半無限弾性体上の円板の動的コンプライアンス問題 : その3 軸対称水平モード

概要

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Dynamic compliance of a circular disc is investigated for axisymmetric horizontal modes. The relation between the horizontal displacement of the disc and the contact shearing stress is represented as an integral transformation. The presented form of its integral kernel is rigorously derived and is suitable for numerical evaluation ; it is a sum of a generalized elliptic integral and definite integrals of well known analytic functions over a finite interval. This relation is obtained solely through the investigation of the elastic half-space ; consequently, there is no restriction on the mechanical properties of the disc. It may be deformable and its stiffness may be variable. By solving simultaneously the basic equation presented here and the equation of motion of the disc, one can readily solve the dynamic interaction problem. The axisymmetric horizontal motion is separated into two independent modes : the radial mode and the torsional one. In order to demonstrate the correctness of the presented formula, it is applied to the torsional mode of a rigid disc whose compliance function is known. The result obtained is identical to that of the conventional method.
社団法人日本建築学会の論文
1988-05-30