A novel size-dependent finite strip based on Carrera unified formulation and micropolar theory for the free vibration analysis of microplates.

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Title: A novel size-dependent finite strip based on Carrera unified formulation and micropolar theory for the free vibration analysis of microplates.
Authors: Daraei, Behnam1 (AUTHOR) daraei@eng.uk.ac.ir, Shojaee, Saeed1 (AUTHOR), Hamzehei-Javaran, Saleh1 (AUTHOR), Carrera, Erasmo2 (AUTHOR)
Source: Mechanics of Advanced Materials & Structures. 2024, Vol. 31 Issue 28, p11088-11100. 13p.
Subjects: Finite strip method, Free vibration, Degrees of freedom, Set functions, Micropolar elasticity, Elasticity
Abstract: In this article, a novel size-dependent finite strip approach based on Carrera unified formulation (CUF) and micropolar elasticity is developed and introduced to investigate the free vibration analysis of micro-plate structures. The micropolar theory, through taking the micro-rotational degrees of freedom and micropolar couple stress effects into account, is a suitable elasticity theory for analysis of the microstructures. The finite strip method (FSM) allows for the division of a plate into some finite strips that are connected through the so-called nodal lines. The present higher-order refined finite strip model is more advanced and allows for the expression of all displacement and micro-rotation variables in each nodal line as a set of thickness functions that solely rely on the thickness coordinate, and the corresponding variable that depends on the in-plane coordinates, which involve continuously harmonic series and polynomial shape functions. Thanks to the CUF, the three-dimensional displacement and micro-rotation field are approximated compactly as a generic N-order expansion model. Therefore, the governing equations are obtained in terms of a few fundamental nuclei in a compact and explicit unified manner and presented here. The results obtained by the proposed method are compared with those available in the literature. [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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  Label: Title
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  Data: A novel size-dependent finite strip based on Carrera unified formulation and micropolar theory for the free vibration analysis of microplates.
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  Data: <searchLink fieldCode="AR" term="%22Daraei%2C+Behnam%22">Daraei, Behnam</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> daraei@eng.uk.ac.ir</i><br /><searchLink fieldCode="AR" term="%22Shojaee%2C+Saeed%22">Shojaee, Saeed</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Hamzehei-Javaran%2C+Saleh%22">Hamzehei-Javaran, Saleh</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Carrera%2C+Erasmo%22">Carrera, Erasmo</searchLink><relatesTo>2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Mechanics+of+Advanced+Materials+%26+Structures%22">Mechanics of Advanced Materials & Structures</searchLink>. 2024, Vol. 31 Issue 28, p11088-11100. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Finite+strip+method%22">Finite strip method</searchLink><br /><searchLink fieldCode="DE" term="%22Free+vibration%22">Free vibration</searchLink><br /><searchLink fieldCode="DE" term="%22Degrees+of+freedom%22">Degrees of freedom</searchLink><br /><searchLink fieldCode="DE" term="%22Set+functions%22">Set functions</searchLink><br /><searchLink fieldCode="DE" term="%22Micropolar+elasticity%22">Micropolar elasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Elasticity%22">Elasticity</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this article, a novel size-dependent finite strip approach based on Carrera unified formulation (CUF) and micropolar elasticity is developed and introduced to investigate the free vibration analysis of micro-plate structures. The micropolar theory, through taking the micro-rotational degrees of freedom and micropolar couple stress effects into account, is a suitable elasticity theory for analysis of the microstructures. The finite strip method (FSM) allows for the division of a plate into some finite strips that are connected through the so-called nodal lines. The present higher-order refined finite strip model is more advanced and allows for the expression of all displacement and micro-rotation variables in each nodal line as a set of thickness functions that solely rely on the thickness coordinate, and the corresponding variable that depends on the in-plane coordinates, which involve continuously harmonic series and polynomial shape functions. Thanks to the CUF, the three-dimensional displacement and micro-rotation field are approximated compactly as a generic N-order expansion model. Therefore, the governing equations are obtained in terms of a few fundamental nuclei in a compact and explicit unified manner and presented here. The results obtained by the proposed method are compared with those available in the literature. [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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    Identifiers:
      – Type: doi
        Value: 10.1080/15376494.2023.2301508
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      – Code: eng
        Text: English
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        PageCount: 13
        StartPage: 11088
    Subjects:
      – SubjectFull: Finite strip method
        Type: general
      – SubjectFull: Free vibration
        Type: general
      – SubjectFull: Degrees of freedom
        Type: general
      – SubjectFull: Set functions
        Type: general
      – SubjectFull: Micropolar elasticity
        Type: general
      – SubjectFull: Elasticity
        Type: general
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      – TitleFull: A novel size-dependent finite strip based on Carrera unified formulation and micropolar theory for the free vibration analysis of microplates.
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            NameFull: Daraei, Behnam
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            NameFull: Shojaee, Saeed
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            NameFull: Hamzehei-Javaran, Saleh
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            NameFull: Carrera, Erasmo
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            – D: 29
              M: 12
              Text: 2024
              Type: published
              Y: 2024
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