Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems
This paper presents numerical techniques for evaluating integrals of the form ∫0 ∞ 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 elastodyn...
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2017 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/72258 |
| Online Access: | http://hdl.handle.net/11336/72258 |
| Access Level: | Open access |
| Keyword: | Bessel Functions Elastodynamics Hankel Transform Layered Media https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Summary: | This paper presents numerical techniques for evaluating integrals of the form ∫0 ∞ 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. |
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