispersion Curves Extraction Method for Waveguides Affected by Nonuniform Transient Temperature Field

Q1 Mathematics

Journal of Computational Acoustics Pub Date : 2015-05-07 DOI:10.1142/S0218396X15500071

Denghong Xiao, Tian He, Xiandong Liu, Yingchun Shan

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引用次数: 1

Abstract

Guided waves sensitivity to environmental and operational conditions, especially temperature fluctuations, is one of the major problems when the method is considered for real engineering applications. The aim of this paper is to propose a novel dispersion curves extraction method for waveguides affected by nonuniform transient temperature field. Essentially, the method is based on a simple and robust approach, consisting in a few series of modal analyses for a representative part of the inspected structure. To consider the effect of temperature, a thermal stress calculation based on finite element method is presented. In this way, for different wave lengths, the mode shapes and corresponding natural frequencies can be obtained by solving some thermal-eigenvalue problems. To test the theoretical thermal effect of the dispersion curves a experiment on an isotropic plate is conducted. Those theoretical dispersion curves, consisting of only dominant modes, are compared with dispersion curves obtained from experiment. Finally, this method is used to extract the dispersion curves of the aero-engine casing considering the nonuniform temperature field. The results not only give us insight to how temperature affects Lamb wave velocities in different frequency ranges but also will help those extracting dispersion curves for waveguides affected by nonuniform transient temperature field.

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非均匀瞬态温度场影响下波导色散曲线提取新方法

导波对环境和操作条件的敏感性，特别是温度波动，是该方法在实际工程应用中考虑的主要问题之一。本文的目的是针对受非均匀瞬态温度场影响的波导，提出一种新的色散曲线提取方法。从本质上讲，该方法基于一种简单而稳健的方法，包括对被测结构的代表性部分进行一系列模态分析。考虑温度的影响，提出了一种基于有限元法的热应力计算方法。这样，在不同波长下，通过求解一些热特征值问题，可以得到模态振型和相应的固有频率。为了验证色散曲线的理论热效应，在各向同性板上进行了实验。这些理论色散曲线仅由主导模组成，并与实验得到的色散曲线进行了比较。最后，利用该方法提取了考虑非均匀温度场的航空发动机机匣弥散曲线。研究结果不仅揭示了温度在不同频率范围内对兰姆波速度的影响，而且对非均匀瞬态温度场影响下波导色散曲线的提取也有帮助。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Computational Acoustics 物理-声学

CiteScore

3.90

自引率

0.00%

发文量

审稿时长

4.5 months

期刊介绍： Currently known as Journal of Theoretical and Computational Acoustics (JTCA).The aim of this journal is to provide an international forum for the dissemination of the state-of-the-art information in the field of Computational Acoustics. Topics covered by this journal include research and tutorial contributions in OCEAN ACOUSTICS (a subject of active research in relation with sonar detection and the design of noiseless ships), SEISMO-ACOUSTICS (of concern to earthquake science and engineering, and also to those doing underground prospection like searching for petroleum), AEROACOUSTICS (which includes the analysis of noise created by aircraft), COMPUTATIONAL METHODS, and SUPERCOMPUTING. In addition to the traditional issues and problems in computational methods, the journal also considers theoretical research acoustics papers which lead to large-scale scientific computations. The journal strives to be flexible in the type of high quality papers it publishes and their format. Equally desirable are Full papers, which should be complete and relatively self-contained original contributions with an introduction that can be understood by the broad computational acoustics community. Both rigorous and heuristic styles are acceptable. Of particular interest are papers about new areas of research in which other than strictly computational arguments may be important in establishing a basis for further developments. Tutorial review papers, covering some of the important issues in Computational Mathematical Methods, Scientific Computing, and their applications. Short notes, which present specific new results and techniques in a brief communication. The journal will occasionally publish significant contributions which are larger than the usual format for regular papers. Special issues which report results of high quality workshops in related areas and monographs of significant contributions in the Series of Computational Acoustics will also be published.