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Cell size effects for vibration analysis and design of sandwich beams

Acta Mechanica Sinica 2009年第3期25卷 353-365页

作者： gaoming dai weihong zhang engineering simulation and aerospace computing (ESAC), the key laboratory of contemporary design and integrated manufacturing technology, northwestern polytechnical university, 710072 xi’an, shaanxi, china engineering simulation and aerospace computing (ESAC) The Key Laboratory of Contemporary Design and Integrated Manufacturing Technology Northwestern Polytechnical University 710072 Xi’an Shaanxi China

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.

关键词： Sandwich beamanalysis Energy equivalencemethodSize effect Vibrationmethod Homogenization

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Size effects of effective Young's modulus for periodic cellular materials

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Science china(Physics,Mechanics & Astronomy) 2009年第8期52卷 1262-1270页

作者： dai gaoming zhang weihong engineering simulation and aerospace computing Key Laboratory of Contemporary Design&Integrated Manufacturing TechnologyNorthwestern Polytechnical UniversityXi’an 710072China

With the wide demands of cellular materials applications in aerospace and civil engineering,research effort sacrificed for this type of materials attains nowadays a higher level than ever *** paper is focused on the prediction methods of effective Young's modulus for periodical cellular *** on comprehensive studies of the existing homogenization method(HM),the G-A meso-mechanics method(G-A MMM) and the stretching energy method(SEM) that are unable to reflect the size effect,we propose the bending energy method(BEM) for the first time,and a comparative study of these four methods is further made to show the generality and the capability of capturing the size effect of the BEM ***,the underlying characteristics of each method and their relations are *** do this,the detailed finite element computing and existing experimental results of hexagonal honeycombs from the literature are adopted as the standard of comparison for the above four *** and bending models of periodical cellular materials are taken into account,respectively for the comparison of stretch and flexural displacements resulting from the above *** conclude that the BEM has the strong ability of both predicting the effective Young's modulus and revealing the size *** a method is also able to predict well the variations of structural displacements in terms of the cell size under stretching and bending loads including the non-monotonous variations for the hexagonal *** the contrary,other three methods can only predict the limited results whenever the cell size tends to be infinitely small.

关键词： periodic cellular materials effective Young’s modulus size effect bending energy method homogenization method G-A mesomechanics method stretching energy method

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