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The effect of foundation flexibility variation on system response of dynamic soil-structure interaction: an analytical solution

机译:基础灵活变化对动态土结构相互作用系统响应的影响:分析解决方案

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摘要

A closed-form analytical solution is presented for the dynamic response of a SDOF oscillator, supported by a flexible composite foundation embedded in an elastic half-space, and excited by plane SH waves. The solution is obtained by the wave function expansion method. The solution is verified for the two limiting cases of a rigid-flexible composite foundation and a homogeneous flexible foundation by comparison with published results. The model is used to investigate the effect of the foundation flexibility variation on the system response. The results show that the effect is significant for both foundation response and structural relative response. For a system with larger foundation flexibility variation, the peak of the foundation effective input motion is smaller, while the amplitude of structural relative response less changes. When foundation flexibility variation decreases, system frequency will shift to lower frequency, and the shift value is also highly dependent on the foundation flexibility variation.
机译:提出了一种由弹性半空间中嵌入的柔性复合地基支撑的SDOF振荡器的动态响应解析式,并由平面SH波激发。用波函数展开法求解。通过与已发表的结果比较,验证了刚性柔性复合地基和均质柔性基础的两种极限情况。该模型用于研究地基柔性变化对系统响应的影响。结果表明,该效应对地基响应和结构相对响应均具有重要意义。对于具有较大地基柔性变化的系统,地基有效输入运动峰值较小,结构相对响应幅值变化较小。当地基柔度变化减小时,系统频率将移向较低频率,位移值也高度依赖于地基柔度变化。

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