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随着科学技术的发展和建筑理念的革新，建筑的高度也在不断攀升。这也使得国内外越来越多的专家学者逐渐对建筑抗震设计青睐。连体结构也逐渐成为建筑设计的一种潮流。关于连体结构在地震激励下的响应，理论尚未成熟，仍然缺乏系统性的研究。本文以高层连体建筑结构为研究对象，对其进行合理的简化，抽象出计算模型；运用力学基础知识对其建立运动微分方程；采用复模态分析法，推导出结构在平稳随机激励下的响应表达式；最后选择共轭复指数 Kanai-Tajimi激励谱模型，其中主要计算工作运用MATLAB软件编制程序来完成。 分析所得计算结果：本文探讨了连接装置的设置位置，在刚度、阻尼等力学参数相对不变时对高层连体建筑结构在地震作用下的振动响应的影响，为进一步利用连接装置控制结构的地震振动响应奠定了基础。59575
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毕业论文关键词 地震激励 高层连体建筑 随机响应 复模态分析法
Title Response analysis of high-rise connecting structure vibration under earthquake
Abstract With the development of social science and technology innovation rapidly, building height is rising. This also makes the experts and scholars at homeland and abroad increasing gradually become interested in anti-seismic design of buildings. Connecting structure has gradually become a trend of architectural design. The theory about the response of conjoined structure under earthquake excitation is not mature, which is still lack of systematic research. This topic is based on the connected high-rise building structure, which is reasonably simplification and the calculation model is abstracted. Using the basic knowledge of mechanics list the differential equations of motion. To deduce the structure response under stationary random excitation, the complex modal analysis method is needed. At last, the conjugated complex exponential Kanai-Tajimi excitation spectrum model is needed. The main calculation by using the software of MATLAB to complete. After that let’s analyze the results. We do research about when the rigidity, damp and other mechanical parameters keep constant, the influence of the building, under changing the position of the connecting device. Lay the foundation for seismic response control of structure vibration device for further use of connection.
Keywords Connected high-rise building Seismic excitation Random response Complex modal analysis method
目录
1.绪论 . 1
1.1 课题提出 ... 1
1.2 高层连体结构的国内外应用和研究现状 ... 1
1.3 连体结构的特点 ... 2
1.4 本课题所用软件 ... 3
2.振动模型的建立 . 4
2.1 系统模型 .. 4
2.2 地震激励模型 ... 5
3.复模态分析法 . 6
3.1 复模态分析 ... 6
3.2 平稳随机激励响应特性 . 10
3.3 共轭复指数随机激励情形 . 12
4.算例分析 ... 13
4.1 运动微分方程 . 13
4.2 结果分析 . 18
4.2.1 算例赋值 .. 18
4.2.2等高楼层 ... 18
4.2.3不等高楼层 ... 22
5.MATLAB程序的实现 .. 24
结论 .. 26
致谢 .. 27
参考文献 .. 28
附：MATLAB部分主要程序 . 29
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