Recent works done by nano-engineers and nano-sciences about mechanical behavior of nano-plates including bending, buckling and vibration response were reviewed. The authors used non-classical elasticity theories to explain these behaviors of plate structures. Some of them employed Hamilton’s principle along with stain gradient theory, nonlocal theory, surface theory and couple stress theory to ...

in this paper, simulation and analysis of thin steel cylindrical shells with elliptical cutouts under oblique loading were studied using finite element method. first, the numerical results were validated by the results of experimental test performed by an instron 8802 servo hydraulic machine. also, the effect of cutout angle (θ), cutout size, cutout position (l0/l) and cutout aspect ratios (b/a...

This study investigates the buckling behavior of short cylindrical shells with hemi-spherical heads subjected to hydrostatic pressure. It is assumed that the length of the cylindrical part is smaller than or equal to its diameter while its material may be dif-ferent from that of hemispherical heads. Finite element analysis was used to seek out the effect of geometric parameters such as thicknes...

In this study, using the non-local elasticity theory, the buckling and vibration analysis of triple- walled ZnO piezoelectric Timoshenko beam on elastic Pasternak foundation is analytically investigated under magneto-electro-thermo-mechanical loadings. Using the Timoshenko beam free body diagram, the equilibrium equation of Timoshenko nano-beam model is obtained and solved by Navier’s method fo...

geometric and material nonlinear behavior of slender webs in i-column girders having stocky flanges under the action of combined lateral and axial loads is investigated. interaction curves corresponding to the application of compressive and shear loads at buckling and ultimate stages for both web plates and column sections are plotted. in addition, the effects of flange and web slenderness rati...

in this paper, the finite element analysis of stability problem of vehicle composite drive shafts subjected to torsional loading is studied. first, using the minimum total potential energy principle, the governing equations are derived and then they are solved by finite element method. the initial geometrical imperfection which is usually in the form of radial displacement, is taken into consid...

A study is presented of the post-buckling behavior and imperfection-sensitivity of complete spherical shells subject to uniform external pressure. The study builds on and extends the major contribution to spherical shell buckling by W.T. Koiter in the 1960’s. Numerical results are presented for the axisymmetric large deflection behavior of perfect spheres followed by an extensive analysis of th...

We compare different models describing the buckling, post-buckling and vibrations of elastic beams in plane. Focus is put on first buckled equilibrium solution two vibration modes around it. In incipient regime, classic Woinowsky-Krieger model known to grasp behavior system. It based von Kármán approximation, a 2nd order expansion strains beam. But as curvature beam becomes larger, starts show ...