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    Parametric Resonance of Skew Stiffened Plates

    Source: Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 002::page 439
    Author:
    R. G. Merritt
    ,
    N. Willems
    DOI: 10.1115/1.3423003
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An investigation of the region of principal resonance of low-order spatial modes of an in-plane loaded, skew stiffened plate is considered. Hamilton’s principle is used to arrive at the equation of motion in which plate stiffening is accounted for through discrete representation. The method of averaging in the first approximation reduces the equation of motion to two independent equations which are subsequently solved by a perturbation technique in order to determine boundary curves for the principal region of resonance. Selected numerical examples indicate the effect of variation of skew angle and stiffening on the principal region of resonance. A brief discussion of problems inherent in this consideration of simply supported skew plates is included.
    keyword(s): Resonance , Plates (structures) , Equations of motion , Hamilton's principle , Approximation AND Equations ,
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      Parametric Resonance of Skew Stiffened Plates

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    contributor authorR. G. Merritt
    contributor authorN. Willems
    date accessioned2017-05-09T01:35:56Z
    date available2017-05-09T01:35:56Z
    date copyrightJune, 1973
    date issued1973
    identifier issn0021-8936
    identifier otherJAMCAV-25982#439_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/163482
    description abstractAn investigation of the region of principal resonance of low-order spatial modes of an in-plane loaded, skew stiffened plate is considered. Hamilton’s principle is used to arrive at the equation of motion in which plate stiffening is accounted for through discrete representation. The method of averaging in the first approximation reduces the equation of motion to two independent equations which are subsequently solved by a perturbation technique in order to determine boundary curves for the principal region of resonance. Selected numerical examples indicate the effect of variation of skew angle and stiffening on the principal region of resonance. A brief discussion of problems inherent in this consideration of simply supported skew plates is included.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleParametric Resonance of Skew Stiffened Plates
    typeJournal Paper
    journal volume40
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3423003
    journal fristpage439
    journal lastpage444
    identifier eissn1528-9036
    keywordsResonance
    keywordsPlates (structures)
    keywordsEquations of motion
    keywordsHamilton's principle
    keywordsApproximation AND Equations
    treeJournal of Applied Mechanics:;1973:;volume( 040 ):;issue: 002
    contenttypeFulltext
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