A variegated effective elastic modulus in metabeams under periodically distributed loads

IF 1.9 4区 工程技术 Q3 MECHANICS
Eduard G. Karpov, Debajyoti Saha
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引用次数: 0

Abstract

A class of beam-like lattice structures, or metabeams under static, sinusoidally distributed transverse loads is discussed. Their neutral axis deflects either in-phase, out-of-phase or shows no deflection, depending on the beam design parameters, and also on the spatial frequency of the static load. These outcomes contrast the behavior of continuum beams, deflecting always in-phase with the load, and they are interpreted on the basis of a positive, negative and near-infinite effective Young's modulus of the structured beams in bending. They also represent a collective effect of the behavior of multiple elements in the lattice that cannot be realized from the performance of an isolated unit cell. A long-range periodic order and nonlocality of the lattice interaction is essential for this unusual behaviors, and those are particularly pronounced at higher wavenumbers, when the load wavelength becomes comparable with the range of direct interactions in the lattice. Theoretical discussion and predictions agree well with numerical experiments performed on the basis of commonly accepted models. Practical applications could be found in advanced reinforcing materials for building foundations, deformation mitigation for lightweight structures and bridges, and in smart mechanical systems able to differentiate external stimuli and to respond selectively.

周期性分布荷载作用下元梁的变化有效弹性模量
讨论了一类受静态正弦分布横向荷载作用的类梁点阵结构或元梁。根据梁的设计参数和静载荷的空间频率,它们的中性轴会发生同相、异相或不发生偏转。这些结果与连续梁的行为形成对比,连续梁的偏转总是与荷载同步,并且它们是在结构梁的弯曲有效杨氏模量的正、负和接近无限的基础上解释的。它们还代表了晶格中多个元素行为的集体效应,而这种效应无法从孤立的单元胞的性能中实现。晶格相互作用的长期周期顺序和非局域性对于这种不寻常的行为是必不可少的,当负载波长与晶格中直接相互作用的范围相当时,这些在更高的波数下尤为明显。理论讨论和预测结果与在公认模型基础上进行的数值实验结果一致。实际应用可以在建筑基础的高级加固材料,减轻轻型结构和桥梁的变形,以及能够区分外部刺激并有选择地做出反应的智能机械系统中找到。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
4.10
自引率
4.20%
发文量
114
审稿时长
9 months
期刊介绍: Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.
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