{"title":"The periodic acoustic boundary element method for modelling sound field generated by an infinitely long periodic structure","authors":"","doi":"10.1016/j.enganabound.2024.105915","DOIUrl":null,"url":null,"abstract":"<div><p>Prediction of sound field generated by an infinitely long periodic structure is often required in engineering. One of the examples is the sound field created by vibration of the rail of a slab railway track, of which the radiating and scattering boundaries are periodic in the track direction due to the rail fasteners. To provide a proper computational tool for such problems, we develop the periodic acoustic boundary element method (PABEM) which only requires a three-dimensional (3D) boundary element mesh for a single cell. The development of the PABEM involves Floquet-transformation of the acoustic boundary integral equation of the infinite periodic structure, exploration of the Floquet-transformed Green's functions, and solution of the boundary integral equation using the boundary element method (BEM). Although the last step is largely the same as the conventional BEM, differences do exist and need to be carefully treated. Special attentions are given to the singularities of the Floquet-transformed Green's functions and to the numerical treatment of such singularities. The PABEM is shown to be directly applicable to sound radiation from a propagating vibration wave in an infinite periodic structure. This makes the PABEM useful for railway noise study since the response of the rail is often expressed as the sum of propagating waves at particular wavenumbers.</p></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":null,"pages":null},"PeriodicalIF":4.2000,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Analysis with Boundary Elements","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0955799724003898","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Prediction of sound field generated by an infinitely long periodic structure is often required in engineering. One of the examples is the sound field created by vibration of the rail of a slab railway track, of which the radiating and scattering boundaries are periodic in the track direction due to the rail fasteners. To provide a proper computational tool for such problems, we develop the periodic acoustic boundary element method (PABEM) which only requires a three-dimensional (3D) boundary element mesh for a single cell. The development of the PABEM involves Floquet-transformation of the acoustic boundary integral equation of the infinite periodic structure, exploration of the Floquet-transformed Green's functions, and solution of the boundary integral equation using the boundary element method (BEM). Although the last step is largely the same as the conventional BEM, differences do exist and need to be carefully treated. Special attentions are given to the singularities of the Floquet-transformed Green's functions and to the numerical treatment of such singularities. The PABEM is shown to be directly applicable to sound radiation from a propagating vibration wave in an infinite periodic structure. This makes the PABEM useful for railway noise study since the response of the rail is often expressed as the sum of propagating waves at particular wavenumbers.
期刊介绍:
This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods.
Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness.
The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields.
In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research.
The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods
Fields Covered:
• Boundary Element Methods (BEM)
• Mesh Reduction Methods (MRM)
• Meshless Methods
• Integral Equations
• Applications of BEM/MRM in Engineering
• Numerical Methods related to BEM/MRM
• Computational Techniques
• Combination of Different Methods
• Advanced Formulations.