Mechanical Postbuckling Behavior of Circular Plates Through Concept of Equivalent Radial Tensile Load

摘要

Aerospace and automobile structural systems are assemblages of simple structural members like, columns,udcircular and rectangular plates etc., designed with lesser margins of safety and also have minimum mass, areudsubjected to severe mechanical or thermal loads during the service conditions. As such, these structural members are relatively more flexible, compared to the same used in the other fields of engineering. Due to these requirements, the study of the thermal or mechanical postbuckling behavior of these structural members gained importance. To predict the mechanical or thermal postbuckling behavior of these structural members, a more rigorous geometric nonlinear (large deflections) analysis is required. The present study deals with the concept of the effective tensile load developed, due to large deflections, to derive a simple heuristic formula, called simply as the formula, to predict the mechanical postbuckling behavior of circular plates, called simply as plates, without going for complex mathematical treatment1,2. The circular plate problem,formulated in the polar coordinate system, is relatively more involved, as the radial and circumferential strains are coupled by the radial displacement, compared to the otherudstructural members, which are formulated in the Cartesianudcoordinate system. Such formulas are handy and useful toudthe designers/analysts to quickly evaluate the mechanicaludpostbuckling behavior of the plates, in the iterative design/analysis cycles