【作者】 陈俊忠；

【导师】 李创第； 燕柳斌；

【作者基本信息】 广西大学 ， 结构工程， 2004， 硕士

【摘要】 随着基础隔震结构、“加层减震”(TMD减震)结构正逐步应用于工程实际，以及在某些时候要考虑土与结构的相互作用，将会有越来越多的非经典结构出现，由于传统的实模态分析方法(振型分解法)不能使动力方程解耦，故本文运用复模态分析方法研究了上述结构随机地震响应分析方法和地震作用取值方法。主要内容如下： 1、对于具有任意非对称质量和刚度矩阵、非经典阻尼矩阵的两个自由度二阶动力体系，运用复模态分析方法，得出了结构在三种改进的Kanai-Tajimi模型激励下随机地震响应的解析解。运用同样的方法，也求解了剪切型多高层结构的随机地震响应。 2、对于剪切型基础隔震结构和“加层减震”(TMD减震)结构，以及考虑土与结构相互作用体系，运用复模态分析的方法，得到了结构在三种改进的Kanai-Tajimi模型激励下的随机地震响应的解析解。 3、对非经典结构基于设计反应谱的地震作用取值方法进行了研究，初步建立了基础隔震和“加层减震”(TMD减震)结构地震作用取值的复模态法。更多还原

【Abstract】 At present, the base-isolation structures and the "adding story and seismic decrease" structures (the TMD seismic decrease structures) are gradually applying in the projects, and some times the status of structure interaction with soil must be taken into account. In the action of dynamic load (e.g. earthquake and wind), because of the damping matrixes of all of this structures’ motion equations are non-classical, even the mass and stiffness matrixes of them are non-symmetry. So, the dynamic equation can’t be decoupled by the traditional real-mode analysis (the mode-superposition method). Though, in this thesis the complex-mode analysis is used to solve the stationary random earthquake response of structures and their analytic expressions are got. At the same time, with the theory of the complex-mode analysis, the earthquake action value of the non-classical damping and symmetry structure on base of response spectra is extended to commonly things, those are non-classical damping and non-symmetry structures, so receive the commonly method of the generalized non-classical structure earthquake action value of response spectra principium. The thesis includes the following content:1、For a Single-DOF second-order dynamic system, and a Two-DOF second-order dynamic system with non-classical damping and non-symmetry structures, the stationary analytic expressions of random earthquake response of the system are got by the use of the complex-mode analysis method base on three ameliorated Kanai-Tajimi model. The same for those much layer of shear form structure.2、For the base-isolation structures and the "adding story and seismic decrease" structures (the TMD seismic decrease structures), and the structure-soil interaction structure, the earthquake response is mainly the first-mode. So, only considering the first-mode response and including the isolation & seismic decrease equipment, then the system become a 2-DOF and second-order dynamic system that the damping is non-classical and the structure is non-symmetrical. Using the above method of Two-DOF second-order dynamic system, the analytic expressions of response are got base on three ameliorated Kanai-Tajimi model.3、At present, only the earthquake action value of the non-classical damping and symmetry structure have been studied all around the world, and a certain extent accomplishment are got. On base of this accomplishment, with the theory of complex-mode analysis , receive the way of earthquake action value of non-classical damping and non-symmetry structures, so the commonly method of the generalized non-classical structure earthquake action value of response spectra are got principium. In this paper, the above way is used to solve the base-isolation structures and the "adding story and seismic decrease" structures.更多还原