arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1509.04094physics.class-ph
收藏

声学超材料中负密度和负模量的起源

Origin of Negative Density and Modulus in Acoustic Metamaterials

Sam Hyeon Lee, Oliver B. Wright

摘要:

本文综述了声学超材料的有效密度和有效模量的研究进展,并给出了基本的物理解释。我们介绍了隐藏的力量和隐藏的体积源的术语:有效的密度或模量是负的,当隐藏的力量或体积源是大于,并在反相操作,分别到力或体积的变化,将获得在他们的缺席。我们证明了这一点的一些既定的声学超材料与元件的基础上膜,亥姆霍兹共振器,弹簧和群众。例如,基于膜的声学超材料的隐藏力是来自膜张力的力。基于亥姆霍兹谐振器的超材料的隐藏源是从谐振腔注入的额外空气体积。我们还解释了纯质量弹簧系统的类似概念,在这种情况下,隐藏的力可以从固定在其他质量中的质量和弹簧中产生,而隐藏的源(在这种情况下更恰当地称为位移的隐藏扩展器)可以由耦合到用于机械运动的额外自由度的轻质刚性桁架产生,例如耦合到与波成直角移动的质量的情况,传播方向这一整体图景为新型声学超材料的概念理解和设计提供了强有力的工具,并避免了在确定此类材料的有效参数时所涉及的常见陷阱。

英文摘要:

This paper provides a review and fundamental physical interpretation for the effective densities and moduli of acoustic metamaterials. We introduce the terminology of hidden force and hidden source of volume: the effective density or modulus is negative when the hidden force or source of volume is larger than, and operates in antiphase to, respectively, the force or volume change that would be obtained in their absence. We demonstrate this ansatz for some established acoustic metamaterials with elements based on membranes, Helmholtz resonators, springs and masses. The hidden force for membrane-based acoustic metamaterials, for instance, is the force from the membrane tension. The hidden source for a Helmholtz-resonator-based metamaterial is the extra air volume injected from the resonator cavity. We also explain the analogous concepts for pure mass-and-spring systems, in which case hidden forces can arise from masses and springs fixed inside other masses, whereas hidden sources - more aptly termed hidden expanders of displacement in this case - can arise from light rigid trusses coupled to extra degrees of freedom for mechanical motion such as the case of coupling to masses that move at right angles to the wave-propagation direction. This overall picture provides a powerful tool for conceptual understanding and design of new acoustic metamaterials, and avoids common pitfalls involved in determining the effective parameters of such materials.

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。

↑