{"title":"基于 FSDT 的雅各比-里兹法对具有一般边界条件的功能分级圆柱壳进行动态分析","authors":"","doi":"10.1016/j.compstruc.2024.107552","DOIUrl":null,"url":null,"abstract":"<div><div>This study introduces the vibration behavior of uniform functionally graded (FG) cylindrical shells by Jacobi-Ritz method. The first-order shear deformation theory (FSDT) and domain decomposition method (DDM) are used to establish the theoretical model. The complex constraint of FG cylindrical shells is realized by using artificial springs. The Jacobi orthogonal polynomials combined with Fourier series can be expanded to denote the admissible displacement field of the structure. Finally, the Rayleigh-Ritz method has been adopted to solve the behavior of free vibration and forced vibration. The transient vibration behavior of FG cylindrical shells is solved in accordance with Newmark-<em>β</em> integration method. For verify the validity of Jacobi-Ritz method, the convergence study is carried out, and the calculation results of FG cylindrical shells with various influencing factors such as boundary conditions, material parameters, excitation load forms and geometric dimensions are given, and the FEM results and published literature are compared. The computation show that the method has high precision and can supply theoretical basis for vibration control of FG cylindrical shell. <span><span>This study introduces the vibration behavior of uniform functionally graded (FG) cylindrical shells by Jacobi-Ritz method. The first-order shear deformation theory (FSDT) and domain decomposition method (DDM) are used to establish the theoretical model. The complex constraint of FG cylindrical shells is realized by using artificial springs. The Jacobi orthogonal polynomials combined with<!--> </span><svg><path></path></svg></span>Fourier series can be expanded to denote the admissible displacement field of the structure. Finally, the Rayleigh-Ritz method has been adopted to solve the behavior of free vibration and forced vibration. The transient vibration behavior of FG cylindrical shells is solved in accordance with Newmark-<em>β</em> <!-->integration method. For verify the validity of Jacobi-Ritz method, the convergence study is carried out, and the calculation results of FG cylindrical shells with various influencing factors such as boundary conditions, material parameters, excitation load forms and geometric dimensions are given, and the FEM results and published literature are compared. The computation show that the method has high precision and can supply theoretical basis for vibration control of FG cylindrical shell.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":null,"pages":null},"PeriodicalIF":4.4000,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Jacobi-Ritz method for dynamic analysis of functionally graded cylindrical shell with general boundary conditions based on FSDT\",\"authors\":\"\",\"doi\":\"10.1016/j.compstruc.2024.107552\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This study introduces the vibration behavior of uniform functionally graded (FG) cylindrical shells by Jacobi-Ritz method. The first-order shear deformation theory (FSDT) and domain decomposition method (DDM) are used to establish the theoretical model. The complex constraint of FG cylindrical shells is realized by using artificial springs. The Jacobi orthogonal polynomials combined with Fourier series can be expanded to denote the admissible displacement field of the structure. Finally, the Rayleigh-Ritz method has been adopted to solve the behavior of free vibration and forced vibration. The transient vibration behavior of FG cylindrical shells is solved in accordance with Newmark-<em>β</em> integration method. For verify the validity of Jacobi-Ritz method, the convergence study is carried out, and the calculation results of FG cylindrical shells with various influencing factors such as boundary conditions, material parameters, excitation load forms and geometric dimensions are given, and the FEM results and published literature are compared. The computation show that the method has high precision and can supply theoretical basis for vibration control of FG cylindrical shell. <span><span>This study introduces the vibration behavior of uniform functionally graded (FG) cylindrical shells by Jacobi-Ritz method. The first-order shear deformation theory (FSDT) and domain decomposition method (DDM) are used to establish the theoretical model. The complex constraint of FG cylindrical shells is realized by using artificial springs. The Jacobi orthogonal polynomials combined with<!--> </span><svg><path></path></svg></span>Fourier series can be expanded to denote the admissible displacement field of the structure. Finally, the Rayleigh-Ritz method has been adopted to solve the behavior of free vibration and forced vibration. The transient vibration behavior of FG cylindrical shells is solved in accordance with Newmark-<em>β</em> <!-->integration method. For verify the validity of Jacobi-Ritz method, the convergence study is carried out, and the calculation results of FG cylindrical shells with various influencing factors such as boundary conditions, material parameters, excitation load forms and geometric dimensions are given, and the FEM results and published literature are compared. The computation show that the method has high precision and can supply theoretical basis for vibration control of FG cylindrical shell.</div></div>\",\"PeriodicalId\":50626,\"journal\":{\"name\":\"Computers & Structures\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.4000,\"publicationDate\":\"2024-09-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computers & Structures\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0045794924002815\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computers & Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0045794924002815","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
Jacobi-Ritz method for dynamic analysis of functionally graded cylindrical shell with general boundary conditions based on FSDT
This study introduces the vibration behavior of uniform functionally graded (FG) cylindrical shells by Jacobi-Ritz method. The first-order shear deformation theory (FSDT) and domain decomposition method (DDM) are used to establish the theoretical model. The complex constraint of FG cylindrical shells is realized by using artificial springs. The Jacobi orthogonal polynomials combined with Fourier series can be expanded to denote the admissible displacement field of the structure. Finally, the Rayleigh-Ritz method has been adopted to solve the behavior of free vibration and forced vibration. The transient vibration behavior of FG cylindrical shells is solved in accordance with Newmark-β integration method. For verify the validity of Jacobi-Ritz method, the convergence study is carried out, and the calculation results of FG cylindrical shells with various influencing factors such as boundary conditions, material parameters, excitation load forms and geometric dimensions are given, and the FEM results and published literature are compared. The computation show that the method has high precision and can supply theoretical basis for vibration control of FG cylindrical shell. This study introduces the vibration behavior of uniform functionally graded (FG) cylindrical shells by Jacobi-Ritz method. The first-order shear deformation theory (FSDT) and domain decomposition method (DDM) are used to establish the theoretical model. The complex constraint of FG cylindrical shells is realized by using artificial springs. The Jacobi orthogonal polynomials combined with Fourier series can be expanded to denote the admissible displacement field of the structure. Finally, the Rayleigh-Ritz method has been adopted to solve the behavior of free vibration and forced vibration. The transient vibration behavior of FG cylindrical shells is solved in accordance with Newmark-β integration method. For verify the validity of Jacobi-Ritz method, the convergence study is carried out, and the calculation results of FG cylindrical shells with various influencing factors such as boundary conditions, material parameters, excitation load forms and geometric dimensions are given, and the FEM results and published literature are compared. The computation show that the method has high precision and can supply theoretical basis for vibration control of FG cylindrical shell.
期刊介绍:
Computers & Structures publishes advances in the development and use of computational methods for the solution of problems in engineering and the sciences. The range of appropriate contributions is wide, and includes papers on establishing appropriate mathematical models and their numerical solution in all areas of mechanics. The journal also includes articles that present a substantial review of a field in the topics of the journal.