Transient response of an acoustic half-space to a rotating point load
Author:
Kazumi Watanabe
Journal:
Quart. Appl. Math. 36 (1978), 39-48
MSC:
Primary 78.44
DOI:
https://doi.org/10.1090/qam/471642
MathSciNet review:
471642
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Abstract: This paper presents a solution of three-dimensional problems for nonuniformly moving loads. By using Cagniard’s technique, the problem is reduced to a change in the order of integration. The technique has no restrictions on the velocity variation and on the trajectory of the load.
A. T. De Hoop, A modification of Cagniard’s method for solving seismic pulse problems, Appl. Sci. Res. B 8, 349–356 (1960)
D. C. Gakenheimer and J. Miklowitz, Transient Excitation of an elastic half space by a point load traveling on the surface, J. Appl. Mech. 36, 505–515 (1969)
D. C. Gakenheimer, Response of an elastic half space to expanding surface load, J. Appl. Mech. 38, 99–110 (1971)
- Dang Dinh Ang, Transient motion of a line load on the surface of an elastic half-space, Quart. Appl. Math. 18 (1960/61), 251–256. MR 114399, DOI https://doi.org/10.1090/S0033-569X-1960-0114399-0
L. B. Freund, Wave motion in an elastic solid due to a non-uniformly moving load, Quart. Appl. Math. 30, 271–281 (1972)
L. B. Freund, The response of an elastic solid to non-uniformly moving surface loads, J. Appl. Mech. 40, 699–704 (1973)
K. Watanabe, Transient response of an elastic half space subjected to a reciporcating anti-plane shear load, J. Appl. Mech., 43, 625–629 (1976)
K. Watanabe, Transient response of a layered elastic half space subjected to a reciprocating anti-plane shear load, Int. J. Solids Struct. 13, 63–74 (1977)
A. T. De Hoop, A modification of Cagniard’s method for solving seismic pulse problems, Appl. Sci. Res. B 8, 349–356 (1960)
D. C. Gakenheimer and J. Miklowitz, Transient Excitation of an elastic half space by a point load traveling on the surface, J. Appl. Mech. 36, 505–515 (1969)
D. C. Gakenheimer, Response of an elastic half space to expanding surface load, J. Appl. Mech. 38, 99–110 (1971)
D. D. Ang, Transient motion of a line load on the surface of an elastic half space, Quart. Appl. Math. 18, 251–256 (1960)
L. B. Freund, Wave motion in an elastic solid due to a non-uniformly moving load, Quart. Appl. Math. 30, 271–281 (1972)
L. B. Freund, The response of an elastic solid to non-uniformly moving surface loads, J. Appl. Mech. 40, 699–704 (1973)
K. Watanabe, Transient response of an elastic half space subjected to a reciporcating anti-plane shear load, J. Appl. Mech., 43, 625–629 (1976)
K. Watanabe, Transient response of a layered elastic half space subjected to a reciprocating anti-plane shear load, Int. J. Solids Struct. 13, 63–74 (1977)
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Article copyright:
© Copyright 1978
American Mathematical Society
