Buckling of Equilateral Trapezoidal Plate, Rectangular Plate of the Variable Thickness and Long Conical Frustum

Dynamic buckling of a thin thermoviscoplastic rectangular plate

The dynamic buckling of a thin orthotropic thermoviscoplastic plate is studied by analyzing the stability of a stressed/deformed plate under superimposed infinitesimal perturbations. Elastic deformations are neglected. The wavelength of the perturbation that has the maximum initial growth rate is assumed to determine the buckled shape of the plate. The buckled shape of a rectangular plate loade...

Isogeometric nonlinear bending and buckling analysis of variable-thickness composite plate structures

This paper investigates nonlinear bending and buckling behaviours of composite plates characterized by a thickness variation. Layer interfaces are described as functions of inplane coordinates. Top and bottom surfaces of the plate are symmetric about the midplane and the plate could be considered as a flat surface in analysis along with thickness parameters which vary over the plate. The variab...

Buckling and Vibration Analysis of Tapered Circular Nano Plate

In this paper, buckling and free vibration analysis of a circular tapered nanoplate subjected to in-plane forces were studied. The linear variation of the plate thickness was considered in radial direction. Nonlocal elasticity theory was employed to capture size-dependent effects. The Raleigh-Ritz method and differential transform method were utilized to obtain the frequency equations for simpl...

Boundary Conditions and Mode Jumping in the Buckling of a Rectangular Plate

We show that mode jumping in the buckling of a rectangular plate may be explained by a secondary bifurcation as suggested by Bauer et al. [1] when "clamped" boundary conditions on the vertical displacement function are assumed. In our analysis we use the singularity theory of mappings in the presence of a symmetry group to analyse the bifurcation equation obtained by the Lyapunov-Schmidt reduct...

The Buckling of a Prestressed Circular Plate*