摘要
土-结构相互作用(Soil-Structure Interaction,简称SSI)是近三十年来世界地震工程领域研究的重要课题之一。由于该课题涉及地震工程、结构工程、地基基础、随机振动、地震学等多门学科,属多学科交叉领域,研究难度较大,目前还有很多问题有待深入研究。
在这一领域,由于结构楼层中的质量和刚度分布的不规则,造成楼层的质量中心和刚度中心不重合,从而使得在地震作用下结构各楼层受到的惯性力与楼层抗力不共线,由此而引起的偏心结构-地基土相互作用体系平动与扭转耦联的变形特征,目前国内外还没有进行系统深入的研究,因此,深入开展偏心结构-地基土相互作用体系地震反应规律的研究,为完善结构抗震设计规范中的相关条文提供依据,具有十分重要的理论意义与实用价值。
本文应用动力学理论研究了偏心结构-地基土相互作用体系平扭耦联反应中参数分析问题,主要工作如下:
1、从建立偏心结构-地基土相互作用模型入手,采用双线性的结构模型与地基土的分段线性模型,利用拉各朗日能量法得到偏心结构-地基土相互作用体系平动和扭转耦联运动的振动方程。
2、采用解析法对偏心结构-地基土相互作用体系的弹性影响参数进行确认,重点对考虑相互作用后偏心率B、扭平频率比Ω的取值范围,及不同地基土时各参数对结构反应的影响进行分析。
3、采用Matlab语言编制了弹性和弹塑性偏心结构-地基土相互作用体系时程分析程序,进行弹性影响参数分析,并与解析法结果进行了比较,表明采用时程分析进行参数分析的可行性。
4、分析对比了偏心结构-地基土相互作用体系弹塑性地震反应时各参数对体系的影响,得出了弹塑性时与弹性时参数呈现出来的不同特点,得出了对实际工程有参考意义的结论。
Soil-Structure Interaction (SSI) has been one of the most important issues of earthquake engineering in the world in the recent thirty years. Since it is a crossing subject involving earthquake engineering, structural engineering, ground foundation, random vibration, seismology, and higher mathematics etc. there are many problems that should be investigated deeply.
In this field , the mass centre and the stiffness centre are not at the same place for the mass and the stiffness distributing abnormally in the structure floor, which leads to lateral-torsional coupling response of soil-asymmetric structure interaction system differently. The in-depth and systematical research is still deficiency , So it is very important to research on the regular seism response of soil-asymmetric structure interaction and to comlete the issues in the code.
In this paper, the dynamical theories are used to study the parameter analysis on Lateral-torsional coupling of soil-asymmetric structure interaction system. The works of this paper are as follow :
1. A bilinear stiffness model and the piece wise linear foundation model are used to establish the soil-asymmetric interaction system model.The Lagrange energy equation is used to build coupling equation of horizontal motion and torsion motion .
2. The infecting parameters of soil-asymmetric interaction system are extensively resolved and analyzed . The related problems of the range of eccentricity ratio and torsional translation frequency ratio ,also the influence of the above parameters are analyzed detailedly .
3. Soil-asymmetric interaction system time history response procedure for elastic and elastic-plastic phase is programmed in Matlab language.using the procedure ,the elastic influence of the parameters are made .A comparative analysis of time-history analysis and analysis method is used to make time-history analysis for parameters analysis feasible .
4. the difference characters of soil-asymmetric interaction system under elstic seismic and elstic-plastic seismic response are got from Comparisons and analysis on the parameters influence of soil-asymmetric interaction system under elstic seismic and elstic-plastic seimic response ,then some helpful conclusions for practical projects are obtained.
引文
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