Abstract

This paper describes an efficient method for sensitivity analysis in shape optimum design. One feature is the use of limited number of master nodes to characterize the surfaces of a set of isoparametric finite elements, and the adoption of their coordinates as design variables of the shape optimization. Another is the derivation of analytical formulations of the gradients of both the stiffness terms and the load vectors with respect to the design variables. A finite element analysis code is adapted to the purposes of the method and numerical examples are performed and comparisons made with sensitivity analysis based on forward finite differences.

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