【摘要】 为了研究控制平-扭耦联效应黏弹性阻尼器最优位置问题,推导不同偏心形式单层偏心结构,采用不同方式布置黏弹性阻尼器减震结构考虑平-扭耦联效应的振动方程,建立基于结构平动与扭转位移响应相关性的目标函数。利用随机振动理论中的李雅普诺夫方程和最优控制理论,建立并求解偏心结构平面几何中心位移响应协方差矩阵,通过求得目标函数最小值找到阻尼器的最优偏心位置。在此基础上编制相应程序对典型算例进行数值计算,分析不同偏心形式下,地震荷载输入条件、等效阻尼比、静力偏心率、扭平频率比、结构周期、结构尺寸效应对考虑平-扭耦联效应时黏弹性阻尼器最优位置的影响规律。更多还原

【Abstract】 In order to study the optimal position of a visco-elastic damper,considering structural coupled translation and torsion deformation,the vibration equations of single eccentric structure considering structural coupled translation and torsion deformation were derived for different eccentricity forms of damping structure with different arrangement of visco-elastic dampers. Based on the correlation between the translational and torsion displacement,the objective function was established,and solved by Lyapunov equation in the random vibration theory and optimal control theory,The minimum of the objective function is obtained to find the optimal damper eccentric position. On the basis of this program,the typical example was calculated; it was analyzed the effect of different eccentricity forms,the seismic conditions,the equivalent damping ratio,static eccentricity,torsion-lateral frequency ratio,width to length ratio,on the optimal location of visco-elastic dampers in response to the correlation between the translational and torsion displacement.更多还原