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Accuracy and implementation of refined second order semi‐analytical design sensitivities
Author(s) -
Vervenne K.,
De Boer H.,
van Keulen F.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200108115125
Subject(s) - consistency (knowledge bases) , finite element method , sensitivity (control systems) , computer science , process (computing) , mathematical optimization , order (exchange) , algorithm , mathematics , structural engineering , engineering , artificial intelligence , electronic engineering , operating system , finance , economics
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 a refined second order method has been proposed and implemented. The improvement has been based on the consistency conditions for rigid body modes and their derivatives. Both analytical and numerical examples indicate a considerable accuracy improvement of the refined method over the standard SA method.