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RISPostbuckling of functionally graded nanobeams based on modified couple stress theory under general beam theory
In this paper, analysis of shear deformable functionally graded (FG) nanobeams in postbuckling based on
modified couple stress theory is presented. The nonlinear behavior of postbuckling is defined based on
von-Karman geometric...
Application of Homotopy and Homotopy Perturbation Methods to Differential Equations of Heat Transfer and Shear Deformation of Beams
In this paper, different physical differential equations related to heat transfer and
shear deformation of beams are solved by new but powerful analytical methods:
Liao’s Homotopy method (H.M), Homotopy method with Pade approximation...
Flexural Vibration of Timoshenko Beams, Using Distributed Lumped Modeling Technique
This paper focuses on the development of a complete model of the Timoshenko beam, based on considering the effects of shear deformation. A method based on distributed-lumped modeling approach is proposed to solve the governing equations. Natural...
Seismic response of reinforced concrete short columns failed in shear
Elastoplastic buckling analysis of rectangular thick plates by incremental and deformation theories of plasticity
quadrature method. Based on first-order shear deformation plate theory and incremental and deformation theories of plasticity, the nonlinear equilibrium equations are developed. Various combinations of clamped, simply supported,
and free boundary...
An analytical procedure to study vibration of rectangular plates under non-uniform in-plane loads based on first-order shear deformation theory
differential equations, are solved analytically by considering the in-plane
constrains. The potential and kinetic energies of the plate are calculated based on the first-order shear deformation theory, and the Ritz method is used to obtain...