View in EDS

Vibration characteristics analysis of stepped thickness sectorial/annular plates using Chebyshev–Ritz method based on FSDT.

Saved in:
Bibliographic Details
Title: Vibration characteristics analysis of stepped thickness sectorial/annular plates using Chebyshev–Ritz method based on FSDT.
Authors: Zhao, Zhe1 (AUTHOR), Liang, Ran1 (AUTHOR), Gao, Cong1,2 (AUTHOR), Zou, Yucheng1 (AUTHOR) conggao@hrbeu.edu.cn, Pang, Fuzhen1 (AUTHOR), Li, Haichao1 (AUTHOR)
Source: Acta Mechanica. May2026, Vol. 237 Issue 5, p2195-2217. 23p.
Subjects: Rayleigh-Ritz method, Structural plates, Shear (Mechanics), Iterative methods (Mathematics), Mechanical vibration research, Finite element method
Abstract: This paper establishes a semi-analytical model to investigate the vibration characteristics of sectorial/annular structures with axially stepped thickness. The regional decomposition method and artificial spring technique are employed to construct the mathematical model of such sectorial/annular structures. The energy functional of the plate structure is established based on the first-order shear deformation theory, and five sets of artificial springs are used to simulate the continuity between different segments and the boundary conditions. The Rayleigh–Ritz method is adopted to solve the natural frequencies and mode shapes of the structure. The effectiveness of the proposed method is verified by comparing its results with those from the published literature and finite element method (FEM) calculations. Furthermore, the effects of boundary conditions, structural parameters and stepped thickness distribution on the free vibration characteristics of the sectorial/annular plates are systematically discussed, providing support for the dynamic analysis and vibration control of structures with stepped thickness. The research results show that both the increase in boundary conditions (stiffness) and regional impedance leads to an increase in natural frequencies, while the sector angle has the opposite effect; the radius ratio has no obvious regular influence on the vibration characteristics. [ABSTRACT FROM AUTHOR]
Copyright of Acta Mechanica 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 Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 193713625
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Vibration characteristics analysis of stepped thickness sectorial/annular plates using Chebyshev–Ritz method based on FSDT.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Zhao%2C+Zhe%22">Zhao, Zhe</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Liang%2C+Ran%22">Liang, Ran</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Gao%2C+Cong%22">Gao, Cong</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zou%2C+Yucheng%22">Zou, Yucheng</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> conggao@hrbeu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Pang%2C+Fuzhen%22">Pang, Fuzhen</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Li%2C+Haichao%22">Li, Haichao</searchLink><relatesTo>1</relatesTo> (AUTHOR)
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Acta+Mechanica%22">Acta Mechanica</searchLink>. May2026, Vol. 237 Issue 5, p2195-2217. 23p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Rayleigh-Ritz+method%22">Rayleigh-Ritz method</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+plates%22">Structural plates</searchLink><br /><searchLink fieldCode="DE" term="%22Shear+%28Mechanics%29%22">Shear (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+vibration+research%22">Mechanical vibration research</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper establishes a semi-analytical model to investigate the vibration characteristics of sectorial/annular structures with axially stepped thickness. The regional decomposition method and artificial spring technique are employed to construct the mathematical model of such sectorial/annular structures. The energy functional of the plate structure is established based on the first-order shear deformation theory, and five sets of artificial springs are used to simulate the continuity between different segments and the boundary conditions. The Rayleigh–Ritz method is adopted to solve the natural frequencies and mode shapes of the structure. The effectiveness of the proposed method is verified by comparing its results with those from the published literature and finite element method (FEM) calculations. Furthermore, the effects of boundary conditions, structural parameters and stepped thickness distribution on the free vibration characteristics of the sectorial/annular plates are systematically discussed, providing support for the dynamic analysis and vibration control of structures with stepped thickness. The research results show that both the increase in boundary conditions (stiffness) and regional impedance leads to an increase in natural frequencies, while the sector angle has the opposite effect; the radius ratio has no obvious regular influence on the vibration characteristics. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Acta Mechanica 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=193713625
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1007/s00707-025-04591-4
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 23
        StartPage: 2195
    Subjects:
      – SubjectFull: Rayleigh-Ritz method
        Type: general
      – SubjectFull: Structural plates
        Type: general
      – SubjectFull: Shear (Mechanics)
        Type: general
      – SubjectFull: Iterative methods (Mathematics)
        Type: general
      – SubjectFull: Mechanical vibration research
        Type: general
      – SubjectFull: Finite element method
        Type: general
    Titles:
      – TitleFull: Vibration characteristics analysis of stepped thickness sectorial/annular plates using Chebyshev–Ritz method based on FSDT.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Zhao, Zhe
      – PersonEntity:
          Name:
            NameFull: Liang, Ran
      – PersonEntity:
          Name:
            NameFull: Gao, Cong
      – PersonEntity:
          Name:
            NameFull: Zou, Yucheng
      – PersonEntity:
          Name:
            NameFull: Pang, Fuzhen
      – PersonEntity:
          Name:
            NameFull: Li, Haichao
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 00015970
          Numbering:
            – Type: volume
              Value: 237
            – Type: issue
              Value: 5
          Titles:
            – TitleFull: Acta Mechanica
              Type: main
ResultId 1