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    Solution of Impact-Induced Flexural Waves in a Circular Ring by the Method of Characteristics

    Source: Journal of Applied Mechanics:;1998:;volume( 065 ):;issue: 003::page 569
    Author:
    V. P. W. Shim
    ,
    S. E. Quah
    DOI: 10.1115/1.2789097
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A study of elastic wave propagation in a curved beam (circular ring) is presented. The governing equations of motion are formulated in two forms based on Timoshenko beam theory. Solutions are obtained using the method of characteristics, whereby a numerical scheme employing higher-order interpolation is proposed for the finite difference equations. Results obtained are verified by experiments; it is found that use of the higher-order numerical scheme improves correlation with experimental results. Comparison of the relative accuracy between the two mathematical formulations—one in terms of generalized forces and velocities and the other in terms of generalized displacements—shows the former to be mathematically simpler and to yield more accurate results.
    keyword(s): Waves , Elastic waves , Equations of motion , Equations , Interpolation AND Force ,
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      Solution of Impact-Induced Flexural Waves in a Circular Ring by the Method of Characteristics

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/119886
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    contributor authorV. P. W. Shim
    contributor authorS. E. Quah
    date accessioned2017-05-08T23:55:37Z
    date available2017-05-08T23:55:37Z
    date copyrightSeptember, 1998
    date issued1998
    identifier issn0021-8936
    identifier otherJAMCAV-26450#569_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/119886
    description abstractA study of elastic wave propagation in a curved beam (circular ring) is presented. The governing equations of motion are formulated in two forms based on Timoshenko beam theory. Solutions are obtained using the method of characteristics, whereby a numerical scheme employing higher-order interpolation is proposed for the finite difference equations. Results obtained are verified by experiments; it is found that use of the higher-order numerical scheme improves correlation with experimental results. Comparison of the relative accuracy between the two mathematical formulations—one in terms of generalized forces and velocities and the other in terms of generalized displacements—shows the former to be mathematically simpler and to yield more accurate results.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleSolution of Impact-Induced Flexural Waves in a Circular Ring by the Method of Characteristics
    typeJournal Paper
    journal volume65
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2789097
    journal fristpage569
    journal lastpage579
    identifier eissn1528-9036
    keywordsWaves
    keywordsElastic waves
    keywordsEquations of motion
    keywordsEquations
    keywordsInterpolation AND Force
    treeJournal of Applied Mechanics:;1998:;volume( 065 ):;issue: 003
    contenttypeFulltext
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