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4Šª
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1975”N
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335-342•Å
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PROCEEDINGS OF JAPAN EARTHQUAKE ENGINEERING SYMPOSIUM
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Takuji KOBORI, Tamotsu SUZUKI
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VIBRATIONS OF STRUCTURES EMBEDDED IN A VISCO ELASTIC LAYERED MEDIUM
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It is very important for the aseismic design of building structures to clarify the dynamic characteristics of structures with embedment in the soil ground. Most of studies on this subject, up to the present, have not been sufficient for the theoretical and experimental contributions yet. In particular the theoretical approaches, based on the wave propagation theory, have been forced to adopt the simplified assumptions in order to avoid the difficulties in the mathematical treatment. As a more realistic model of analysis the following soil-structure interaction system is assumed in this paper: a flexible structure embedded in a visco-elastic multi-layered medium over a rigid half-space is subjected to horizontal, harmonic, base rock motions or exciting forces acting at the top of the structure. The method of the dynamic response analysis for such an interaction system is decribed on the basis of the expansion technique of eigen functions and the variational method. Assuming that the system is two-dimensional, the analysis is made for the two cases in which SH-waves (or the Love waves) and P- and SV-waves (or the Rayleigh waves) are caused respectively for the mutually perpendicular two kinds of exciting directions. To give the validity of the method of analysis some numerical examples for the system of a Voigt solid are shown in graphical form. The discussions are developed how the shape of structure and the stiffness ratio between structure and ground affect on the dynamic responses of the displacement and the earth pressure caused in the Interaction system.
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