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Thermal effect on buckling and free vibration behavior of functionally graded (FG) microbeams based on modified couple stress theory is presented. Classical and first order shear deformation beam theories are adopted to count for the effect of shear deformations. Hamilton’s principle is applied to give the governing equations, boundary and initial conditions of the FG microbeam. Using generalized...
The present study is concerned with the bending, buckling and vibration analyzes of nonlocal Euler beams. Weak form of the governing equation of nonlocal Euler beams is outlined in this paper. Ritz method is selected in order to analyze the nonlocal beams with arbitrary boundary conditions along them. Analytical formulations are developed to find the stiffness matrix, buckling stiffness matrix and...
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