Control of Spatial Wave Profiles in Finite Lattices of Repelling Magnets

被引：2

作者：

Al Ba'ba'a, H. ^{[1
]}

Nouh, M. ^{[1
]}

机构：

[1] Univ Buffalo SUNY, Dept Mech & Aerosp Engn, Bulfalo, NY 14260 USA

来源：

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 2019年 / 141卷 / 11期

基金：

美国国家科学基金会;

关键词：

magnetic lattice; wave control; dispersion analysis;

D O I：

10.1115/1.4044275

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We report on the control of the spatial wave profile of a chain of lumped magnets arranged in a repelling configuration. The spatial wave attributes are controlled by varying the spacing between the magnets, which in turn affects the equivalent stiffness of the lattice. The dispersion relation for an infinite lattice is first derived for linearized equations of motion to provide an insight into the effect of varying the lattice spacing on the wavelength and sonic speed. The unit cell analysis is verified using analytical spatial wave profiles for a finite magnetic lattice. We conclude the paper with an analytical derivation of a fuel/time optimal controller designed to control the spacing between the magnets, which is necessary for implementation aspects.

引用

页数：7

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