Abstract

A concept for interactive shape optimization of plane and axisymmetric continuum structures is presented. Interactive optimization is interpreted as a continuous optimization of the mechanical structural behaviour using a flexible optimization model that may be changed during the optimization process. Essential points of the concept are: the application of analytically formulated hybrid-mixed finite elements for structural and sensitivity analysis, the integration of an adaptive mesh generation scheme for the automatic derivation of the analysis model, and an interactively changeable boundary representation using nonuniform rational B-splines (NURBS) curves. The characteristics of the implementation, the shape optimization system PICASSO (prototype of interactive computer aided structural shape optimization), are discussed using an example.

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