Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems
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- 作者：Marcelo A. Ceballos ; marcelo.ceballos@unc.edu.ar" class="auth_mail" title="E-mail the corresponding author
- 关键词：Hankel transform ; Bessel functions ; Layered media ; Elastodynamics
- 刊名：Journal of Computational and Applied Mathematics
- 出版年：2017
- 出版时间：15 March 2017
- 年：2017
- 卷：313
- 期：Complete
- 页码：355-382
- 全文大小：3321 K
文摘
This paper presents numerical techniques for evaluating integrals of the form
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These integrals arise during the application of the Hankel transform to pass the displacements of a layered soil profile from the wave number domain to the spatial domain in three-dimensional problems of elastodynamics. The objective here is to obtain solutions with an adequate accuracy from the engineering point of view to the integrals that arise in a first order formulation of a wave propagation model widely used for layered soils.class="mathml">class="mathmlsrc">title="View the MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0377042716304721&_mathId=si68.gif&_user=111111111&_pii=S0377042716304721&_rdoc=1&_issn=03770427&md5=68ff1265052a3d20cca8061bd3239a5e">![]()
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