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    Free Vibration Analysis of Stiffened Plates by Including the Effect of Inplane Inertia

    Source: Journal of Applied Mechanics:;1982:;volume( 049 ):;issue: 001::page 206
    Author:
    G. Aksu
    DOI: 10.1115/1.3161972
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A method based on the variational principles in conjunction with the finite difference technique is applied to determine the dynamic characteristic of eccentrically stiffened plates. The inplane deformations in both directions of the plate have been considered and the inplane inertia has been included into the analysis. The strain and kinetic energy for the plate and the stiffener are expressed in terms of discrete displacement components using the finite difference method. The energy functional is minimized with respect to discretized displacement components and the natural frequencies and corresponding mode shapes are obtained from the solution of a linear eigenvalue problem. The effect of inplane deformations of the plate and the stiffener and also the effect of inplane inertia on free vibration characteristics of uniaxial and cross-stiffened plates have been examined.
    keyword(s): Inertia (Mechanics) , Plates (structures) , Free vibrations , Displacement , Deformation , Kinetic energy , Variational principles , Eigenvalues , Finite difference methods , Frequency AND Shapes ,
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      Free Vibration Analysis of Stiffened Plates by Including the Effect of Inplane Inertia

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    https://yetl.yabesh.ir/yetl1/handle/yetl/95472
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    contributor authorG. Aksu
    date accessioned2017-05-08T23:12:43Z
    date available2017-05-08T23:12:43Z
    date copyrightMarch, 1982
    date issued1982
    identifier issn0021-8936
    identifier otherJAMCAV-26193#206_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/95472
    description abstractA method based on the variational principles in conjunction with the finite difference technique is applied to determine the dynamic characteristic of eccentrically stiffened plates. The inplane deformations in both directions of the plate have been considered and the inplane inertia has been included into the analysis. The strain and kinetic energy for the plate and the stiffener are expressed in terms of discrete displacement components using the finite difference method. The energy functional is minimized with respect to discretized displacement components and the natural frequencies and corresponding mode shapes are obtained from the solution of a linear eigenvalue problem. The effect of inplane deformations of the plate and the stiffener and also the effect of inplane inertia on free vibration characteristics of uniaxial and cross-stiffened plates have been examined.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleFree Vibration Analysis of Stiffened Plates by Including the Effect of Inplane Inertia
    typeJournal Paper
    journal volume49
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3161972
    journal fristpage206
    journal lastpage212
    identifier eissn1528-9036
    keywordsInertia (Mechanics)
    keywordsPlates (structures)
    keywordsFree vibrations
    keywordsDisplacement
    keywordsDeformation
    keywordsKinetic energy
    keywordsVariational principles
    keywordsEigenvalues
    keywordsFinite difference methods
    keywordsFrequency AND Shapes
    treeJournal of Applied Mechanics:;1982:;volume( 049 ):;issue: 001
    contenttypeFulltext
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