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

共 25 条

[1] Band gap synthesis in elastic monatomic lattices via input shaping [J].

Al Ba'ba'a, H. ;

Callanan, J. ;

Nouh, M. ;

Singh, T. .

MECCANICA, 2018, 53 (11-12) :3105-3122

[2] Dispersion transitions and pole-zero characteristics of finite inertially amplified acoustic metamaterials [J].

Al Ba'ba'a, H. ;

DePauw, D. ;

Singh, T. ;

Nouh, M. .

JOURNAL OF APPLIED PHYSICS, 2018, 123 (10)

[3] Formation of local resonance band gaps in finite acoustic metamaterials: A closed-form transfer function model [J].

Al Ba'ba'a, H. ;

Nouh, M. ;

Singh, T. .

JOURNAL OF SOUND AND VIBRATION, 2017, 410 :429-446

[4] Pole distribution in finite phononic crystals: Understanding Bragg-effects through closed-form system dynamics [J].

Al Ba'ba'a, H. ;

Nouh, M. ;

Singh, T. .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2017, 142 (03) :1399-1412

[5] Metadamping: Dissipation Emergence in Elastic Metamaterials [J].

Bacquet, Clemence L. ;

Al Ba'ba'a, Hasan ;

Frazier, Michael J. ;

Nouh, Mostafa ;

Hussein, Mahmoud I. .

ADVANCES IN CRYSTALS AND ELASTIC METAMATERIALS, PT 1, 2018, 51 :115-164

[6] Active acoustic metamaterial with tunable effective density using a disturbance rejection controller [J].

Baz, Amr .

JOURNAL OF APPLIED PHYSICS, 2019, 125 (07)

[7] Uncertainty Propagation in the Band Gap Structure of a 1D Array of Magnetically Coupled Oscillators [J].

Bernard, Brian P. ;

Owens, Benjamin A. M. ;

Mann, Brian P. .

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2013, 135 (04)

[8] Tunable directivity in metamaterials with reconfigurable cell symmetry [J].

Celli, Paolo ;

Gonella, Stefano .

APPLIED PHYSICS LETTERS, 2015, 106 (09)

[9] Band Gap Control in an Active Elastic Metamaterial With Negative Capacitance Piezoelectric Shunting [J].

Chen, Y. Y. ;

Huang, G. L. ;

Sun, C. T. .

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2014, 136 (06)

[10] Band Gaps in a Multiresonator Acoustic Metamaterial [J].

Huang, G. L. ;

Sun, C. T. .

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2010, 132 (03) :0310031-0310036

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