Deflection of a hyperbolic shear deformable microbeam under a concentrated load
Journal Title: Journal of Applied and Computational Mechanics - Year 2016, Vol 2, Issue 2
Abstract
Deflection analysis of a simply supported microbeam subjected to a concentrated load at the middle is investigated on the basis of a shear deformable beam theory and non-classical theory. Effects of shear deformation and small size are taken into consideration by hyperbolic shear deformable beam theory and modified strain gradient theory, respectively. The governing differential equations and corresponding boundary conditions are obtained by implementing minimum total potential energy principle. Navier-type solution is employed to achieve an analytical solution for deflections of simply supported homogeneous microbeams. The effects of shear deformation, material length scale parameter and slenderness ratio on the bending response of microbeams are investigated in detail.
Authors and Affiliations
Bekir Akgöz, Ömer Civalek
Keywords
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- EP ID EP178282
- DOI 10.22055/jacm.2016.12331
- Views 138
- Downloads 0
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Deflection of a hyperbolic shear deformable microbeam under a concentrated load
Deflection analysis of a simply supported microbeam subjected to a concentrated load at the middle is investigated on the basis of a shear deformable beam theory and non-classical theory. Effects of shear deformation and...