The size-dependent analysis of microplates via a newly developed shear deformation theory

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 cond...

Full description

Saved in:
Bibliographic Details
Published in:Acta mechanica 2019, Vol.230 (1), p.49-65
Main Authors: Bahreman, M., Darijani, H., Bahrani Fard, A.
Format: Article
Language:English
Subjects:
Boundary conditions
Buckling
Classical and Continuum Physics
Control
Deformation effects
Dynamical Systems
Engineering
Engineering Thermodynamics
Heat and Mass Transfer
Laboratory equipment
Original Paper
Plate theory
Resonant frequencies
Shear deformation
Solid Mechanics
Stiffness
Theoretical and Applied Mechanics
Vibration
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-018-2260-x