View in EDS PDF Full Text

Free Vibration Analysis of a Uniform Continuous Beam with an Arbitrary Number of Cracks and Spring-Mass Systems.

Saved in:
Bibliographic Details
Title: Free Vibration Analysis of a Uniform Continuous Beam with an Arbitrary Number of Cracks and Spring-Mass Systems.
Authors: Tan, Guojin1, Zhu, Zhiqing1, Wang, Wensheng1, Cheng, Yongchun1 chengyc@jlu.edu.cn
Source: Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. ). Sep2018, Vol. 43 Issue 9, p4619-4634. 16p.
Subjects: Free vibration, Continuous beams (Structural engineering), Fracture mechanics
Abstract: This paper presents a method on free vibration analysis of a uniform continuous beam with an arbitrary number of cracks and spring-mass systems and a damage identification algorithm. Firstly, based on an equivalent model of a single-span beam obtained by using fictitious cracks or fictitious spring-mass systems, mode shape functions of a single-span uniform beam are derived according to fundamental solutions and recurrence formulas. Next, the motion equations and compatibility conditions of spring-mass system at intermediate supports are used to establish the characteristic equation of continuous beam with an arbitrary number of cracks and spring-mass systems. The order of determinant for the characteristic equation is lower, and that of m-spans continuous beam with an arbitrary number of cracks and T spring-mass systems is only 3m+T-1. Then, according to the formed free vibration analysis method, a damage identification algorithm for the uniform continuous beam with an arbitrary number of cracks and spring-mass systems is presented. This algorithm only utilizes the first-order mode to identify crack position and depth. Finally, the results of this paper are compared with those of the finite element method and other existing references to validate the proposed method. The effects of parameters for cracks and spring-mass systems on natural frequencies of continuous beams are studied. Inverse problem examples of a three-span cracked continuous beam carrying one spring-mass system are also discussed. [ABSTRACT FROM AUTHOR]
Copyright of Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. ) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Links:
  – Type: pdflink
Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 131168940
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Free Vibration Analysis of a Uniform Continuous Beam with an Arbitrary Number of Cracks and Spring-Mass Systems.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Tan%2C+Guojin%22">Tan, Guojin</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Zhu%2C+Zhiqing%22">Zhu, Zhiqing</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Wang%2C+Wensheng%22">Wang, Wensheng</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Cheng%2C+Yongchun%22">Cheng, Yongchun</searchLink><relatesTo>1</relatesTo><i> chengyc@jlu.edu.cn</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Arabian+Journal+for+Science+%26+Engineering+%28Springer+Science+%26+Business+Media+B%2EV%2E+%29%22">Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. )</searchLink>. Sep2018, Vol. 43 Issue 9, p4619-4634. 16p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Free+vibration%22">Free vibration</searchLink><br /><searchLink fieldCode="DE" term="%22Continuous+beams+%28Structural+engineering%29%22">Continuous beams (Structural engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Fracture+mechanics%22">Fracture mechanics</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper presents a method on free vibration analysis of a uniform continuous beam with an arbitrary number of cracks and spring-mass systems and a damage identification algorithm. Firstly, based on an equivalent model of a single-span beam obtained by using fictitious cracks or fictitious spring-mass systems, mode shape functions of a single-span uniform beam are derived according to fundamental solutions and recurrence formulas. Next, the motion equations and compatibility conditions of spring-mass system at intermediate supports are used to establish the characteristic equation of continuous beam with an arbitrary number of cracks and spring-mass systems. The order of determinant for the characteristic equation is lower, and that of m-spans continuous beam with an arbitrary number of cracks and T spring-mass systems is only 3m+T-1<inline-graphic></inline-graphic>. Then, according to the formed free vibration analysis method, a damage identification algorithm for the uniform continuous beam with an arbitrary number of cracks and spring-mass systems is presented. This algorithm only utilizes the first-order mode to identify crack position and depth. Finally, the results of this paper are compared with those of the finite element method and other existing references to validate the proposed method. The effects of parameters for cracks and spring-mass systems on natural frequencies of continuous beams are studied. Inverse problem examples of a three-span cracked continuous beam carrying one spring-mass system are also discussed. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. ) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=131168940
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1007/s13369-017-2933-0
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 16
        StartPage: 4619
    Subjects:
      – SubjectFull: Free vibration
        Type: general
      – SubjectFull: Continuous beams (Structural engineering)
        Type: general
      – SubjectFull: Fracture mechanics
        Type: general
    Titles:
      – TitleFull: Free Vibration Analysis of a Uniform Continuous Beam with an Arbitrary Number of Cracks and Spring-Mass Systems.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Tan, Guojin
      – PersonEntity:
          Name:
            NameFull: Zhu, Zhiqing
      – PersonEntity:
          Name:
            NameFull: Wang, Wensheng
      – PersonEntity:
          Name:
            NameFull: Cheng, Yongchun
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 09
              Text: Sep2018
              Type: published
              Y: 2018
          Identifiers:
            – Type: issn-print
              Value: 2193567X
          Numbering:
            – Type: volume
              Value: 43
            – Type: issue
              Value: 9
          Titles:
            – TitleFull: Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. )
              Type: main
ResultId 1