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Free vibration characteristics of cantilevered sandwich trapezoidal plates with variable thickness.

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Title: Free vibration characteristics of cantilevered sandwich trapezoidal plates with variable thickness.
Authors: An, Ran1 (AUTHOR), Yang, Shaowu1 (AUTHOR) shaowu_yang@163.com, Hao, Yuxin1 (AUTHOR), Zhang, Wei2 (AUTHOR), Ma, Wensai3 (AUTHOR), Niu, Yan4 (AUTHOR) niuyan_ny@163.com
Source: Mechanics of Advanced Materials & Structures. 2025, Vol. 32 Issue 9, p2031-2055. 25p.
Subjects: Hamilton's principle function, Free vibration, Equations of motion, Metal foams, Aluminum foam
Abstract: The variable thickness function is innovatively added. The carbon fiber layer and the porous foam metal aluminum, are selected to composite the composition of a variable thickness cantilevered trapezoidal plate for modeling and free vibration analysis. Hamilton's principle is used to develop the motion control equation of the trapezoidal plate with variable thickness cantilevered sandwich, and Galerkin's approach is used to determine the inherent frequency of the system. The research employs suitable analytical methods to solve them, and analyzes the outcomes to uncover the effects of geometric parameters, material properties, and thickness variations on the structure. [ABSTRACT FROM AUTHOR]
Copyright of Mechanics of Advanced Materials & Structures is the property of Taylor & Francis 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.)
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  Data: Free vibration characteristics of cantilevered sandwich trapezoidal plates with variable thickness.
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  Data: <searchLink fieldCode="JN" term="%22Mechanics+of+Advanced+Materials+%26+Structures%22">Mechanics of Advanced Materials & Structures</searchLink>. 2025, Vol. 32 Issue 9, p2031-2055. 25p.
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  Data: <searchLink fieldCode="DE" term="%22Hamilton's+principle+function%22">Hamilton's principle function</searchLink><br /><searchLink fieldCode="DE" term="%22Free+vibration%22">Free vibration</searchLink><br /><searchLink fieldCode="DE" term="%22Equations+of+motion%22">Equations of motion</searchLink><br /><searchLink fieldCode="DE" term="%22Metal+foams%22">Metal foams</searchLink><br /><searchLink fieldCode="DE" term="%22Aluminum+foam%22">Aluminum foam</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The variable thickness function is innovatively added. The carbon fiber layer and the porous foam metal aluminum, are selected to composite the composition of a variable thickness cantilevered trapezoidal plate for modeling and free vibration analysis. Hamilton's principle is used to develop the motion control equation of the trapezoidal plate with variable thickness cantilevered sandwich, and Galerkin's approach is used to determine the inherent frequency of the system. The research employs suitable analytical methods to solve them, and analyzes the outcomes to uncover the effects of geometric parameters, material properties, and thickness variations on the structure. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mechanics of Advanced Materials & Structures is the property of Taylor & Francis 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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      – Type: doi
        Value: 10.1080/15376494.2024.2374440
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 25
        StartPage: 2031
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      – SubjectFull: Hamilton's principle function
        Type: general
      – SubjectFull: Free vibration
        Type: general
      – SubjectFull: Equations of motion
        Type: general
      – SubjectFull: Metal foams
        Type: general
      – SubjectFull: Aluminum foam
        Type: general
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      – TitleFull: Free vibration characteristics of cantilevered sandwich trapezoidal plates with variable thickness.
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            NameFull: Yang, Shaowu
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            NameFull: Zhang, Wei
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            NameFull: Ma, Wensai
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            NameFull: Niu, Yan
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            – D: 01
              M: 05
              Text: 2025
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              Y: 2025
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