The Layerwise Shell Theory is used to model discretely stiffened laminated composite plates and cylindrical shells for stress, vibration, pre-buckling and post-buckling analyses. The layerwise theory reduces a 3-D problem to a 2-D problem by expanding the 3-D displacement field as a function of a surface-wise 2-D displacement field and a 1-D interpolation polynomial through the shell thickness....

In this paper, the nonlinear conjugate map is applied based on the conjugate Hasofer-Lind and Rackwitz- Fiessler (CHL-RF) method to evaluate the reliability index using the first order reliability method of the embedded nanocomposite beam, which is made of a polymer reinforced with carbon nanotubes (CNTs). The structure is simulated with the Timoshenko beam model. The Mori-Tanaka model is appli...

This research is aimed at investigating the elastic buckling strength of I-beam cantilevers. In section classification and in design both, understanding load that beam can withstand without loss stability crucial, especially determining correct method analysis. The divided into segments which are investigated separately as plates. A novel approximation for plates with flexible boundary conditio...

This paper studies the post-local buckling behaviour of steel plates in concrete-filled thin-walled steel tubular columns under biaxial loading using the finite element method. Geometric and material nonlinear finite element analyses are undertaken to investigate the post-local buckling strengths of imperfect steel plates under stress gradients. Based on the results obtained from the nonlinear ...

This paper studies the pure bending and bending-induced local buckling of a nanocomposite beam reinforced by a single-walled carbon nanotube (SWNT). The Airy stress-function method was employed to analyse the deformation of the matrix, and the cross-sectional change of the SWNT in bending was taken into account. A particular consideration was given to the effect of the SWNT s radial flexibility...

A parallel leaf spring guidance is defined as a benchmark problem for flexible multibody formalisms and codes. The mechanism is loaded by forces and an additional moment or misalignment. Buckling loads, changes in compliance and frequencies, and large-amplitude vibrations are calculated. A previously developed beam element for modelling the leaf springs is shown to be able to describe these phe...

This paper examines the use of Fourier series (finite integral transforms) in some beam-type problems of optimal structural design. In general, the series solution method reduces continuous mathematical programming problems to discrete ones. This is of particular interest when accurate results can be obtained with only a few terms of the series. Six problems of vibration and buckling are treate...

In this paper, linear stability analysis of non-prismatic beam resting on uniform Winkler-Pasternak elastic foundation is carried out based on Eringen's non-local elasticity theory. In the context of small displacement, the governing differential equation and the related boundary conditions are obtained via the energy principle. It is also assumed that the width of rectangle cross-section varie...

The free surface flow of an Oldroyd-B viscoelastic fluid is considered, following [1]. When removing a term in the extra-stress constitutive relation, the description of an elastic incompressible solid is obtained, in Eulerian coordinates, with the velocity field as unknown, rather than the usual deformation field. Two simulations are proposed, a bouncing ball and an oscillating beam.