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    The Application of Continued Fractions to Wave Propagation in a Semi-Infinite Elastic Cylindrical Membrane

    Source: Journal of Applied Mechanics:;1969:;volume( 036 ):;issue: 003::page 420
    Author:
    J. E. Akin
    ,
    J. Counts
    DOI: 10.1115/1.3564696
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The Laplace transform of the axial stress resultant in an impacting semi-infinite elastic cylindrical membrane is generated in the form of an exponential function involving the wave speed, and a series in powers of the reciprocal of the transform parameter. Continued fractions are used to obtain rational approximations for the transform represented by the series. The rational approximations, which are in the form of the ratio of two polynomials, are inverted by standard techniques. Results are presented for the axial stress resultant for small and large values of time and are compared with previously published results.
    keyword(s): Wave propagation , Membranes , Stress , Approximation , Laplace transforms , Waves AND Polynomials ,
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      The Application of Continued Fractions to Wave Propagation in a Semi-Infinite Elastic Cylindrical Membrane

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    http://yetl.yabesh.ir/yetl1/handle/yetl/131524
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    contributor authorJ. E. Akin
    contributor authorJ. Counts
    date accessioned2017-05-09T00:15:41Z
    date available2017-05-09T00:15:41Z
    date copyrightSeptember, 1969
    date issued1969
    identifier issn0021-8936
    identifier otherJAMCAV-25895#420_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/131524
    description abstractThe Laplace transform of the axial stress resultant in an impacting semi-infinite elastic cylindrical membrane is generated in the form of an exponential function involving the wave speed, and a series in powers of the reciprocal of the transform parameter. Continued fractions are used to obtain rational approximations for the transform represented by the series. The rational approximations, which are in the form of the ratio of two polynomials, are inverted by standard techniques. Results are presented for the axial stress resultant for small and large values of time and are compared with previously published results.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Application of Continued Fractions to Wave Propagation in a Semi-Infinite Elastic Cylindrical Membrane
    typeJournal Paper
    journal volume36
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3564696
    journal fristpage420
    journal lastpage424
    identifier eissn1528-9036
    keywordsWave propagation
    keywordsMembranes
    keywordsStress
    keywordsApproximation
    keywordsLaplace transforms
    keywordsWaves AND Polynomials
    treeJournal of Applied Mechanics:;1969:;volume( 036 ):;issue: 003
    contenttypeFulltext
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