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    Dynamics of Plane Motion of an Elastic Rod

    Source: Journal of Applied Mechanics:;1996:;volume( 063 ):;issue: 002::page 392
    Author:
    T. M. Atanackovic
    ,
    L. J. Cveticanin
    DOI: 10.1115/1.2788877
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Plane motion of an elastic rod, subjected to a compressive force is analyzed. Equations of motions are derived for the case when deformations are not small. It is assumed that the compressive force has a periodic component, so that parametric instability is possible. Stability boundary is estimated analytically and determined numerically. In the special case of static loading a new formula for the slenderness ratio, below which there is no buckling, is obtained. In deriving the differential equations of motion a generalized constitutive equations taking in to account compressibility and shear stresses are used.
    keyword(s): Motion , Dynamics (Mechanics) , Force , Stability , Compressibility , Deformation , Stress , Shear (Mechanics) , Constitutive equations , Differential equations , Buckling , Equations AND Formulas ,
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      Dynamics of Plane Motion of an Elastic Rod

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    http://yetl.yabesh.ir/yetl1/handle/yetl/116453
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    contributor authorT. M. Atanackovic
    contributor authorL. J. Cveticanin
    date accessioned2017-05-08T23:49:13Z
    date available2017-05-08T23:49:13Z
    date copyrightJune, 1996
    date issued1996
    identifier issn0021-8936
    identifier otherJAMCAV-26392#392_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/116453
    description abstractPlane motion of an elastic rod, subjected to a compressive force is analyzed. Equations of motions are derived for the case when deformations are not small. It is assumed that the compressive force has a periodic component, so that parametric instability is possible. Stability boundary is estimated analytically and determined numerically. In the special case of static loading a new formula for the slenderness ratio, below which there is no buckling, is obtained. In deriving the differential equations of motion a generalized constitutive equations taking in to account compressibility and shear stresses are used.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDynamics of Plane Motion of an Elastic Rod
    typeJournal Paper
    journal volume63
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2788877
    journal fristpage392
    journal lastpage398
    identifier eissn1528-9036
    keywordsMotion
    keywordsDynamics (Mechanics)
    keywordsForce
    keywordsStability
    keywordsCompressibility
    keywordsDeformation
    keywordsStress
    keywordsShear (Mechanics)
    keywordsConstitutive equations
    keywordsDifferential equations
    keywordsBuckling
    keywordsEquations AND Formulas
    treeJournal of Applied Mechanics:;1996:;volume( 063 ):;issue: 002
    contenttypeFulltext
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