Buckling analysis of a microbeam embedded in an elastic medium with deformable boundary conditions

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Date

2016-07-25

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Wiley

Abstract

The buckling of elastically restrained embedded microbeam under axial compression load is researched. The effects of small size, axial compression load and surrounding elastic medium are taken into account at the same time. Winkler elastic foundation approach is used to simulate the interaction between microbeam and elastic medium. Fourier sine series is employed for the simulation of microbeam deflections. A coefficient matrix is obtained with the aid of applying Stokes' transformation to corresponding boundary conditions. The buckling characteristics of elastically restrained embedded microbeams are investigated in some numerical examples. There are very good agreements between this study and the previous results indicating the validity of the presented method.

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Keywords

Science & technology - other topics, Materials science, Buckling, Micromechanics, Beams (structures), Elastic deformation, Elasticity, Compressibility, Fourier series, Nonlocal elasticity, Elastically restrained embedded microbeam, Elastic medium, Deformable boundary conditions, Axial compression load, Winkler elastic foundation approach, Fourier sine series, Microbeam deflections, Coefficient matrix, Stokes transformation, Axial compression, Axial loads, Boundary conditions, Couple stress theory, Linear transformations, A-coefficient, Carbon nanotubes, Buckling analysis, Microstructure, Stability analysis, Micro beams, Surrounding elastic mediums, Winkler elastic foundation, Vibration, Mechanics, Models

Citation

Yaylı, M. Ö. (2016). "Buckling analysis of a microbeam embedded in an elastic medium with deformable boundary conditions". Micro and Nano Letters, 11(11), 741-745.