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COMPUTATIONAL MECHANICS: TECHNIQUES AND DEVELOPMENTS
Edited by: B.H.V. Topping
Component Modal Synthesis Method in Physical Space
N. Bouhaddi and P. Schiavone
Laboratorie de Mécanique Appliquée R. Chaléat, Université de Franche-Comté, Besançon, France
N. Bouhaddi, P. Schiavone, "Component Modal Synthesis Method in Physical Space", in B.H.V. Topping, (Editor), "Computational Mechanics: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 141-147, 2000. doi:10.4203/ccp.66.6.4
The aim of this paper is to present a computing method for eigenmodes or frequency responses from structures whose finite element model is a large one.
It consists in substructuring and condensing each substructure by transforming modal co-ordinates into physical coordinates.
Basically, this method implies defining a Ritz transformation which can represent the dynamic behaviour of each substructure, using its fixed-junction or free-junction modes associated with the static modes. We may then describe the behaviour of a substructure appropriately from a condensed model defined as a function of the physical dofs only. These dofs are divided into junction dofs useful for coupling, and a few internal dofs which may a priori be partly fixed.
Two numerical examples are presented to illustrate the capacity of the proposed method as compared to the classical component modal synthesis methods : Craig-Bampton's fixed-interface method. Guyan's static condensation method and a free-interface variant of MacNeal's method.
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