Generalized Methodology for Assembly and Reduction of Component Models for Dynamic Substructuring
| Autor: | P. L. C. van der Valk, S. N. Voormeeren, Daniel J. Rixen |
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| Rok vydání: | 2011 |
| Předmět: | |
| Zdroj: | AIAA Journal. 49:1010-1020 |
| ISSN: | 1533-385X 0001-1452 |
| DOI: | 10.2514/1.j050724 |
| Popis: | A classic issue in component mode synthesis methods is the choice for fixed or free boundary conditions at the interface degrees of freedom and the associated vibration modes in the component's reduction basis. Closely related is the aspect of substructure assembly. In this paper a general approach to mixed boundary component mode synthesis problems is proposed, by considering component reduction and assembly separately. First, a general framework for substructure assembly is presented, enabling assembly of all types of reduced component models, regardless of their interface conditions. Thereafter, a general mixed boundary component mode synthesis method called the mixed Craig―Bampton method is introduced. The method is derived by dividing the substructure degrees of freedom into a set of internal degrees of freedom, free interface degrees of freedom, and fixed interface degrees of freedom using a simple but effective selection scheme. Based on this selection a reduction basis is computed consisting of vibration modes, constraint modes, and residual flexibility modes, which leads to relatively sparse reduced matrices. As such, the mixed Craig―Bampton method forms a natural generalization of the classic Craig―Bampton and more recent dual Craig―Bampton methods. Finally, the method is applied to a test problem, revealing that the proposed method has comparable or better accuracy and superior versatility with respect to existing methods. |
| Databáze: | OpenAIRE |
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