New formulation of the problem of optimum reinforcement of thin plates subjected to random loads
A new formulation of the problem of computing the optimum layout of ribs in thin plates subjected to multiple load cases is presented. This formulation is suitable to address the optimization problem under random loads. The objective is to find the stiffest plate through the minimization of a weighted average of the mean compliances associated with each load case. The new formulation considers a hierarchy of two problems: a global optimization problem, where the optimum distribution of available material is computed, and a local problem where the amount of material is optimally allocated into micro-ribs of different widths and orientations. This arrangement is particularly well suited for computations of optimum topology problems in the style of [BEN88].
Publication Source (Journal or Book title)
American Society of Mechanical Engineers, Applied Mechanics Division, AMD
Lipton, R., Diaz, A., & Soto, C. (1993). New formulation of the problem of optimum reinforcement of thin plates subjected to random loads. American Society of Mechanical Engineers, Applied Mechanics Division, AMD, 167, 127-133. Retrieved from https://repository.lsu.edu/mathematics_pubs/802