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Buckling of circular plates with a ring support and elastically restrained edge
Published in
2009
Volume: 8
   
Issue: 1
Pages: 59 - 67
Abstract
Circular plates are commonly used as Structural elements in many Aeronautical, Civil, Mechanical and Naval applications. Even though the circular symmetry of the problem allows for its significant simplification, additional difficulties often arise due to uncertainty of boundary conditions. This uncertainty occurs because, in many practical applications, the edge of the plate is not free, simply supported or clamped. When the plate's boundary conditions depart from the classical cases, elastic translational constraint should be considered. This paper is concerned with the elastic buckling of circular plates with an internal ring support and elastically restrained guided edge against translation. The classical plate theory is used to derive the governing differential equation for circular plate with internal ring support and guided elastic edge support system. This work presents the existence of buckling mode switching with respect to the radius of internal ring support. The buckling mode may not be axisymmetric as previously assumed. 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. Extensive data is tabulated so that pertinent conclusions can be arrived at on the influence of translational restraint, 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. © Krishtel eMaging Solutions Private Limited.
About the journal
JournalAdvances in Vibration Engineering
ISSN09725768