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第 37 卷 第 6 期                                                                        Vol. 37, No.6
             2018 年 11 月                         Journal of Applied Acoustics                 November, 2018


             ⋄ 研究报告 ⋄



                         充水黏弹性管道的频散曲线计算分析                                                      ∗





                                              刘 泽 陶 猛           †   陈文清


                                               (贵州大学机械工程学院       贵阳   550025)

                摘要    针对谱方法分析计算充水黏弹性管道的广义特征值问题，根据 Chebyshev 多项式及微分矩阵、位移和
                应力连续条件，将波动方程离散为相应的线性方程。利用 MATLAB 数值编程计算充水弹性和黏弹性管道对
                应频率下的轴对称纵向导波频散曲线和衰减曲线。分析表明，波在黏弹性管道中传播不仅具有衰减特性，而且
                由于水和黏弹性壳体交叉耦合作用，在一定频率范围内产生两种截断模态。
                关键词 谱方法，充水黏弹性管道，频散曲线，衰减曲线
                中图法分类号: TB559           文献标识码: A          文章编号: 1000-310X(2018)06-0867-07
                DOI: 10.11684/j.issn.1000-310X.2018.06.006





                Calculation and analysis of dispersion curve of water-filled viscoelastic tube




                                          LIU Ze    TAO Meng     CHEN Wenqing

                               (School of Mechanical Engineering, Guizhou University, Guiyang 550025, China)

                 Abstract  Based on the spectral method and calculation of the generalized eigenvalue problem of water-
                 filled viscoelastic tube, the wave equation is discretized into the corresponding linear equation according to
                 the Chebyshev polynomial and differential matrix, displacement and stress continuous conditions. By using
                 MATLAB numerical solution, the dispersions and decay curves of axial symmetric longitudinal guided waves
                 under water-filled elastic and viscoelastic tubes were calculated respectively. The analysis shows that the
                 wave propagation in the viscoelastic tube not only has the attenuation characteristics, but also produces
                 two discontinuous modes in a certain frequency range, due to the cross-coupling between the water and the
                 viscoelastic shell.
                 Key words Spectral method, Water-filled viscoelastic tube, Dispersion curve, Attenuation curve













             2018-02-02 收稿; 2018-05-01 定稿
             贵州省高层次创新型人才培养项目 (黔科合人才 [2016]4033 号), 贵州大学研究生创新基金项目 (2017051)
             ∗
             作者简介: 刘泽 (1992- ), 男, 山东枣庄人, 硕士研究生, 研究方向: 管道导波无损检测。
             †  通讯作者 E-mail: tomn_in@163.com
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