摘要
目的推导确定结构平-扭效应最小化以达到寻找黏滞阻尼器的最有偏心位置.方法推导了不同偏心形式单层偏心结构,采用不同方式布置黏滞阻尼器的减震结构考虑平扭耦联效应的振动方程,建立了基于结构平面几何中心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求解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.结果结构周期和结构宽长比越大、等效阻尼比越小,则附加阻尼偏心率越大,扭平频率比在1.0左右会引起附加阻尼偏心率先减小后增大.地震荷载大小对计算结果没有任何影响.结论笔者所提方法适用于同类其他在复杂体型结构中的消能减震技术优化设计和既有建筑加固改造设计.
The aim of this paper is to study the viscous damper optimal location to make the lateraltorsion coupling effect minimum. The vibration equations of a single eccentric structure w ith different eccentricity forms and arrangements of viscous dampers,considering structural coupled translation and torsion deformation w ere derived. Based on the correlation betw een the translational and torsion displacements,the objective function w as established and solved by Lyapunov equations in the random vibration theory and the optimal control theory. The minimum of the objective function w as obtained to find the optimal damper eccentric location. Based on this method,a typical exam-ple w as calculated. Results show that if the structural period and the ratio of w idth to length are larger,the equivalent damping ratio is smaller,then the additional damping eccentricity ratio is greater. It is also found that w hen the tw isted flat frequency ratio is about 1. 0,the additional damping eccentricity ratio firstly decreases and then increases. The seismic load has not any influence on the calculation results. It indicates that the proposed method can be applied to other types of energy dissipation and damping,provide some references of their optimization design for complex structures or seismic strengthening projects.
出处
《沈阳建筑大学学报（自然科学版）》
CAS
北大核心
2014年第6期980-990,共11页
Journal of Shenyang Jianzhu University：Natural Science
基金
国家自然科学基金项目(51178100)
关键词
偏心结构
平-扭耦联
黏滞阻尼器
最优位置
asymmetric structure
coupling betw een translation and torsion
viscous damper
location optimization
