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    Mode Localization Phenomena in Nearly Periodic Systems

    Source: Journal of Applied Mechanics:;1995:;volume( 062 ):;issue: 001::page 141
    Author:
    C. W. Cai
    ,
    Y. K. Cheung
    ,
    H. C. Chan
    DOI: 10.1115/1.2895895
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The normal mode localization in nearly periodic systems with one-degree-of-freedom subsystems and a single subsystem departing from the regularity in one, two, and three dimensions has been studied. The closed-frequency equations may be derived by using the U-transformation technique. It is shown that in one- and two-dimensional problems any amount of simple disorder (for stiffness or mass), however small, is sufficient to localize one mode and in three-dimensional systems, a finite threshold of disorder is needed in order to localize one mode. These conclusions are in agreement with those predicted by Hodges.
    keyword(s): Dimensions , Equations AND Stiffness ,
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      Mode Localization Phenomena in Nearly Periodic Systems

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    http://yetl.yabesh.ir/yetl1/handle/yetl/114938
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    contributor authorC. W. Cai
    contributor authorY. K. Cheung
    contributor authorH. C. Chan
    date accessioned2017-05-08T23:46:32Z
    date available2017-05-08T23:46:32Z
    date copyrightMarch, 1995
    date issued1995
    identifier issn0021-8936
    identifier otherJAMCAV-26361#141_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/114938
    description abstractThe normal mode localization in nearly periodic systems with one-degree-of-freedom subsystems and a single subsystem departing from the regularity in one, two, and three dimensions has been studied. The closed-frequency equations may be derived by using the U-transformation technique. It is shown that in one- and two-dimensional problems any amount of simple disorder (for stiffness or mass), however small, is sufficient to localize one mode and in three-dimensional systems, a finite threshold of disorder is needed in order to localize one mode. These conclusions are in agreement with those predicted by Hodges.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleMode Localization Phenomena in Nearly Periodic Systems
    typeJournal Paper
    journal volume62
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2895895
    journal fristpage141
    journal lastpage149
    identifier eissn1528-9036
    keywordsDimensions
    keywordsEquations AND Stiffness
    treeJournal of Applied Mechanics:;1995:;volume( 062 ):;issue: 001
    contenttypeFulltext
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