1D Numerical Study of Nonlinear Propagation of Finite Amplitude Waves in Traveling Wave Tubes with Varying Cross Section

IF 0.8 4区工程技术 Q4 ACOUSTICS

International Journal of Acoustics and Vibration Pub Date : 2020-03-30 DOI:10.20855/ijav.2020.25.11580

Zhineng Zhang, Ling Zheng, T. Yan, Yao Wu

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引用次数: 1

Abstract

The nonlinear acoustic problem of a finite amplitude plane wave propagating along the axial direction in a traveling wave tube is studied. Based on the one-dimensional Westervelt equation, a one-dimensional nonlinear wave equation is derived in which the cross section of the traveling wave tube is considered. The two-order finite difference scheme is used to solve the nonlinear wave equation. The nonlinear propagation characteristics of a finite amplitude wave in the traveling wave tube is analyzed. In the expanding transition section, the acoustic pressure amplitude of the acoustic wave decreases with the increase of the cross-sectional area of the pipeline. The nonlinear characteristics of the acoustic wave show waveform distortion and harmonic growth. The waveform distortion becomes more serious in the rear of traveling wave tube than in the front of the tube. Considering the acoustic reflection condition at the mouth, the influence of differently shaped diffusion sections on the acoustic pressure distribution in the test section is investigated. The larger the change rate of the diffusion section in an area, the less amplitude of the sound pressure, and the nonlinear effect of the sound wave propagation is weakened. These nonlinear wave propagation characteristics in a travelling wave tube provide important guidance for both designing a uniform sound pressure distribution in the test section and determining the optimal measuring points for different sizes of structures in spacecraft.

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变截面行波管中有限振幅波非线性传播的一维数值研究

研究了有限振幅平面波在行波管中沿轴向传播的非线性声学问题。在一维Westervelt方程的基础上，导出了考虑行波管截面的一维非线性波动方程。采用二阶有限差分格式求解非线性波动方程。分析了有限幅值波在行波管中的非线性传播特性。在膨胀过渡段，声波的声压幅值随着管道截面积的增大而减小。声波的非线性特性表现为波形畸变和谐波增长。行波管尾部的波形畸变比行波管前端的波形畸变更严重。考虑口部声反射条件，研究了不同形状扩散截面对试验段内声压分布的影响。区域内扩散截面变化率越大，声压幅值越小，声波传播的非线性效应减弱。这些非线性波在行波管中的传播特性对设计均匀的试验段声压分布和确定航天器不同尺寸结构的最佳测点具有重要的指导意义。

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

International Journal of Acoustics and Vibration ACOUSTICS-ENGINEERING, MECHANICAL

CiteScore

1.60

自引率

10.00%

发文量

审稿时长

12 months

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