Authors: Gaoming Dai Weihong Zhang
Publish Date: 2009/02/21
Volume: 25, Issue: 3, Pages: 353-365
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 smallThis project was supported by the National Natural Science Foundation of China 10676028 and 50775184 973 Program 2006CB601205 Shaanxi Province Science Technology Project 2006K05G25 Aeronautical Science Foundation 2008ZA53007 and Doctorate Foundation of Northwestern Polytechnical University CX200610
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