沖積層地盤中に根入れ基礎をもつ構造物の回転振動について 根入れ基礎をもつ構造物の振動特性(4)

Abstract

This paper describes a theoretical study concerning soil-structures dynamical interaction problems in the case of embedded structures in an alluvial medium. The analysis is performed on basis of the two-dimensional wave propagation theory. In this paper are derived the sets of govering equations of soil-structure interaction system subjected to base rock excitation and the analytical expression for the sway and the rotation spring constants of sub-side soil ground when the basement wall vibrates rotationally. The following results have been obtained in this study, 1) Interaction effect of pore water gradully increases with lower permeability of aggregate body, however coupling effect between porous elastic solid and pore water is getting decrease with its higher permeability. 2) K^-_<RS>≒0.4 K^-_<SS> and K^-_<RR>≒0.6K^-_<SR> Where K^-_<SS> and K^-_<RS> mean spring constant of sway and rotation due to the horizontally vibrating basement wall and K^-_<RR> and K^-_<SK> mean spring constant of rotation and sway due to the rotationally vibrating basement wall, respectively. 3). Maxwell-Betti-Lamb's reciprocal theorem is verified in any frequency range because the rotational spring constant under condition of the basement wall to be horizontally excited equals to the sway one under condition of the basement wall rotationally excited.