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Evaluation of Effective Stiffness for 3D Beam with Repeated Structure  

Chung, Il-Sup (School of Mechanical Engineering, Yeungnam University)
Publication Information
International Journal of Precision Engineering and Manufacturing / v.7, no.2, 2006 , pp. 25-29 More about this Journal
Abstract
Analysis of structures which are composed of numerous repeated unit structures can be simplified by using homogenized properties. If the unit structure is repeated in one direction, the whole structure may be regarded as a beam. Once the effective stiffness is obtained from the analysis of the unit structure in a proper way, the effort for the detail modeling of the global structure is not required, and the real structure can be replaced simply with a beam. This study proposes a kinematical periodicity constraint to be imposed on the FE model of the unit structure, which improves the accuracy of the effective stiffness. The method is employed to a one dimensionally arrayed 3D structure containing periodically repeated unsymmetrical holes. It is demonstrated that the deformation behavior of the homogenized beam agrees well with that of the real structure.
Keywords
Repeated structure; Homogenization; 3D beam; Effective stiffness; Periodicity constraint; Finite element method;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
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