The size-dependent analysis of microplates via a newly developed shear deformation theory
| Autor: | H. Darijani, M. Bahreman, A. Bahrani Fard |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Mechanical Engineering Shear deformation theory Size dependent Computational Mechanics Stiffness 02 engineering and technology Mechanics 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics 020303 mechanical engineering & transports 0203 mechanical engineering Shear (geology) Buckling 0103 physical sciences Solid mechanics Plate theory medicine Boundary value problem medicine.symptom |
| Zdroj: | Acta Mechanica. 230:49-65 |
| ISSN: | 1619-6937 0001-5970 |
| DOI: | 10.1007/s00707-018-2260-x |
| Popis: | This work deals with considering the small-scale effects on the static bending, vibrational behavior and buckling analysis of a simply supported microplate based on the newly developed shear deformation plate theory. This theory includes two unknown functions and meets the shear and couple-free conditions on the top and bottom surfaces of the plate without any shear correction factor. Hamilton’s principle and the modified couple stress theory are applied to obtain the governing equations and corresponding boundary conditions. Navier’s approach is used to analytically obtain the deflections, natural frequencies and critical buckling loads of the microplate. The reliability of the presented formulation in this paper is studied through comparison with previous existing data. It is revealed that the presented theory is comparable to the other shear deformation theories. Also, numerical results of this work demonstrate that the proposed theory predicts lower natural frequencies and critical buckling loads compared to the other theories because of the lower stiffness of the plate. |
| Databáze: | OpenAIRE |
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