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Cell size effects for vibration analysis and design of sandwich beams
Authors:Gaoming Dai  Weihong Zhang
Institution:(1) Engineering Simulation and Aerospace Computing (ESAC), The Key Laboratory of Contemporary Design and Integrated Manufacturing Technology, Northwestern Polytechnical University, 710072 Xi’an, Shaanxi, China
Abstract:In this work, sandwich beams are studied to reveal the underlying size effects of the periodic core cells for the first time within the framework of free vibration analysis of such an advanced lightweight structure. The energy equivalence method is formulated as a theoretical approach that takes into account the cell size effect. It is compared with the asymptotic homogenization method and direct finite element method systematically to show their consistence and applicability. The accuracy of free vibration responses predicted by the detailed finite element model is used as the standard of comparison. It is shown that the cell size is an important parameter characterizing the cellular core rigidities that influence vibration responses. The homogenization model agrees exactly with the asymptotic solution of the analytical expression of the beam model only whenever the cell size tends to be infinitely small. This project was supported by the National Natural Science Foundation of China (10676028 and 50775184), 973 Program (2006CB601205), Shaanxi Province Science & Technology Project (2006K05-G25), Aeronautical Science Foundation (2008ZA53007) and Doctorate Foundation of Northwestern Polytechnical University (CX200610).
Keywords:Sandwich beam  Size effect  Vibration analysis  Energy equivalence method  Homogenization method
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