K.P. Popatrao , S. Kumar , K. Hemalatha , B.K. Mandal , S. Ahamad
{"title":"Effect of corrugation and rotation on SH wave propagation in an initially stressed functionally graded piezo-electric substrate","authors":"K.P. Popatrao , S. Kumar , K. Hemalatha , B.K. Mandal , S. Ahamad","doi":"10.1016/j.padiff.2024.100887","DOIUrl":null,"url":null,"abstract":"<div><p>A rotating system that includes an initially stressed piezo-electric substrate was the subject of an analytical study of the SH waves. The substrate and vacuum bonding are in good contact with the corrugation, and the top border is treated as stress-free corrugation. About the upper barrier that is both electrically open as well as electrically short scenarios are taken into consideration. Dispersion equations for circumstances with a corrugated interface that are both electrically short as well as electrically open have been found. The SH wave characteristics through the framework suggested and circumstances dependent on different geometrical and physical factors have been investigated based on the numerical findings. The study looks at the simultaneous simulated outcomes of a number of physical factors that were produced in Mathematica 7 and include rotation, inhomogeneity, phase velocity, initial stress, and corrugated interface of SH wave distribution in a structure under discussion. The model under examination has potential applications in the creation of surface acoustic wave devices.</p></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"11 ","pages":"Article 100887"},"PeriodicalIF":0.0000,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2666818124002730/pdfft?md5=597b8706b3e17a6e1c8edb0be232c4eb&pid=1-s2.0-S2666818124002730-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Partial Differential Equations in Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666818124002730","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
A rotating system that includes an initially stressed piezo-electric substrate was the subject of an analytical study of the SH waves. The substrate and vacuum bonding are in good contact with the corrugation, and the top border is treated as stress-free corrugation. About the upper barrier that is both electrically open as well as electrically short scenarios are taken into consideration. Dispersion equations for circumstances with a corrugated interface that are both electrically short as well as electrically open have been found. The SH wave characteristics through the framework suggested and circumstances dependent on different geometrical and physical factors have been investigated based on the numerical findings. The study looks at the simultaneous simulated outcomes of a number of physical factors that were produced in Mathematica 7 and include rotation, inhomogeneity, phase velocity, initial stress, and corrugated interface of SH wave distribution in a structure under discussion. The model under examination has potential applications in the creation of surface acoustic wave devices.
对包含初始应力压电基板的旋转系统进行了 SH 波分析研究。基底和真空键与波纹接触良好,上边界被视为无应力波纹。关于上阻挡层,既考虑了电开放的情况,也考虑了电短路的情况。找到了电短路和电开路波纹界面情况下的频散方程。根据数值结果,通过建议的框架和取决于不同几何和物理因素的情况,对 SH 波特性进行了研究。研究考察了在 Mathematica 7 中生成的一些物理因素的同步模拟结果,包括旋转、不均匀性、相速度、初始应力和波纹状界面的 SH 波在所讨论结构中的分布。所研究的模型在制造表面声波设备方面具有潜在的应用价值。