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    Construction of a Consistent Damping Matrix

    Source: Journal of Applied Mechanics:;1988:;volume( 055 ):;issue: 002::page 443
    Author:
    K. J. Buhariwala
    ,
    J. S. Hansen
    DOI: 10.1115/1.3173696
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A general method for constructing a material damping matrix in dynamical systems based on viscoelastic assumptions is presented. A generalization of the classical lamination theory, in particular, the consideration of viscoelasticity in the constitutive relation is considered. The discretized equations of motion for a laminated anisotropic viscoelastic plate using the finite-element method are derived. The mass, damping and stiffness matrices are completely defined and arise consistently in the formulation of motion equations. The technique is illustrated by calculating the mass, damping and stiffness matrices of a graphite-reinforced epoxy shell element. The eigenvalues are then calculated for the resulting eigenproblem.
    keyword(s): Construction , Damping , Equations of motion , Stiffness , Finite element methods , Viscoelasticity , Epoxy adhesives , Dynamic systems , Eigenvalues , Graphite , Laminations AND Shells ,
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      Construction of a Consistent Damping Matrix

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    http://yetl.yabesh.ir/yetl1/handle/yetl/103554
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    contributor authorK. J. Buhariwala
    contributor authorJ. S. Hansen
    date accessioned2017-05-08T23:26:37Z
    date available2017-05-08T23:26:37Z
    date copyrightJune, 1988
    date issued1988
    identifier issn0021-8936
    identifier otherJAMCAV-26294#443_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/103554
    description abstractA general method for constructing a material damping matrix in dynamical systems based on viscoelastic assumptions is presented. A generalization of the classical lamination theory, in particular, the consideration of viscoelasticity in the constitutive relation is considered. The discretized equations of motion for a laminated anisotropic viscoelastic plate using the finite-element method are derived. The mass, damping and stiffness matrices are completely defined and arise consistently in the formulation of motion equations. The technique is illustrated by calculating the mass, damping and stiffness matrices of a graphite-reinforced epoxy shell element. The eigenvalues are then calculated for the resulting eigenproblem.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleConstruction of a Consistent Damping Matrix
    typeJournal Paper
    journal volume55
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3173696
    journal fristpage443
    journal lastpage447
    identifier eissn1528-9036
    keywordsConstruction
    keywordsDamping
    keywordsEquations of motion
    keywordsStiffness
    keywordsFinite element methods
    keywordsViscoelasticity
    keywordsEpoxy adhesives
    keywordsDynamic systems
    keywordsEigenvalues
    keywordsGraphite
    keywordsLaminations AND Shells
    treeJournal of Applied Mechanics:;1988:;volume( 055 ):;issue: 002
    contenttypeFulltext
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