基礎・地盤系の動的相互作用の FEM による波動論的考察

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The soil-foundation interaction that takes place during the pasage of seismic waves through the soil is of much interest to engineers. Many research papers have appeared describing a number of theoretical and experimental studies into various aspects of the soil-foundation interaction system. In a theoretical treatement of the interaction of the soil-foundation system, there are two approaches which are the theory of vibrations and the theory of wave propagations. In the latter approach the displacement field in the system is decomposed to the incident wave, the reflection wave (as the result of the incident wave reflected by the free surface) and the radiation wave (as the result of the incident wave impinged by the foundation), and in the former approach the displacement in the system is not necessary to do the above mentioned decomposition. In the former approach, there are many studies by the three dimensional continuous mechanics, the two and three dimensional FEM and the two and three dimensional theory of wave propagations. The behavior of the system depends on the scattering of the incident wave due to the foundation. The interaction of the system is understood by the property of the radiation wave which is radiated from the region of the foundation. Thus the theory of wave propagations should be applied to this interaction problem. But, on the two and three dimensional theory of wave propagations the displacement field in the system is not directly obtained in the actual system in which a shape of the foundation is square. Therefore FEM is the powerfull method. In this study, we consider the wave theoretical approach by FEM, and discuss the interaction of the soil-foundation system by this approach. In this analysis, a main dependent variable is the displacement of the radiation wave, that is the difference displacement between the displacement of the system and the displacement of the soil with no foundation. We derive a fundamental equation of the radiation wave in an infinitesimal region and a finite element, and discuss an analytical example of the interaction problem of the soil-foundation system. Obtained results are described briefly as follows. The region of the radiation wave is the region of the foundation and the radiation wave is determined by the character of an apparent external force in the region of the radiation wave source. The effect of interaction of the soil-foundation system depends on the frequency, and is particularly remarkable in high frequency range.
社団法人日本建築学会の論文
1980-09-30

基礎・地盤系の動的相互作用の FEM による波動論的考察

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