A size-dependent nonlinear Timoshenko microbeam model based on the strain gradient theory |
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| Authors: | M. Asghari M. H. Kahrobaiyan M. Nikfar M. T. Ahmadian |
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| Affiliation: | (1) Department of Mechanics, Huazhong University of Science and Technology, Wuhan, 430074, China;(2) Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Wuhan, 430074, China; |
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| Abstract: | The geometrically nonlinear governing differential equations of motion and the corresponding boundary conditions are derived for the mechanical analysis of Timoshenko microbeams with large deflections, based on the strain gradient theory. The variational approach is employed to achieve the formulation. Hinged-hinged beams are considered as an important practical case, and their nonlinear static and free-vibration behaviors are investigated based on the derived formulation. |
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