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提出带耗能减震层框架-核心筒结构的简化模型,将减震层等效为抗转刚度弹簧和抗转阻尼弹簧,构造减震层上部和下部的振型函数,采用假定振型法和虚功原理,推导带耗能减震层框架-核心筒结构在地震作用下的振动控制方程。以典型带耗能减震层框架-核心筒结构为例,采用MATLAB语言编制该简化模型的振动控制方程程序,并与ETABS软件建立的有限元模型进行相互验证,研究带耗能减震层框架-核心筒结构的地震反应和减震机理。研究结果表明:提出的带耗能减震层框架-核心筒结构简化模型有效、可行;利用振动方程的显示表达式揭示了带耗能减震层框架-核心筒结构的减震机理;由复模态分析方法进一步确定了不同减震层位置时结构阻尼的变化规律,优化设计的复模态阻尼比及阻尼器的优化阻尼系数可用于该类结构的初步设计。
A simplified model of the frame-core tube structure with energy dissipation was proposed. The damping layer was equivalent to the anti-rotation stiffness spring and anti-rotation damping spring, and the shape functions of the upper and lower parts of the damping layer were constructed. And the principle of virtual work, the vibration control equations of the frame-core tube structure with energy-dissipating cushioning under earthquake action are deduced. Taking the typical frame with energy-dissipating cushioning layer-core tube as an example, the vibration control equation program of the simplified model is compiled by MATLAB language and verified with the finite element model established by ETABS software. Seismic response and damping mechanism of core tube structure. The results show that the proposed simplified simplified model of core-shell structure with energy-dissipating cushion is effective and feasible. The damping mechanism of the frame-core structure with dissipative damping layer is revealed by the expression of vibration equation. The modal analysis method further determines the variation of structural damping when the positions of different cushion layers are located. The complex modal damping ratio of the optimal design and the optimal damping coefficient of the damper can be used in the preliminary design of such structures.