{"title":"周期性放置压电传感器和执行器的薄壁单对称元梁中的波传播","authors":"Arindam Das , Kamal K. Bera , Arnab Banerjee","doi":"10.1016/j.physleta.2025.130607","DOIUrl":null,"url":null,"abstract":"<div><div>This paper introduces a novel method to generate an attenuation band in a thin-walled mono-symmetric metabeam by periodically attaching piezoelectric patches serving as sensors and actuators. The periodic configuration enables the creation of a subwavelength attenuation band. Using Hamilton's principle, equations of motion for a unit cell with piezoelectric patches are derived. The dispersion characteristics are analyzed through the transfer matrix and Bloch-Floquet theorem, while modal frequencies are validated against finite-element results. Dispersion plots and the transmittance spectrum confirm the formation of band gaps where beam responses are suppressed. A parametric study explores the influence of the geometric properties of the system on attenuation bands. The results demonstrate the potential for achieving a low-frequency band gap, highlighting its applicability in vibration attenuation and acoustic control.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"551 ","pages":"Article 130607"},"PeriodicalIF":2.3000,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Wave propagation in thin-walled mono-symmetric metabeam with periodically placed piezoelectric sensor and actuator\",\"authors\":\"Arindam Das , Kamal K. Bera , Arnab Banerjee\",\"doi\":\"10.1016/j.physleta.2025.130607\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper introduces a novel method to generate an attenuation band in a thin-walled mono-symmetric metabeam by periodically attaching piezoelectric patches serving as sensors and actuators. The periodic configuration enables the creation of a subwavelength attenuation band. Using Hamilton's principle, equations of motion for a unit cell with piezoelectric patches are derived. The dispersion characteristics are analyzed through the transfer matrix and Bloch-Floquet theorem, while modal frequencies are validated against finite-element results. Dispersion plots and the transmittance spectrum confirm the formation of band gaps where beam responses are suppressed. A parametric study explores the influence of the geometric properties of the system on attenuation bands. The results demonstrate the potential for achieving a low-frequency band gap, highlighting its applicability in vibration attenuation and acoustic control.</div></div>\",\"PeriodicalId\":20172,\"journal\":{\"name\":\"Physics Letters A\",\"volume\":\"551 \",\"pages\":\"Article 130607\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2025-05-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics Letters A\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0375960125003871\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0375960125003871","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Wave propagation in thin-walled mono-symmetric metabeam with periodically placed piezoelectric sensor and actuator
This paper introduces a novel method to generate an attenuation band in a thin-walled mono-symmetric metabeam by periodically attaching piezoelectric patches serving as sensors and actuators. The periodic configuration enables the creation of a subwavelength attenuation band. Using Hamilton's principle, equations of motion for a unit cell with piezoelectric patches are derived. The dispersion characteristics are analyzed through the transfer matrix and Bloch-Floquet theorem, while modal frequencies are validated against finite-element results. Dispersion plots and the transmittance spectrum confirm the formation of band gaps where beam responses are suppressed. A parametric study explores the influence of the geometric properties of the system on attenuation bands. The results demonstrate the potential for achieving a low-frequency band gap, highlighting its applicability in vibration attenuation and acoustic control.
期刊介绍:
Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.