The traveling point load revisited

Wave Motion

Volumn 29, Issue 2, 1999, Pages 119-135

  Bakker, M C M ^a   Verweij, M D ^b   Kooij, B J ^b   Dieterman, H A ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b Faculty of Information Technology and Systems   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001473082     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0165-2125(98)00029-8     Document Type: Article

References (21)

1. I.N. Sneddon, Fourier Transforms, McGraw-Hill, New York, 1951.
2. J. Cole, J. Huth, Stress produced in a half-space by moving loads, J. Appl. Mech. 25 (1958) 433.
3. G. Eason, The stress produced in a semi-infinite solid by moving surface force, Int. J. Eng. Sci. 2 (1965) 581.
4. D.L. Lansing, The displacements in an elastic half-space due to a moving concentrated normal load, NASA Technical Report, NASA TR R-238, 1966.
5. D.D. Ang, Transient motion of a line load on the surface of an elastic half-space, Quart. Appl. Math. 18 (1960) 251.
6. R.G. Payton, An application of the dynamical Betti-Rayleigh reciprocal theorem to moving-point loads in elastic media, Quart. Appl. Math. 21 (1964) 299.
7. D.C. Gakenheimer, J. Miklowitz, Transient excitation of an elastic half space by a point load traveling on the surface, J. Appl. Mech. 36 (1969) 505.
8. L.B. Freund, Wave motion in an elastic solid due to a nonuniformly moving line load, Quart. Appl. Math. 30 (1972) 271.
9. L.B. Freund, The response of an elastic solid to nonuniformly moving surface loads, J. Appl. Mech. 40 (1973) 699.
10. K. Watanabe, Transient response of an acoustic half-space to a rotating point load, Quart. Appl. Math. 36 (1978) 39.
11. D.C. Gakenheimer, Response of an elastic half space to expanding surface loads, J. Appl. Mech. 38 (1971) 99.
12. L.M. Brock, Wave propagation in an elastic half-space due to surface pressure over a non-uniformly changing circular zone, Quart. Appl. Math. (1980) 37.
13. F.C.P. de Barros, J.E. Luco, Response of a layered viscoelastic half-space to a moving point load, Wave Motion 19 (1994) 189.
14. A.T. de Hoop, A modification of Cagniard's method for solving seismic wave problems, Appl. Sci. Res. B 8m (1960) 349.
15. A.T. de Hoop, Acoustic radiation from impulsive sources in a layered fluid, Nieuw Archief voor Wiskunde 6 (in English) (1988) 111.
16. J.H.M.T. van der Hijden, Propagation of Transient Elastic Waves in Stratified Anisotropic Media, North-Holland, Amsterdam, 1987.
17. U. Aulenbacher, K.J. Langenberg, Transient radiation pattern of ultrasonic transducers on elastic half-spaces, in: P. Holler (Ed.), New Procedures in Nondestructive Testing, Springer, Berlin, 1983, p. 81.
18. H.J. Stam, A time-domain finite element method for the computation of three-dimensional acoustic wave fields in inhomogeneous fluids and solids, Phd. thesis Et/EM 1990-12, Delft University Press, TU Delft, Netherlands, 1990.
19. H.J. Stam, The two-dimensional elastodynamic distributed surface load problem, Geophysics 55 (8) (1990) 1047.
20. D.V. Widder The Laplace transform, Princeton University Press, Princeton, 1946.
21. E.C. Titchmarsh, The theory of functions, Oxford University Press, London, 1939.