Antiplane response of a dike on flexible embedded foundation to incident SH-waves
Antiplane response of a dike on flexible embedded foundation to incident SH-waves
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DOI：
10.1016/s0267-7261(01)00036-7
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发表时间：
2001-10
影响因子：
4
通讯作者：
M. Todorovska;A. Hayir;M. Trifunac
中科院分区：
文献类型：
--
作者：
M. Todorovska;A. Hayir;M. Trifunac
研究了嵌入半空间柔性地基上的弹性圆楔在入射平面sh波作用下的频域响应。通过将三种介质（楔体、地基和半空间）中的运动展开为圆柱波函数（傅里叶-贝塞尔级数）来解决这一问题。结构模型简单，但考虑了地基的微分运动和土-结构相互作用的影响。通常，地震工程中的结构模型要么考虑差速地震动而忽略土-结构相互作用，要么考虑土-结构相互作用而只考虑刚性基础而忽略差速地震动。研究的目的是找出基础相对于土壤的刚度，以便土-结构相互作用模型中的刚性基础假设是有效的。在本研究中考虑的入射波的最短波长等于楔形底部的宽度。由此得出结论，对于该模型，具有与土相同质量密度但剪切模量大50倍的地基表现为“刚性”。当剪切模量比小于16时，刚性基础假设不成立。考虑差分运动是很重要的，因为固定基础和刚性基础模型无法预测结构中的附加应力。
The response of an elastic circular wedge on a flexible foundation embedded into a half-space is investigated in the frequency domain for incident pane SH-waves. The problem is solved by expansion of the motion in all three media (wedge, foundation and half-space) in cylindrical wave functions (Fourier-Bessel series). The structural model is simple, but accounts for both differential motions of the base and for the effects of soil-structure interaction. Usually, structural models in earthquake engineering consider either differential ground motion, but ignore soil-structure interaction, or consider soil-structure interaction, but for a rigid foundation, thus ignoring differential ground motion. The purpose of the study is to find how stiff the foundation should be relative to the soil so that the rigid foundation assumption in soil-structure interaction models is valid. The shortest wavelength of the incident waves considered in this study is one equal to the width of the base of the wedge. It is concluded that, for this model, a foundation with same mass density as the soil but 50 times larger shear modulus behaves as ‘rigid’. For ratio of shear moduli less than 16, the rigid foundation assumption is not valid. Considering differential motions is important because of additional stresses in structures that are not predicted by fixed-base and rigid foundation models.