{"title":"Survey on modal frequencies of centrifugally stiffened beams","authors":"A. Bazoune","doi":"10.1177/0583102405056752","DOIUrl":null,"url":null,"abstract":"This survey is concerned with the problem of determining the dynamic modal characteristics (natural frequencies and associated mode shapes) of rotating beams. Modal characteristics are of paramount importance to the design and performance evaluation of rotating beams, and have been the subject of interest to many investigators. Accurate prediction of the dynamic characteristics of such structures is necessary in the early stages of the design process in order to avoid any possible conditions susceptible to resonance within the range of operating speed, and to prevent any failure that may occur because of sustained vibration at or near the resonant frequency range. While developing beam models, various parameters pertinent to the functional requirements were added in order to cope with aerodynamic issues as well as technical and economical issues. With all parameters present in the model, solving the problem becomes extremely complicated. An exact solution is almost impossible. Many simplified mathematical models with a variety of geometries and properties have been developed in the literature to investigate the dynamic characteristics of such rotating beams using a variety of methods.","PeriodicalId":405331,"journal":{"name":"The Shock and Vibration Digest","volume":"85 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"24","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Shock and Vibration Digest","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1177/0583102405056752","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 24
Abstract
This survey is concerned with the problem of determining the dynamic modal characteristics (natural frequencies and associated mode shapes) of rotating beams. Modal characteristics are of paramount importance to the design and performance evaluation of rotating beams, and have been the subject of interest to many investigators. Accurate prediction of the dynamic characteristics of such structures is necessary in the early stages of the design process in order to avoid any possible conditions susceptible to resonance within the range of operating speed, and to prevent any failure that may occur because of sustained vibration at or near the resonant frequency range. While developing beam models, various parameters pertinent to the functional requirements were added in order to cope with aerodynamic issues as well as technical and economical issues. With all parameters present in the model, solving the problem becomes extremely complicated. An exact solution is almost impossible. Many simplified mathematical models with a variety of geometries and properties have been developed in the literature to investigate the dynamic characteristics of such rotating beams using a variety of methods.