Cell size effects for vibration analysis and design of sandwich beams

• 来源期刊: 力学学报（英文版）
• 年，卷（期）: 2009,（3）
• 页码范围: 353-365
• 页数: 13页
• 语种: 英文
• DOI: 10.1007/s10409-009-0230-1

摘要

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 equiv-alence 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 appli-cability. 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 influ-ence vibration responses. The homogenization model agrees exactly with the asymptotic solution of the analytical expres-sion of the beam model only whenever the cell size tends to be infinitely small.