An Application of Ungar’s Differential Transform to Elastodynamics

Hu De-sui

Volume 10 Issue 7

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Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(7): 645-648

Hu De-sui. An Application of Ungar’s Differential Transform to Elastodynamics[J]. Applied Mathematics and Mechanics, 1989, 10(7): 645-648.

Citation:

Hu De-sui. An Application of Ungar’s Differential Transform to Elastodynamics[J]. Applied Mathematics and Mechanics, 1989, 10(7): 645-648.

Citation:

Hu De-sui. An Application of Ungar’s Differential Transform to Elastodynamics[J]. Applied Mathematics and Mechanics, 1989, 10(7): 645-648.

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An Application of Ungar’s Differential Transform to Elastodynamics

Hu De-sui

Chengdu College of Geology, Chengdu

Received Date: 1987-12-25
Publish Date: 1989-07-15

Abstract

Abstract

In recent years, a lot of writers have used Cagniard-de Hoop's method^[1][2] to solve some problems of elastic wave. But it is a difficult and complicated task to change the path of integration when we use this method. A differential transform by A.Ungar^[3,6] can obviate this difficulty. In this paper, weuse Ungar's differential transform to solve a case of Lamb's problem^[1][2].

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References(7)

References

[1]	Eringen,A.C.and E.S.Suhubi,Elastodynamics,Vol.II,Academic Press,New York(1975), 651-652,502.中译本:《弹性动力学》,戈革译,石油工业出版社(1984)
[2]	Achenbach,J.D.,Wave Propagation in Elastic Solids,North-Holland(1973),298,289.
[3]	Ungar,A.,Wave generation in an elastic half-space by a normal point load moving uniformly over the free surface,International Journal of Engineering Science,14,10(1976),935-945.
[4]	Ungar,A.and N.I.Robinson,The application of the differential transform technique to point source problems of elasticity,International Journal of Engineering Science,15,3(1977), 157-170.
[5]	Ungar,A.,The propagation of elastic waves from moving normal point loads in layered media,Pure and Applied Geophysics.114,5(1976),845-861.
[6]	Ungar,A.,The differential transform technique for solving problems of wave propagation,in Modern Problems in Elastic Wave Propagation(edited by J.Miklowitz and J.D.Achenbach),John Wiley & Sons(1978).
[7]	Eason,G.,Dynamical problems of the theory of elasticity,in Application of Integral Transforms in the Theory of Elasticity(edited by I.N.Sneddon),Springer-Verlag(1975),318.

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