MECHANICS OF SHAPE OPTIMIZATION IN PLATE BUCKLING

This paper deals with the problem of finding the optimal thickness dirtribution for a rectangular, isotropic plate of given volume and plan dimensions. The details are described of the study which suggests that a concave distribution is efficient for constant prebuckling stress, because it reduces the work done more quickly than the strain energy. For constant prebuckling force, the convex distribution increases the buckling load by increasing the strain energy while keeping the work done constant. The optimality criterion based on the strain energy distribution (Spillers and Levy 1990) does not appear to admit a general solution to shape optimization and is limited to those cases where prebuckling is characterized by a constant force per unit length throughout the entire plate.

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  • Accession Number: 00622577
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Jun 30 1992 12:00AM