Related Experiment Video
Updated: Dec 31, 2025

Author Spotlight: Computing the Effects of a Local Radiofrequency Hyperthermia Intervention on Tumor Biomechanics
Published on: December 1, 2023
Boundary integral equations for sound radiation from a harmonically vibrating body moving uniformly in a free space
Xiaozhen Sheng1, Yuhao Peng1, Xinbiao Xiao1
1State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu, Sichuan 610031, China.
Abstract:
In this high-speed transit era, the prediction of sound radiation from a moving and vibrating object is an important research topic. A typical example is a high-speed train wheel that not only moves fast in the railway direction but, due to wheel/rail interaction, also vibrates at high frequency, generating a complex sound field. By making use of sound spectra generated by moving harmonic compact sources, three-dimensional (3D) boundary integral equations are established in this paper for sound radiation from a harmonically vibrating body moving uniformly in a free space. The 3D boundary integral equations are reduced to 2D ones for a special case in which the body is axisymmetric and moves in its axial direction. The 2D boundary element method is applied to solve the 2D boundary integral equations and to produce results for a pulsating and moving sphere. Results show that the moving speed of the pulsating sphere has a significant effect on the generated sound field. This means that, for sounds radiated from a high-speed train wheel vibro-acoustically, the motion of the wheel has to be taken into account.
Related Concept Videos
Sound as Pressure Waves
The pressure fluctuation depends on the difference in displacements between the successive points in the...
Deriving the Speed of Sound in a Liquid
The speed of sound in fluids can be derived by considering a mechanical wave...
Modes of Standing Waves: II
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end....
Equations of Wave Motion
Electrostatic Boundary Conditions
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
Plane Electromagnetic Waves I
The EM field is assumed to be a...

