Periodic and Near-Periodic Structures

Extensive work has been done on the vibration characteristics of perfectly periodic structures. This article reviews the different methods of analysis from several fields of study, for example solid-state physics and civil, mechanical, and aerospace engineering, used to determine the effects of diso...

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Main Authors: S. S. Mester, H. Benaroya
Format: Article
Language:English
Published: Wiley 1995-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-1995-2107
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author S. S. Mester
H. Benaroya
author_facet S. S. Mester
H. Benaroya
author_sort S. S. Mester
collection DOAJ
description Extensive work has been done on the vibration characteristics of perfectly periodic structures. This article reviews the different methods of analysis from several fields of study, for example solid-state physics and civil, mechanical, and aerospace engineering, used to determine the effects of disorder in one-dimensional (1-D) and 2-D periodic structures. In the work examined, disorder has been found to lead to localization in 1-D periodic structures. It is important to understand localization because it causes energy to be concentrated near the disorder and may cause an overestimation of structural damping. The implications of localization for control are also examined.
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spelling doaj-art-9fee8afa02a14a1e8055e209864aa2402025-08-20T02:20:41ZengWileyShock and Vibration1070-96221875-92031995-01-0121699510.3233/SAV-1995-2107Periodic and Near-Periodic StructuresS. S. Mester0H. Benaroya1Department of Mechanical and Aerospace Engineering, Rutgers The State University of New Jersey, New Brunswick, NJ, USADepartment of Mechanical and Aerospace Engineering, Rutgers The State University of New Jersey, New Brunswick, NJ, USAExtensive work has been done on the vibration characteristics of perfectly periodic structures. This article reviews the different methods of analysis from several fields of study, for example solid-state physics and civil, mechanical, and aerospace engineering, used to determine the effects of disorder in one-dimensional (1-D) and 2-D periodic structures. In the work examined, disorder has been found to lead to localization in 1-D periodic structures. It is important to understand localization because it causes energy to be concentrated near the disorder and may cause an overestimation of structural damping. The implications of localization for control are also examined.http://dx.doi.org/10.3233/SAV-1995-2107
spellingShingle S. S. Mester
H. Benaroya
Periodic and Near-Periodic Structures
Shock and Vibration
title Periodic and Near-Periodic Structures
title_full Periodic and Near-Periodic Structures
title_fullStr Periodic and Near-Periodic Structures
title_full_unstemmed Periodic and Near-Periodic Structures
title_short Periodic and Near-Periodic Structures
title_sort periodic and near periodic structures
url http://dx.doi.org/10.3233/SAV-1995-2107
work_keys_str_mv AT ssmester periodicandnearperiodicstructures
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