This paper deals with stability of circular plate with foundation and elastic edge against translation and rotation. Exact solution is utilized for development of governing equation for the problem under consideration. This paper reveals the subsistence of mode switching and it varies with foundation parameter. Fundamental buckling may not relate to axisymmetric as earlier implicated. The buckling load parameter rises monotonically with the foundation parameter. Percent of increase in load-carrying ability with foundation is calculated. A wide range of data is generated based on the dominance of rotational, translational, and foundation parameters on the stability of the system. © 2014, Springer Science+Business Media Dordrecht.

Bhaskara Rao Lokavarapu

Mechanical

School of Mechanical Engineering

Chennai Campus

Rao C.K.

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

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International Journal of Mechanics and Materials in Design

The buckling of elastic circular plates with an internal elastic ring support and elastically restrained edges against rotation and simply supported is concerned. The classical plate theory is used to derive the governing differential equation. This work presents the existence of buckling mode switching with respect to the radius of internal elastic ring support. The plate may buckle in an axisymmetric mode in general, but when the radius of the ring support becomes small, the plate may buckle in an asymmetric mode. The cross-over ring support radius varies from 0.09891 to 0.1545 times the plate radius, depending on the rotational stiffness of the elastic restraint at the edges and elastic restraint of the ring. The optimum radius of the internal elastic ring support for maximum buckling load is also determined. Extensive data is tabulated so that pertinent conclusions can be arrived at on the influence of rotational restraint, translational restraint of internal elastic ring support, Poisson’s ratio, and other boundary conditions on the buckling of uniform isotropic circular plates. The numerical results obtained are in good agreement with the previously published data © 2015, Springer Science+Business Media New York.

Fulltext

International Applied Mechanics

Buckling of Elastic Circular Plates with an Elastically Restrained Edges Against Rotation and Internal Elastic Ring Support

Authors group

Harsha Rao

KSCE Journal of Civil Engineering

A finite grid solution for circular plates on elastic foundations

Structural Engineering and Mechanics

Buckling mosaic of a circular plate on a partial elastic foundation

Journal of Sound and Vibration

Buckling and vibration of polar orthotropic circular plate resting on Winkler foundation

Buckling of circular plate with foundation and elastic edge

Journal	Data powered by TypesetInternational Journal of Mechanics and Materials in Design
Publisher	Data powered by TypesetSpringer Science and Business Media LLC
ISSN	1569-1713
Open Access	0