The subject of this paper is the study of free oscillations of a composite material consisting of an elastic medium and a large number of elastic piles periodically immersed in a part of the medium. The ends of piles lying on the boundary of the medium are clamped to a force-free rigid plate. Such a partially composite structure arises in pile foundation mechanics. Assuming that the period of pile structure tends to zero, we obtain the macroscopic equations for free oscillations by homogenization method and prove the corresponding convergence result. (C) 1997 by B. G. Teubner Stuttgart-John Wiley & Sons Ltd. [References: 9]
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机译:本文的主题是研究复合材料的自由振动,该复合材料由弹性介质和周期性地浸入介质一部分中的大量弹性桩组成。位于介质边界上的桩的末端被夹在无力的刚性板上。这种部分组合的结构出现在桩基础力学中。假定桩结构的周期趋于零,我们用均化方法获得了自由振动的宏观方程,并证明了相应的收敛结果。 (C)1997年,作者是B. G. Teubner斯图加特-约翰·威利父子有限公司[参考文献:9]
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