Novel Formulation to Study Thermal Postbuckling of Circular Plates with Edges Elastically Restrained against Rotation
Publication: Journal of Engineering Mechanics
Volume 137, Issue 10
Abstract
A novel formulation is used to study the thermal postbuckling behavior of circular plates, with the edges supported to not have lateral deflection and elastically restrained against rotation. The elastic restraint is mathematically represented by an elastic rotational spring. The circular plate is subjected to a uniform edge compressive radial load, developed because of a uniform temperature rise. The formulation is on the basis of on the radial tensile load developed in the plate because of the large deflections of the plate with edges immovable in the plane normal to the edge and the linear buckling load corresponding to the uniform edge radial compressive load. The developed radial tensile load is obtained by using Berger’s approximation. The numerical results obtained from the present investigation in terms of the ratios of the postbuckling to the buckling loads for several rotational spring stiffness values compare well with those obtained by using the versatile finite-element analysis.
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Acknowledgments
The writers are thankful to their respective institutes for their encouragement during the course of this work. The second writer is grateful to the Indian National Academy of Engineering for awarding the Distinguished Professorship.
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© 2011 American Society of Civil Engineers.
History
Received: Jul 16, 2009
Accepted: May 31, 2011
Published online: Jun 1, 2011
Published in print: Oct 1, 2011
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