Abstract
In succession to the examinations reported in Part II, the former half of the current presentation is devoted to completing the second phase of this study where the dynamics of typical constituent elements has been a matter of particular interest. The remaining problems arise from practically important combinations of the fundamental types of A, B and C; two hybrid cases of Models (C+A) and (B+A) are taken up according to the application of constant-Q material damping assumption to the rational impedances for rocking and swaying of a surface footing. Following a set of general theories developed in Part I, their dynamic properties are clarified with regard to the same points as in the preceding discussions of Models A and C. More serious appearence of the singularities involved in Model A features the results obtained in these examinations. The third phase of this study is an investigation of the dynamics of overall systems represented by the total combination of Models A, B and C which are applied segmentally. Along the foregoing lines of reasoning, formulation of building-foundation-soil interaction is the first concern therein. Then example analyses are done by use of a bare-minimum reduction of superstructure, with a view to identifying the basic mathematical structure in their nonelementary response behaviour. The latter half of this presentation is intended to provide preliminary remarks for the subsequent discussions of the third phase. This is primarily concerned with the aspect of formulation, and includes reference data on the transfer-function relationships in frequency domain.
