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Modeling and Dynamic Response of Bolted‐Flange‐Joined Conical–Cylindrical Shells.

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Title: Modeling and Dynamic Response of Bolted‐Flange‐Joined Conical–Cylindrical Shells.
Authors: Zhang, Chun Hao1 (AUTHOR), Xing, Wu Ce1,2 (AUTHOR), Wang, Yan Qing1,3 (AUTHOR) wangyanqing@mail.neu.edu.cn
Source: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. Jun2026, Vol. 106 Issue 6, p1-17. 17p.
Subjects: Bolted joints, Conical shells, Mechanical vibration research, Frequencies of oscillating systems, Stiffness (Engineering), Dynamic models, Euler-Bernoulli beam theory
Abstract: This paper develops a dynamic model for bolted‐flange‐joined conical‐cylindrical shells (BFJCCSs). The bolted flange joint is characterized by a lump model, which accounts for the impact of flange dimensions. The discontinuous arc constraint model simulates the real pressure pattern around bolts. The shells are modeled by Donnell's shell theory, while the flange is modeled by the Euler‐Bernoulli beam theory. The motion equations are derived using the Lagrange equations and solved with the Newmark‐beta method. Modal and forced vibration tests are conducted on the BFJCCS, and the theoretical model is verified by comparing with experimental results. The present model avoids the need for an extra experiment to recharacterize joint parameters when the flange size or material is changed. The results indicate that the reduction in the bolt number decreases both the structural stiffness and damping, resulting in an increase in the resonance peak. Increasing the flange dimensions augments the stiffness of the BFJCCS, leading to a higher resonance frequency and a lower resonance peak. The position of the flange near the free end of the BFJCCS increases the resonance frequency, and its position close to the fixed end decreases the resonance peak. The above results provide theoretical guidance for the vibration prediction and structural design of BFJCCSs. [ABSTRACT FROM AUTHOR]
Copyright of ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik is the property of Wiley-Blackwell 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:
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Header DbId: egs
DbLabel: Engineering Source
An: 194871298
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Modeling and Dynamic Response of Bolted‐Flange‐Joined Conical–Cylindrical Shells.
– Name: Author
  Label: Authors
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  Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Chun+Hao%22">Zhang, Chun Hao</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Xing%2C+Wu+Ce%22">Xing, Wu Ce</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Yan+Qing%22">Wang, Yan Qing</searchLink><relatesTo>1,3</relatesTo> (AUTHOR)<i> wangyanqing@mail.neu.edu.cn</i>
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– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Bolted+joints%22">Bolted joints</searchLink><br /><searchLink fieldCode="DE" term="%22Conical+shells%22">Conical shells</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+vibration+research%22">Mechanical vibration research</searchLink><br /><searchLink fieldCode="DE" term="%22Frequencies+of+oscillating+systems%22">Frequencies of oscillating systems</searchLink><br /><searchLink fieldCode="DE" term="%22Stiffness+%28Engineering%29%22">Stiffness (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamic+models%22">Dynamic models</searchLink><br /><searchLink fieldCode="DE" term="%22Euler-Bernoulli+beam+theory%22">Euler-Bernoulli beam theory</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper develops a dynamic model for bolted‐flange‐joined conical‐cylindrical shells (BFJCCSs). The bolted flange joint is characterized by a lump model, which accounts for the impact of flange dimensions. The discontinuous arc constraint model simulates the real pressure pattern around bolts. The shells are modeled by Donnell's shell theory, while the flange is modeled by the Euler‐Bernoulli beam theory. The motion equations are derived using the Lagrange equations and solved with the Newmark‐beta method. Modal and forced vibration tests are conducted on the BFJCCS, and the theoretical model is verified by comparing with experimental results. The present model avoids the need for an extra experiment to recharacterize joint parameters when the flange size or material is changed. The results indicate that the reduction in the bolt number decreases both the structural stiffness and damping, resulting in an increase in the resonance peak. Increasing the flange dimensions augments the stiffness of the BFJCCS, leading to a higher resonance frequency and a lower resonance peak. The position of the flange near the free end of the BFJCCS increases the resonance frequency, and its position close to the fixed end decreases the resonance peak. The above results provide theoretical guidance for the vibration prediction and structural design of BFJCCSs. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik is the property of Wiley-Blackwell 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.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1002/zamm.70501
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 17
        StartPage: 1
    Subjects:
      – SubjectFull: Bolted joints
        Type: general
      – SubjectFull: Conical shells
        Type: general
      – SubjectFull: Mechanical vibration research
        Type: general
      – SubjectFull: Frequencies of oscillating systems
        Type: general
      – SubjectFull: Stiffness (Engineering)
        Type: general
      – SubjectFull: Dynamic models
        Type: general
      – SubjectFull: Euler-Bernoulli beam theory
        Type: general
    Titles:
      – TitleFull: Modeling and Dynamic Response of Bolted‐Flange‐Joined Conical–Cylindrical Shells.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Zhang, Chun Hao
      – PersonEntity:
          Name:
            NameFull: Xing, Wu Ce
      – PersonEntity:
          Name:
            NameFull: Wang, Yan Qing
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 00442267
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              Value: 106
            – Type: issue
              Value: 6
          Titles:
            – TitleFull: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
              Type: main
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