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    Bounds on Motions of Some Lumped and Continuous Dynamic Systems

    Source: Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 001::page 251
    Author:
    R. H. Plaut
    ,
    E. F. Infante
    DOI: 10.1115/1.3422621
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Lumped and continuous systems subjected to general dynamic loads or perturbations are considered. The motions of these systems are assumed to be described by ordinary or partial differential equations with time-varying forcing terms. Upper bounds on the motions are derived with a Liapunov type of approach. The results are applied to some structural dynamics problems. Displacement bounds are determined for elastic columns, plates, and arches, and sufficient conditions for stability of arches against dynamic “snap-through” are obtained.
    keyword(s): Motion , Dynamic systems , Arches , Displacement , Partial differential equations , Stability , Plates (structures) , Stress AND Structural dynamics ,
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      Bounds on Motions of Some Lumped and Continuous Dynamic Systems

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    contributor authorR. H. Plaut
    contributor authorE. F. Infante
    date accessioned2017-05-09T01:21:45Z
    date available2017-05-09T01:21:45Z
    date copyrightMarch, 1972
    date issued1972
    identifier issn0021-8936
    identifier otherJAMCAV-25956#251_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/159111
    description abstractLumped and continuous systems subjected to general dynamic loads or perturbations are considered. The motions of these systems are assumed to be described by ordinary or partial differential equations with time-varying forcing terms. Upper bounds on the motions are derived with a Liapunov type of approach. The results are applied to some structural dynamics problems. Displacement bounds are determined for elastic columns, plates, and arches, and sufficient conditions for stability of arches against dynamic “snap-through” are obtained.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleBounds on Motions of Some Lumped and Continuous Dynamic Systems
    typeJournal Paper
    journal volume39
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3422621
    journal fristpage251
    journal lastpage256
    identifier eissn1528-9036
    keywordsMotion
    keywordsDynamic systems
    keywordsArches
    keywordsDisplacement
    keywordsPartial differential equations
    keywordsStability
    keywordsPlates (structures)
    keywordsStress AND Structural dynamics
    treeJournal of Applied Mechanics:;1972:;volume( 039 ):;issue: 001
    contenttypeFulltext
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