A Lanczos procedure for efficient mode superposition in dynamic analysis

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Abstract

Among the mode superposition methods for dynamic analysis, the generalized mode acceleration method and mode truncation augmentation method have been shown to be high order extensions to classical mode superposition procedures. These high order approaches are very efficient in representing dynamic responses using a small number of vibration modes and static correction modes. However, the efficiency of these methods has to be balanced against the cost of building the static correction components. In this paper, a simple and robust procedure is devised to construct the static corrections of any order as a by-product of the Lanczos iterations performed to compute the vibration modes. As a consequence, the generalized mode superposition methods incur nearly no extra cost compare to the basic super-position approaches while allowing a much better representation of the dynamic response.

Original languageEnglish
Pages (from-to)1441-1450
Number of pages10
JournalCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Volume3
DOIs
StatePublished - 2002
Externally publishedYes
Event43rd Structures, Structural Dynamics and Materials Conference - Denver, CO, United States
Duration: 22 Apr 200225 Apr 2002

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