摘要将连接阻尼器的对称双塔楼结构耦合为单个连接着Kelvin型阻尼器的2-DOF（degree of freedom）体系，推导了耦合结构体系的运动微分方程并基于能量最小原理求出了连接阻尼器的优化参数解析解。参数化分析表明结构各层频率比、质量比和刚度比是影响阻尼器控制效果的重要参数。对于一个给定的对称双自由度体系，存在最优的Kelvin阻尼器阻尼参数解析解使得结构的位移峰值响应有最小值，同时从结构的自振特性也会影响结构最终的控制效果。最后，通过数值算例，分别讨论了塔楼多自由度体系在地震激励下的位移时程、结构振动能量和层间位移角，验证了该文所提Kelvin阻尼器优化参数解析表达式对控制带底盘对称双塔楼结构动力响应的有效性。
Abstract：The symmetric twin tower buildings connected with dampers are coupled as single 2-DOF (degree of freedom) systems which are connected with the Kelvin dampers. The differential equation of motion about the coupling structures and the analytical solution of the optimization parameters of the dampers are derived based on the minimum energy principle. The parametric analysis based on the 2-DOF systems shows that the vibration frequency ratio, the mass ratio and the stiffness ratio of each layer of the structures are important parameters which affecting the control effect of the dampers. For a given symmetric double degree of freedom system, it has optimal analytical solution of the damping parameters of the Kelvin dampers which makes the peak response of the structures have the minimum value. The self-vibration characteristics of the master-slave structures will also affect the final control effect of the structures as well. Finally, through numerical analysis, the displacement time history, the structural vibration energy and the story drift of the MDOF systems under earthquake excitation are discussed respectively, which verifies the effectiveness of the proposed analytical expressions of the Kelvin damper parameters on the dynamic response of the symmetrical twin tower-buildings with chassis.
