Cell size effects for vibration analysis and design of sandwich beams |
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Authors: | Gaoming Dai Weihong Zhang |
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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 |
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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). |
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Keywords: | Sandwich beam Size effect Vibration analysis Energy equivalence method Homogenization method |
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