Axi-symmetric eigenmodes for an elastic semi-infinite circular cylindrical rod

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Published: Oct 1, 1994
DOI: https://doi.org/10.22201/igeof.00167169p.1994.33.4.588
Keywords:
Circular cylinder, eigenmodes

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Pratap N. Sahay
Centro de Investigación Científica y Educación Superior de Ensenada, Ensenada, México
Anton Z. Capri
Department of Physics, University of Alberta, Edmonton, Canadá

Abstract

We have constructed a complete orthonormal set of axi-symmetric eigenmodes for the displacement field inside an elastic, homogeneous and isotropic semi-infmite cylindrical rod with semi-rigid boundary conditions on the curved surface of the rod and stress-free boundary conditions on the flat surface capping the rod.

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How to Cite
Sahay, P. N., & Capri, A. Z. (1994). Axi-symmetric eigenmodes for an elastic semi-infinite circular cylindrical rod. Geofisica Internacional, 33(4), 541–545. https://doi.org/10.22201/igeof.00167169p.1994.33.4.588
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Vol. 33 No. 4 (1994): October 1, 1994
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Article
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Author Biographies

Pratap N. Sahay, Centro de Investigación Científica y Educación Superior de Ensenada, Ensenada, México

 

 

Anton Z. Capri, Department of Physics, University of Alberta, Edmonton, Canadá

 

 

References

KIM, Y. Y. and C. R. STEELE, 1989. End effects and time harmonic longitudinal wave propagation in a semi-infinite solid cylinder. ASME Journal of Applied Mechanics, 56, 334-346. DOI: https://doi.org/10.1115/1.3176088

SAHAY, P. N. and A. Z. CAPRI, 1988. Elastodynamics of a quarterspace with one boundary semi-rigid and the other stress-free. Geophysical Journal, 92, 235-252. DOI: https://doi.org/10.1111/j.1365-246X.1988.tb01137.x

SAHAY, P. N. and A. Z. CAPRI, 1989. Eigenmodes for an elastic halfspace surrounding a semi-rigid cylinder. Wave Motion, 11, 407-417. DOI: https://doi.org/10.1016/0165-2125(89)90015-2

WATSON, G. N., 1952. Theory of Bessel Functions, 2nd. Ed., Cambridge University Press.