Engineering structural design requires many simulations of the structural system after modifications are made to the initial structure. The computational cost of these repetitive simulations can be prohibitive in many engineering applications, such as optimization, reliability analysis, and so forth. In this work, the successive matrix inversion method is improved to include the capability to update not only the inverse of the modified stiffness matrix, but also the modified system response vector. This is done by introducing an influence vector storage matrix and a vector-updating operator that makes it possible to perform sequential reanalyses. The improved successive matrix inversion method has a wider applicable range of modification than the original method. The applicability of the proposed successive matrix inversion method is demonstrated with two popular engineering problems: sensitivity analysis and reliability analysis of an aircraft wing structure.
Efficient successive reanalysis technique for engineering structures
Effiziente sukzessive Analyse schrittweise modifizierter Tragwerke
AIAA Journal (online) ; 44 , 8 ; 1883-1889
2006
7 Seiten, 7 Bilder, 17 Quellen
Article (Journal)
English
Ausfallwahrscheinlichkeit , Design-Optimierung , Empfindlichkeitsanalyse , Finite-Elemente-Methode , Inversion , Matrixmethode , Matrizenrechnung , Methodenvergleich , numerisches Verfahren , Rechenzeit , Spannungsberechnung , Steifigkeit , Strukturanalyse , Tragfläche (Aerodynamik) , Tragwerk (Flugzeug) , Zuverlässigkeitsvoraussage , Modifikation , Näherungsverfahren
AIAA-2004-1870 An Efficient Successive Reanalysis Technique for Engineering Structures
British Library Conference Proceedings | 2004
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