Size dependent large displacements of microbeams and microframes
The size dependent large displacement behavior of planar microbeams and microframes is studied in this paper using a corotational beam element. To account for the size effect, the modified couple stress theory (MCST) is employed in conjunction with Euler-Bernoulli beam theory in deriving the intern...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Publishing House for Science and Technology
2022-09-01
|
| Series: | Vietnam Journal of Mechanics |
| Subjects: | |
| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/17180 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850207047342096384 |
|---|---|
| author | Cong Ich Le Dinh Kien Nguyen |
| author_facet | Cong Ich Le Dinh Kien Nguyen |
| author_sort | Cong Ich Le |
| collection | DOAJ |
| description |
The size dependent large displacement behavior of planar microbeams and microframes is studied in this paper using a corotational beam element. To account for the size effect, the modified couple stress theory (MCST) is employed in conjunction with Euler-Bernoulli beam theory in deriving the internal force vector and the tangent stiffness matrix of the beam element. The Newton-Raphson based iterative procedure is used in combination with the arc-length method to solve the nonlinear equilibrium equation and to trace the equilibrium paths. Various microbeams and microframes are analyzed to show the influence of the size effect on the large deflection behavior of the microstructure. The obtained result reveals that the size effect plays an important role on the large deflection response, and the displacements of the structure are over estimated by ignoring the size effect. A parametric study is carried out to highlight the influence of the material length scale parameter on the large displacement behavior of the microbeams and microframes.
|
| format | Article |
| id | doaj-art-e8b08371b7824eeeaf8a8a132cd20a95 |
| institution | OA Journals |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2022-09-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-e8b08371b7824eeeaf8a8a132cd20a952025-08-20T02:10:38ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822022-09-0144310.15625/0866-7136/17180Size dependent large displacements of microbeams and microframesCong Ich Le0https://orcid.org/0000-0002-5367-0054Dinh Kien Nguyen1https://orcid.org/0000-0001-9356-8401Le Quy Don Technical University, 236 Hoang Quoc Viet, Hanoi, VietnamInstitute of Mechanics, VAST, 18 Hoang Quoc Viet, Hanoi, Vietnam The size dependent large displacement behavior of planar microbeams and microframes is studied in this paper using a corotational beam element. To account for the size effect, the modified couple stress theory (MCST) is employed in conjunction with Euler-Bernoulli beam theory in deriving the internal force vector and the tangent stiffness matrix of the beam element. The Newton-Raphson based iterative procedure is used in combination with the arc-length method to solve the nonlinear equilibrium equation and to trace the equilibrium paths. Various microbeams and microframes are analyzed to show the influence of the size effect on the large deflection behavior of the microstructure. The obtained result reveals that the size effect plays an important role on the large deflection response, and the displacements of the structure are over estimated by ignoring the size effect. A parametric study is carried out to highlight the influence of the material length scale parameter on the large displacement behavior of the microbeams and microframes. https://vjs.ac.vn/index.php/vjmech/article/view/17180micro beam and framesize effectcorotational formulationlarge displacement analysis |
| spellingShingle | Cong Ich Le Dinh Kien Nguyen Size dependent large displacements of microbeams and microframes Vietnam Journal of Mechanics micro beam and frame size effect corotational formulation large displacement analysis |
| title | Size dependent large displacements of microbeams and microframes |
| title_full | Size dependent large displacements of microbeams and microframes |
| title_fullStr | Size dependent large displacements of microbeams and microframes |
| title_full_unstemmed | Size dependent large displacements of microbeams and microframes |
| title_short | Size dependent large displacements of microbeams and microframes |
| title_sort | size dependent large displacements of microbeams and microframes |
| topic | micro beam and frame size effect corotational formulation large displacement analysis |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/17180 |
| work_keys_str_mv | AT congichle sizedependentlargedisplacementsofmicrobeamsandmicroframes AT dinhkiennguyen sizedependentlargedisplacementsofmicrobeamsandmicroframes |