Abstract
The paper describes a statistical formulation for the structure modification problems, where two or more performance measuring functions (e.g. stiffness, strength, frequency, modeshape, weight, etc.) can be specified at several points on the structure. “Optimal Remodeling” refers to the best possible form of modification which would satisfy the prescribed limits imposed on these performance measures. The design variables may be any parameter associated with a generic finite element model such as sectional, material, geometric, or shape properties. The formulation is based on statistical system identification methods and penalty approaches that move as many performance measures as possible into an acceptable region. As an illustration of these concepts, examples have been chosen from two types of problems: (a) shape optimization to minimize stress concentrations and (b) fully stressed design (FSD).
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