Nevenka Kolarević, M. Nefovska-Danilović, M. Petronijević
{"title":"圆柱壳振动分析中的动刚度法","authors":"Nevenka Kolarević, M. Nefovska-Danilović, M. Petronijević","doi":"10.5937/GRMK1603045K","DOIUrl":null,"url":null,"abstract":"In this paper the dynamic stiffness method is used for free vibration analysis of a circular cylindrical shell. The dynamic stiffness matrix is formulated on the base of the exact solution for free vibration of a circular cylindrical shell according to the Flugge thin shell theory. The matrix is frequency dependent and, besides the stiffness, includes inertia and damping effects. The derived dynamic stiffness matrix is implemented in the code developed in a Matlab program for computing natural frequencies and mode shapes of a circular cylindrical shell. Several numerical examples are carried out. The obtained results are validated against the results obtained by using the commercial finite element program Abaqus as well as the available analytical solutions from the literature.","PeriodicalId":40707,"journal":{"name":"Gradevnski Materijiali I Konstrukcije-Building Materials and Structures","volume":"59 1","pages":"45-61"},"PeriodicalIF":0.5000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"Dynamic stiffness method in the vibration analysis of circular cylindrical shell\",\"authors\":\"Nevenka Kolarević, M. Nefovska-Danilović, M. Petronijević\",\"doi\":\"10.5937/GRMK1603045K\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper the dynamic stiffness method is used for free vibration analysis of a circular cylindrical shell. The dynamic stiffness matrix is formulated on the base of the exact solution for free vibration of a circular cylindrical shell according to the Flugge thin shell theory. The matrix is frequency dependent and, besides the stiffness, includes inertia and damping effects. The derived dynamic stiffness matrix is implemented in the code developed in a Matlab program for computing natural frequencies and mode shapes of a circular cylindrical shell. Several numerical examples are carried out. The obtained results are validated against the results obtained by using the commercial finite element program Abaqus as well as the available analytical solutions from the literature.\",\"PeriodicalId\":40707,\"journal\":{\"name\":\"Gradevnski Materijiali I Konstrukcije-Building Materials and Structures\",\"volume\":\"59 1\",\"pages\":\"45-61\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Gradevnski Materijiali I Konstrukcije-Building Materials and Structures\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5937/GRMK1603045K\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ENGINEERING, CIVIL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gradevnski Materijiali I Konstrukcije-Building Materials and Structures","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5937/GRMK1603045K","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
Dynamic stiffness method in the vibration analysis of circular cylindrical shell
In this paper the dynamic stiffness method is used for free vibration analysis of a circular cylindrical shell. The dynamic stiffness matrix is formulated on the base of the exact solution for free vibration of a circular cylindrical shell according to the Flugge thin shell theory. The matrix is frequency dependent and, besides the stiffness, includes inertia and damping effects. The derived dynamic stiffness matrix is implemented in the code developed in a Matlab program for computing natural frequencies and mode shapes of a circular cylindrical shell. Several numerical examples are carried out. The obtained results are validated against the results obtained by using the commercial finite element program Abaqus as well as the available analytical solutions from the literature.