Dynamic Interaction of Two Independent SDOF Oscillators Supported by a Flexible Foundation Embedded in a Half-Space: Closed-Form Analytical Solution for Incident Plane SH-Waves

IF 2.1 4区工程技术 Q2 GEOCHEMISTRY & GEOPHYSICS

Journal of Earthquake and Tsunami Pub Date : 2021-05-01 DOI:10.1142/S1793431121500263

Liguo Jin, Liting Du, Haiyan Wang

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引用次数: 0

Abstract

This paper presents a closed-form analytical solution for the dynamic response of two independent SDOF oscillators standing on one flexible foundation embedded in an elastic half-space and excited by plane SH waves. The solution is obtained by the wave function expansion method and is verified by comparison with the results of the special cases of a rigid foundation and the published research result of a flexible foundation. The model is utilized to investigate how the foundation stiffness influences the system response. The results show that there will be a significant interaction between the two independent structures on one flexible foundation and the intensity of the interaction is mainly dependent on foundation stiffness and structural stiffness. For a system with more flexible foundation, strong interaction will exist between the two structures; larger structural stiffness will also lead to a strong interaction between the two structures. When the structural mass and the structural stiffness are all larger, the flexible foundation cannot be treated as a rigid foundation even if the foundation stiffness is many times larger than that of soil. This model may be useful to get insight into the effects of foundation flexibility on the interaction of two independent structures standing on one flexible foundation.

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嵌入半空间的柔性基础支撑的两个独立SDOF振荡器的动力相互作用:入射平面sh波的封闭解析解

本文给出了位于弹性半空间内的两个独立的单自由度振荡器在平面SH波激励下的动力响应的封闭解析解。采用波函数展开法得到了该解，并与刚性基础的特殊情况计算结果和已发表的柔性基础研究结果进行了对比验证。利用该模型研究了基础刚度对系统响应的影响。结果表明:在同一柔性基础上，两个独立结构之间存在明显的相互作用，相互作用的强度主要取决于基础刚度和结构刚度。对于基础较灵活的体系，两种结构之间存在较强的相互作用;较大的结构刚度也将导致两个结构之间的强相互作用。当结构质量和结构刚度都较大时，即使基础刚度大于土的许多倍，也不能将柔性基础视为刚性基础。该模型有助于深入了解基础柔性对两个独立结构在同一柔性基础上相互作用的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Earthquake and Tsunami 地学-地球化学与地球物理

CiteScore

2.60

自引率

13.30%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Earthquake and Tsunami provides a common forum for scientists and engineers working in the areas of earthquakes and tsunamis to communicate and interact with one another and thereby enhance the opportunities for such cross-fertilization of ideas. The Journal publishes original papers pertaining to state-of-the-art research and development in Geological and Seismological Setting; Ground Motion, Site and Building Response; Tsunami Generation, Propagation, Damage and Mitigation, as well as Education and Risk Management following an earthquake or a tsunami. We welcome papers in the following categories: Geological and Seismological Aspects Tectonics: (Geology - earth processes) Fault processes and earthquake generation: seismology (earthquake processes) Earthquake wave propagation: geophysics Remote sensing Earthquake Engineering Geotechnical hazards and response Effects on buildings and structures Risk analysis and management Retrofitting and remediation Education and awareness Material Behaviour Soil Reinforced concrete Steel Tsunamis Tsunamigenic sources Tsunami propagation: Physical oceanography Run-up and damage: wave hydraulics.