论文信息 - The field and radiation impedance of mechanical radiators on the free surface of a semi-infinite isotropic solid

The field and radiation impedance of mechanical radiators on the free surface of a semi-infinite isotropic solid

Definite integral representations are obtained for the field at an arbitrary point in a semi infinite solid, due to stresses on the free surface which vary sinusoidally with time. From these integrals, asymptotic expressions have been obtained for the field at infinity in the solid, and polar diagrams showing the variation of field strength with direction are given. Integrals are also found for the mean displacement over the externally stressed region of the surface, and these have been evaluated numerically in a number of cases to obtain the radiation impedance of the sources represented by such stress systems.

H. Pursey | G. F. Miller | H. Pursey

[1] F. S. Lamb,et al. On the Propagation of Tremors over the Surface of an Elastic Solid , 1904 .

[2] M. Newlands. The disturbance due to a line source in a semi-infinite elastic medium with a single surface layer , 1952, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[3] W. Voigt,et al. Ueber innere Reibung fester Körper, insbesondere der Metalle , 1892 .

[4] G. A. Watson. A treatise on the theory of Bessel functions , 1944 .

[5] G. Watson. Bessel Functions. (Scientific Books: A Treatise on the Theory of Bessel Functions) , 1923 .

[6] C. G. Knott. III. Reflexion and refraction of elastic waves, with seismological applications , 1899 .

[7] A. Love. The Stress Produced in a Semi-Infinite Solid by Pressure on Part of the Boundary , 1929 .

[8] Philip M. Morse,et al. Methods of Mathematical Physics , 1947, The Mathematical Gazette.

[9] E. R. Lapwood. The disturbance due to a line source in a semi-infinite elastic medium , 1949, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.