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Accuracy and implementation of refined second-order semi-analytical design sensitivities. (English) Zbl 1049.74742

Summary: Accurate second-order design sensitivities of finite element responses play an important role in the optimization process. The semi-analytical (SA) method is often used to compute these sensitivities. A disadvantage of the SA method is that severe inaccuracies may be observed for shape design variables. To improve the accuracy of the SA method, we propose and implement a refined second order method. The improvement is based on consistency conditions for rigid body modes and their derivatives. Both analytical and numerical examples indicate a considerable accuracy improvement of the refined method compared to the standard SA method.

MSC:

74P10 Optimization of other properties in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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