{"title":"压电梁扭转刚度的两个定理","authors":"I. Ecsedi, Á. Lengyel","doi":"10.32973/jcam.2022.003","DOIUrl":null,"url":null,"abstract":"In this paper two inequalities are presented for the torsional rigidity of homogeneous monoclinic piezoelectric beams. All results of the paper are based on the Saint-Venant theory of uniform torsion. The cross section of the considered elastic and piezoelectric beams may be simply connected or multiply connected two-dimensional bounded plane domain. Examples illustrate the proven inequality relations.","PeriodicalId":47168,"journal":{"name":"Journal of Applied and Computational Mechanics","volume":"18 1","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Two Theorems on the Torsional Rigidity of Piezoelectric Beams\",\"authors\":\"I. Ecsedi, Á. Lengyel\",\"doi\":\"10.32973/jcam.2022.003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper two inequalities are presented for the torsional rigidity of homogeneous monoclinic piezoelectric beams. All results of the paper are based on the Saint-Venant theory of uniform torsion. The cross section of the considered elastic and piezoelectric beams may be simply connected or multiply connected two-dimensional bounded plane domain. Examples illustrate the proven inequality relations.\",\"PeriodicalId\":47168,\"journal\":{\"name\":\"Journal of Applied and Computational Mechanics\",\"volume\":\"18 1\",\"pages\":\"\"},\"PeriodicalIF\":2.8000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied and Computational Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.32973/jcam.2022.003\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Computational Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32973/jcam.2022.003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
Two Theorems on the Torsional Rigidity of Piezoelectric Beams
In this paper two inequalities are presented for the torsional rigidity of homogeneous monoclinic piezoelectric beams. All results of the paper are based on the Saint-Venant theory of uniform torsion. The cross section of the considered elastic and piezoelectric beams may be simply connected or multiply connected two-dimensional bounded plane domain. Examples illustrate the proven inequality relations.
期刊介绍:
The Journal of Applied and Computational Mechanics aims to provide a medium for dissemination of innovative and consequential papers on mathematical and computational methods in theoretical as well as applied mechanics. Manuscripts submitted to the journal undergo a blind peer reviewing procedure conducted by the editorial board. The Journal of Applied and Computational Mechanics devoted to the all fields of solid and fluid mechanics. The journal also welcomes papers that are related to the recent technological advances such as biomechanics, electro-mechanics, advanced materials and micor/nano-mechanics. The scope of the journal includes, but is not limited to, the following topic areas: -Theoretical and experimental mechanics- Dynamic systems & control- Nonlinear dynamics and chaos- Boundary layer theory- Turbulence and hydrodynamic stability- Multiphase flows- Heat and mass transfer- Micro/Nano-mechanics- Structural optimization- Smart materials and applications- Composite materials- Hydro- and aerodynamics- Fluid-structure interaction- Gas dynamics