Dynamic Modeling and Experimental Study of a Hyperelastic Cylindrical Shell for Vibration Reduction Using a History-Driven Incremental Iteration Method.

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Title: Dynamic Modeling and Experimental Study of a Hyperelastic Cylindrical Shell for Vibration Reduction Using a History-Driven Incremental Iteration Method.
Authors: Liu, Zedong1,2 (AUTHOR), Yang, Chengliang1,2 (AUTHOR) chengliangyang@ciomp.ac.cn, Su, Ping1 (AUTHOR), Peng, Zenghui1,2 (AUTHOR), Liu, Yonggang1,2 (AUTHOR), Wang, Qidong1,2 (AUTHOR), Diao, Zhihui1,2 (AUTHOR), Li, Dayu1,2 (AUTHOR), Jiang, Yang1,2 (AUTHOR), Lu, Xinghai1 (AUTHOR), Mu, Quanquan1,2 (AUTHOR) muquanquan@ciomp.ac.cn
Source: International Journal of Structural Stability & Dynamics. 5/15/2026, Vol. 26 Issue 10, p1-22. 22p.
Subjects: Cylindrical shells, Dynamic stiffness, Frequency response, Dynamic models, Vibration (Mechanics), Vibration isolation, Damping (Mechanics), Iterative methods (Mathematics)
Abstract: This paper presents an equivalent mechanical model for hyperelastic cylindrical shell (HCS) structures, developed using a history-driven incremental iteration method to clarify the influence of external excitation on their frequency response function under dynamic loading. The approach, grounded in the conventional linear vibration mechanics framework, iteratively integrates dynamic characteristic changes resulting from unit deformations along their historical evolution, thereby transforming continuous nonlinear variations into discrete linear increments. In combination with a sine-sweep vibration experiment, the variation trends of equivalent dynamic stiffness and damping with displacement amplitude at different excitation levels were determined, clarifying the excitation-induced mechanisms affecting the frequency response of HCS structures. The results showed that, under resonance conditions, increasing the excitation amplitude from 1.5 g to 3.5 g raised the displacement amplitude from 0.84 mm to 3.08 mm. Concurrently, the equivalent dynamic stiffness decreased from 4.38 kN/m to 2.86 kN/m, while the equivalent dynamic damping decreased from 3. 1 5 N ⋅ s / m to 2. 7 1 N ⋅ s / m. This reduction in stiffness and damping caused the HCS structure to enter resonance and vibration–isolation states earlier, completing the phase transition within a narrower frequency range in the sharp phase-transition region. Clarifying these mechanisms promotes a shift in hyperelastic shell design from empirical trial-and-error methods to model-driven approaches, thereby supporting the broader application of hyperelastic shell structures in vibration engineering. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Structural Stability & Dynamics is the property of World Scientific Publishing Company 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.)
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  Label: Title
  Group: Ti
  Data: Dynamic Modeling and Experimental Study of a Hyperelastic Cylindrical Shell for Vibration Reduction Using a History-Driven Incremental Iteration Method.
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  Data: <searchLink fieldCode="AR" term="%22Liu%2C+Zedong%22">Liu, Zedong</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yang%2C+Chengliang%22">Yang, Chengliang</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> chengliangyang@ciomp.ac.cn</i><br /><searchLink fieldCode="AR" term="%22Su%2C+Ping%22">Su, Ping</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Peng%2C+Zenghui%22">Peng, Zenghui</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Liu%2C+Yonggang%22">Liu, Yonggang</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Qidong%22">Wang, Qidong</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Diao%2C+Zhihui%22">Diao, Zhihui</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Li%2C+Dayu%22">Li, Dayu</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Jiang%2C+Yang%22">Jiang, Yang</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lu%2C+Xinghai%22">Lu, Xinghai</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Mu%2C+Quanquan%22">Mu, Quanquan</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> muquanquan@ciomp.ac.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Structural+Stability+%26+Dynamics%22">International Journal of Structural Stability & Dynamics</searchLink>. 5/15/2026, Vol. 26 Issue 10, p1-22. 22p.
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  Data: <searchLink fieldCode="DE" term="%22Cylindrical+shells%22">Cylindrical shells</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamic+stiffness%22">Dynamic stiffness</searchLink><br /><searchLink fieldCode="DE" term="%22Frequency+response%22">Frequency response</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamic+models%22">Dynamic models</searchLink><br /><searchLink fieldCode="DE" term="%22Vibration+%28Mechanics%29%22">Vibration (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Vibration+isolation%22">Vibration isolation</searchLink><br /><searchLink fieldCode="DE" term="%22Damping+%28Mechanics%29%22">Damping (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper presents an equivalent mechanical model for hyperelastic cylindrical shell (HCS) structures, developed using a history-driven incremental iteration method to clarify the influence of external excitation on their frequency response function under dynamic loading. The approach, grounded in the conventional linear vibration mechanics framework, iteratively integrates dynamic characteristic changes resulting from unit deformations along their historical evolution, thereby transforming continuous nonlinear variations into discrete linear increments. In combination with a sine-sweep vibration experiment, the variation trends of equivalent dynamic stiffness and damping with displacement amplitude at different excitation levels were determined, clarifying the excitation-induced mechanisms affecting the frequency response of HCS structures. The results showed that, under resonance conditions, increasing the excitation amplitude from 1.5 g to 3.5 g raised the displacement amplitude from 0.84 mm to 3.08 mm. Concurrently, the equivalent dynamic stiffness decreased from 4.38 kN/m to 2.86 kN/m, while the equivalent dynamic damping decreased from 3. 1 5 N ⋅ s / m to 2. 7 1 N ⋅ s / m. This reduction in stiffness and damping caused the HCS structure to enter resonance and vibration–isolation states earlier, completing the phase transition within a narrower frequency range in the sharp phase-transition region. Clarifying these mechanisms promotes a shift in hyperelastic shell design from empirical trial-and-error methods to model-driven approaches, thereby supporting the broader application of hyperelastic shell structures in vibration engineering. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Structural Stability & Dynamics is the property of World Scientific Publishing Company 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:
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    Identifiers:
      – Type: doi
        Value: 10.1142/S0219455427502877
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 22
        StartPage: 1
    Subjects:
      – SubjectFull: Cylindrical shells
        Type: general
      – SubjectFull: Dynamic stiffness
        Type: general
      – SubjectFull: Frequency response
        Type: general
      – SubjectFull: Dynamic models
        Type: general
      – SubjectFull: Vibration (Mechanics)
        Type: general
      – SubjectFull: Vibration isolation
        Type: general
      – SubjectFull: Damping (Mechanics)
        Type: general
      – SubjectFull: Iterative methods (Mathematics)
        Type: general
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      – TitleFull: Dynamic Modeling and Experimental Study of a Hyperelastic Cylindrical Shell for Vibration Reduction Using a History-Driven Incremental Iteration Method.
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            NameFull: Liu, Zedong
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            – D: 15
              M: 05
              Text: 5/15/2026
              Type: published
              Y: 2026
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