Thermal Buckling of Uniform Rectangular Plates.

摘要

The extensive utilization of light-weight alloys in many structures such as aircraft, ships, and nuclear powerplants necessitates a thorough analysis of the load-deformation relationships of the structural components. Of this relationships, the problem of instability is among the more difficult and interesting ones to analyze. For high temperature environments, the instability due to thermal expansion becomes more important and compelling from a safety and performance standpoint. Elastic instability phenomena of two basic structural elements, rods (columns) and plates, have been extensively studied in the past fifty years and are well documented insofar as the current status is concerned. The analysis of column instability and post-instability is generally considered complete except for the inelastic behavior of the material. For plate structures, the analysis has not reached the same level of completeness. Exact solutions have not been available for certain loading and boundary conditions. The purpose of this report is to present the exact solution for the thermal buckling of uniform rectangular plates. The solutions are presented for all possible combinations of simply supported and clamped edge conditions. This filled a void existing in plate buckling analysis. (Author)