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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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