{"title":"Extracting Eigenvalues and Eigenvectors Technique","authors":"","doi":"10.4018/978-1-7998-4399-3.ch006","DOIUrl":null,"url":null,"abstract":"In the process of solving dynamics problems at a given stage, one needs to have the dynamic characteristic of the structure in order to be able to push the calculation (resolution). Further, these characteristics are the eigenvalues and eigenvectors. In this chapter, some important points are dealt with, namely problem with standard eigenvalues, property of eigenvalues and eigenvectors, Rayleigh quotient, offset of eigenvalues, and different methods for extracting eigenvalues and eigenvectors are presented. At the end, some examples are exposed.","PeriodicalId":426057,"journal":{"name":"Structural Dynamics and Static Nonlinear Analysis From Theory to Application","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Structural Dynamics and Static Nonlinear Analysis From Theory to Application","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4018/978-1-7998-4399-3.ch006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In the process of solving dynamics problems at a given stage, one needs to have the dynamic characteristic of the structure in order to be able to push the calculation (resolution). Further, these characteristics are the eigenvalues and eigenvectors. In this chapter, some important points are dealt with, namely problem with standard eigenvalues, property of eigenvalues and eigenvectors, Rayleigh quotient, offset of eigenvalues, and different methods for extracting eigenvalues and eigenvectors are presented. At the end, some examples are exposed.