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Transversal vibration of a multi-span axially moving beam with multiple elastic supports.

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Title: Transversal vibration of a multi-span axially moving beam with multiple elastic supports.
Authors: Wang, Pingxin1,2 (AUTHOR), Rui, Xiaoting1,2 (AUTHOR), Wang, Guoping1,2 (AUTHOR), Jiang, Min1,2 (AUTHOR) jm_anhui@163.com, Gu, Junjie1,2 (AUTHOR), Zhang, Jianshu1,2 (AUTHOR)
Source: Journal of Vibration & Control. Jun2026, Vol. 32 Issue 11/12, p2795-2805. 11p.
Subjects: Transfer matrix, Boundary value problems, Vibration (Mechanics), Vibration absorbers
Abstract: Using the transfer matrix method for multibody systems (MSTMM), this paper presents a dynamical model of a multi-span axially moving system with multiple elastic supports under different boundary conditions. The complex transfer matrices of an axially moving beam and a spring-damping supporting element are derived. According to the system topology, the overall transfer equation is acquired for vibration characteristic analysis. However, when dealing with multi-span systems that involve a large number of components, numerical instability may arise due to the instability of the corresponding boundary value problems. To address this issue, the reduced complex transfer matrix method (RCTMM) is developed. The state vector is artificially partitioned corresponding to the boundary condition of the system input. Numerical simulation results show that the developed method has the same computational accuracy as the MSTMM. More importantly, the RCTMM exhibits superior numerical stability, as indicated by the condition numbers of the system transfer matrix. It will provide an efficient tool for the design of mechanical multi-span axially moving systems. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Vibration & Control is the property of Sage Publications, Ltd. 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
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Header DbId: egs
DbLabel: Engineering Source
An: 194090061
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: Transversal vibration of a multi-span axially moving beam with multiple elastic supports.
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  Data: <searchLink fieldCode="AR" term="%22Wang%2C+Pingxin%22">Wang, Pingxin</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Rui%2C+Xiaoting%22">Rui, Xiaoting</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Guoping%22">Wang, Guoping</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Jiang%2C+Min%22">Jiang, Min</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> jm_anhui@163.com</i><br /><searchLink fieldCode="AR" term="%22Gu%2C+Junjie%22">Gu, Junjie</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Jianshu%22">Zhang, Jianshu</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Vibration+%26+Control%22">Journal of Vibration & Control</searchLink>. Jun2026, Vol. 32 Issue 11/12, p2795-2805. 11p.
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  Data: <searchLink fieldCode="DE" term="%22Transfer+matrix%22">Transfer matrix</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Vibration+%28Mechanics%29%22">Vibration (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Vibration+absorbers%22">Vibration absorbers</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Using the transfer matrix method for multibody systems (MSTMM), this paper presents a dynamical model of a multi-span axially moving system with multiple elastic supports under different boundary conditions. The complex transfer matrices of an axially moving beam and a spring-damping supporting element are derived. According to the system topology, the overall transfer equation is acquired for vibration characteristic analysis. However, when dealing with multi-span systems that involve a large number of components, numerical instability may arise due to the instability of the corresponding boundary value problems. To address this issue, the reduced complex transfer matrix method (RCTMM) is developed. The state vector is artificially partitioned corresponding to the boundary condition of the system input. Numerical simulation results show that the developed method has the same computational accuracy as the MSTMM. More importantly, the RCTMM exhibits superior numerical stability, as indicated by the condition numbers of the system transfer matrix. It will provide an efficient tool for the design of mechanical multi-span axially moving systems. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Vibration & Control is the property of Sage Publications, Ltd. 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: 10.1177/10775463251317669
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 11
        StartPage: 2795
    Subjects:
      – SubjectFull: Transfer matrix
        Type: general
      – SubjectFull: Boundary value problems
        Type: general
      – SubjectFull: Vibration (Mechanics)
        Type: general
      – SubjectFull: Vibration absorbers
        Type: general
    Titles:
      – TitleFull: Transversal vibration of a multi-span axially moving beam with multiple elastic supports.
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            NameFull: Wang, Pingxin
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            NameFull: Rui, Xiaoting
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            NameFull: Wang, Guoping
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            NameFull: Jiang, Min
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            NameFull: Gu, Junjie
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            NameFull: Zhang, Jianshu
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            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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              Value: 32
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              Value: 11/12
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            – TitleFull: Journal of Vibration & Control
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