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    In-Plane Vibration of Annular Disks Using Finite Elements

    Source: Journal of Mechanical Design:;1980:;volume( 102 ):;issue: 003::page 585
    Author:
    V. Srinivasan
    ,
    V. Ramamurti
    DOI: 10.1115/1.3254789
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The axisymmetric and asymmetric in-plane, free vibration of annular disks using the finite element method is discussed. The in-plane behavior is analyzed by annular ring segments using a Fourier series approach to model the problem asymmetries. Using displacement functions which are exact solutions to the in-plane static problem, the stiffness matrices corresponding to the 0 th, 1st and nth harmonics are derived. By assuming that the static displacement functions closely represent the vibration modes, the mass matrices for various harmonics are also derived. These matrices can be readily coded into any special or general purpose structural analysis computer programs. Results of example problems are compared with exact solutions.
    keyword(s): Finite element analysis , Vibration AND Disks ,
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      In-Plane Vibration of Annular Disks Using Finite Elements

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    contributor authorV. Srinivasan
    contributor authorV. Ramamurti
    date accessioned2017-05-08T23:09:31Z
    date available2017-05-08T23:09:31Z
    date copyrightJuly, 1980
    date issued1980
    identifier issn1050-0472
    identifier otherJMDEDB-27979#585_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/93680
    description abstractThe axisymmetric and asymmetric in-plane, free vibration of annular disks using the finite element method is discussed. The in-plane behavior is analyzed by annular ring segments using a Fourier series approach to model the problem asymmetries. Using displacement functions which are exact solutions to the in-plane static problem, the stiffness matrices corresponding to the 0 th, 1st and nth harmonics are derived. By assuming that the static displacement functions closely represent the vibration modes, the mass matrices for various harmonics are also derived. These matrices can be readily coded into any special or general purpose structural analysis computer programs. Results of example problems are compared with exact solutions.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleIn-Plane Vibration of Annular Disks Using Finite Elements
    typeJournal Paper
    journal volume102
    journal issue3
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.3254789
    journal fristpage585
    journal lastpage588
    identifier eissn1528-9001
    keywordsFinite element analysis
    keywordsVibration AND Disks
    treeJournal of Mechanical Design:;1980:;volume( 102 ):;issue: 003
    contenttypeFulltext
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