Wei Shen , Gongye Zhang , Haiping Yin , Yu Cong , Shuitao Gu , Bin Yao
{"title":"A mesh based improved plane wave expansion method for complex 2-D phononic crystals","authors":"Wei Shen , Gongye Zhang , Haiping Yin , Yu Cong , Shuitao Gu , Bin Yao","doi":"10.1016/j.jsv.2025.119015","DOIUrl":null,"url":null,"abstract":"<div><div>This paper introduces a spectral method based on free triangular meshes, termed the mesh based improved plane wave expansion method (MIPWEM), aimed at simplifying the design and analysis of phononic crystals (PnCs) in complex scenarios. This method, built upon the improved plane wave expansion method (IPWEM) theoretical framework, incorporates free triangular meshes to approximate various complex geometries, significantly reducing the derivation costs associated with handling complex inclusions. By varying factors such as the number of plane waves and mesh generation, this paper investigates the computational efficiency of the proposed MIPWEM from different perspectives. Additionally, the method is successfully applied to compute cases with complex geometries. These results further validate the advantages of the new method in handling complex geometries, computational speed, and other aspects. The MIPWEM with superior efficiency, shows great potential for PnCs research in multiphysics and high-frequency applications.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"606 ","pages":"Article 119015"},"PeriodicalIF":4.3000,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Sound and Vibration","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022460X25000896","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper introduces a spectral method based on free triangular meshes, termed the mesh based improved plane wave expansion method (MIPWEM), aimed at simplifying the design and analysis of phononic crystals (PnCs) in complex scenarios. This method, built upon the improved plane wave expansion method (IPWEM) theoretical framework, incorporates free triangular meshes to approximate various complex geometries, significantly reducing the derivation costs associated with handling complex inclusions. By varying factors such as the number of plane waves and mesh generation, this paper investigates the computational efficiency of the proposed MIPWEM from different perspectives. Additionally, the method is successfully applied to compute cases with complex geometries. These results further validate the advantages of the new method in handling complex geometries, computational speed, and other aspects. The MIPWEM with superior efficiency, shows great potential for PnCs research in multiphysics and high-frequency applications.
期刊介绍:
The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application.
JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.