Buckling of circular cylindrical shells by the Differential Quadrature Method

On the postbuckling behavior of geometrically imperfect cylindrical nanoshells subjected to radial compression including surface stress effects

“…Because in accordance with authors' knowledge, there is no investigation available in published literature in which the buckling or postbuckling behavior of nanoshells is studied in the presence of surface stress effects, by ignoring the nonlinear and surface elasticity terms, the critical buckling load of a cylindrical shell at usual scale subjected to lateral pressure is calculated based on the present solution procedure and is compared with that of Mirfakhraei and Redekop [41] using differential quadrature numerical method. In Table 2, the critical buckling pressures of cylindrical shells with clamped edge supports obtained by the two different methods are compared corresponding to the same material and geometric properties.…”

NURBS-Based Collocation Methods for the Structural Analysis of Shells of Revolution

“…where the interpolation functions R i,p (ξ) follow (10). The discrete form of (6)- (7) is thus obtained substituting (14) into the equilibrium operator L (j) and into the boundary conditions operator B (j) , respectively.…”

“…With reference to the analysis of shell structural elements, Mirfakhraei and Redekop [10] applied a Lagrangian differential quadrature method to the study of buckling phenomena of orthotropic thin shells of revolution; Wu et al [11,12] presented solutions to problems of axisymmetric bending of shells of revolution, introducing the so-called generalized differential quadrature rule. Viola and Artioli [13,14] and Artioli et al [15,16] proposed a Lagrange differential quadrature solution for complex rotational shells with Fourier series expansion of dependent variables, both for the free vibration analysis, and for the static analysis of shells of revolution subject to unsymmetrical loading.…”

The Effect of Residual Stress on the Electromechanical Behavior of Electrostatic Microactuators

“…Du et al [24] presented the application of a generalized differential quadrature method to structural problems. Mirfakhraei and Redekop [25] solved the buckling of circular cylindrical shells using the differential quadrature method. Moradi and Taheri [26] presented the delamination buckling analysis of general laminated composite beams using the differential quadrature method.…”