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arXiv 1306.1014cond-mat.softcond-mat.mes-hall
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磁链:从自屈曲到自组装

Magnetic chains: From self-buckling to self-assembly

Dominic Vella, Emmanuel du Pontavice, Cameron L. Hall, Alain Goriely

摘要:

球形钕铁硼磁体是一种永磁体,由于其高的磁强度,可以组装成各种结构。这些磁体的一维链以使人想起弹性杆的方式响应机械负载。我们研究了铁磁球组装的宏观力学性质,考虑链,环,和手征圆柱体的磁铁。能量估计和简单的实验的基础上,我们引入了一个有效的磁弯曲刚度的磁铁链,并表明,与经典的弹性杆的结果,它提供了很好的估计磁链的屈曲和振动动力学。然后,我们用这个估计来了解动态自组装的圆柱体从一个最初的直链的磁铁。

英文摘要:

Spherical neodymium-iron-boron magnets are perman-ent magnets that can be assembled into a variety of structures due to their high magnetic strength. A one-dimensional chain of these magnets responds to mechanical loadings in a manner reminiscent of an elastic rod. We investigate the macroscopic mechanical properties of assemblies of ferromagnetic spheres by considering chains, rings, and chiral cylinders of magnets. Based on energy estimates and simple experiments, we introduce an effective magnetic bending stiffness for a chain of magnets and show that, used in conjunction with classic results for elastic rods, it provides excellent estimates for the buckling and vibration dynamics of magnetic chains. We then use this estimate to understand the dynamic self-assembly of a cylinder from an initially straight chain of magnets.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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