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 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.