Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:313

Article

Ceballos, Marcelo A.^1,2 

[1] Univ Nacl Cordoba, Fac Ciencias Exactas Fis & Nat, Cordoba, Argentina

[2] Consejo Nacl Invest Cient & Tecn CONICET, Buenos Aires, DF, Argentina

关键词: Hankel transform;    Bessel functions;    Layered media;    Elastodynamics;   

DOI  :  10.1016/j.cam.2016.09.043

来源: Elsevier

【 摘 要 】

This paper presents numerical techniques for evaluating integrals of the form integral(infinity)(0) J(beta)(k rho)J(gamma)(kR)/k(alpha)(k - s) dk. 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. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free