The combined approximations method proposed by Kirsch is an efficient reanalysis method providing high-quality results. To integrate the Kirsch method into a structural optimization process, this paper presents a new adaptive Kirsch method to determine the minimum number of basis vectors using the -condition number. Consequently, a closer relationship between the Kirsch method and structural optimization is bridged. Moreover, the effectiveness of the Kirsch method is improved for application in optimal design problems. The presented numerical results prove that the adaptive Kirsch method is significantly more efficient than the Kirsch method because of the advantage of adaptively determining the minimum number of basis vectors to satisfy the predefined reanalysis error.
New Adaptive Technique of Kirsch Method for Structural Reanalysis
AIAA Journal ; 52 , 3 ; 486-495
2011-05-20
10 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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