A novel size-dependent finite strip based on Carrera unified formulation and micropolar theory for the free vibration analysis of microplates.
Saved in:
| 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.) | |
| Database: | Engineering Source |
|
Full text is not displayed to guests.
Login for full access.
|
|
| 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] |
|---|---|
| ISSN: | 15376494 |
| DOI: | 10.1080/15376494.2023.2301508 |
