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タイトル: Further Studies on Rayleigh-waves having Some Azimuthal Distribution
その他のタイトル: 方位的分布を持つレーレー波の続研究
著者: Sezawa, Katsutada
著者(別言語): 妹澤, 克惟
発行日: 1929年4月23日
出版者: 東京帝国大学地震研究所
掲載誌情報: 東京帝国大学地震研究所彙報. 第6冊, 1929.4.23, pp.1-18
抄録: 弾性体の内部を伝はる波が変位分布の方向性を示す如く、表面波にも斯る性質があつてよい筈である。其序説は既に発表してあるが、この論文では其委細と延長とを述べる事にした。さて地震学上で問題となる所の押し引きの法則が表面波にあてはまるかどうかと言ふ事や、遠距離地震波の主要部に横波の優勢な事や、又地殻内部の振動型が遠方の表面で如阿なる特性を示すかと言ふ問題等は、すべてこの研究の結果によつて、可なりの程度まで明かにされる様に思はれる。それのみでなく弾性力学其自身の問題としても多少重要であらう。
We have now obtained by the use of mathematical theory of elasticity some results having the practical importance on the seismological problems; the principal results are enumerated as follows: (1) Rayleigh-waves having azimuthal distribution can be transmitted on the surface of a semi-infinite solid or a spherical surface without diffusion of displacements in each wave front. (2) Though in the case of the propagation of Rayleigh-waves on plane surface, the nature of the vertical and the horizontal components of displacement in wave profile and in azimuthal distribution is maintained for all distances, the azimuthal component of displacement quickly disappears as the distance from the origin increases, shewing the nature quite different from the bodily elastic waves. (3) The law of pull and push is applicable even to the surface waves, with the condition that the azimuthal component is out of consideration. This law is also valid in the case of the transmission of waves caused by the arbitrary disturbance. (4) When the disturbance acts on an interior point of the body the azimuthal distribution of displacement on the surface is in conformity with the motion of the source .to a certain extent. (5) Even at the equatorial circle of the sphere long Eayleigh-waves as affected by the curvature of the surface have the azimuthal and the ordinary components of comparable magnitudes; in the vicinity of the seismic pole these waves have the large azimuthal component compared with the vertical and the radial components. (6) Short waves show the nature of giving the large azimuthal component only in very vicinity of the seismic epicentre. In concluding this paper, the author is indebted to Professors Suyeliiro and Terada for their land advices and also to Mr. G. Nishimura who has assisted him in preparing this paper.
URI: http://hdl.handle.net/2261/9906
ISSN: 00408972


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