实际建筑物大多为偏心结构,扭转耦联效应使同层楼板上不同位置处附属结构的动力响应也不相同,通常存在一个平面最优位置。本文建立了主附结构体系的扭转耦联模型,利用复模态理论和模式搜索方法研究了影响附属结构最优位置的几个重要因素,包括地震输入方向、场地类别、主体结构偏心、附属结构质量、频率及阻尼比等,通过数值分析得出了一些有益的结论。
A majority of actual structures are eccentric structures, so the lateral-torsional coupling of primary-secondary systems, which has significant influence on secondary system's response under earthquake loading, is needed to be considered. Considering torsion movement, the secondary system's responses on different positions of the same floor are also different, and an optimal position for minimal response exists. In this paper a model of primary-secondary systems concerning lateral-torsion coupling and interaction between primary and secondary systems is established and studied from the point of random vibration, by using complex mode theory and pattern research method for secondary system's optimal position, furthermore, the influencing factors of optimal position are also analyzed, such as direction of earthquake input, site of different classification, eccentricity of primary system, the mass, fre- quency, and damping ratio of secondary system etc. At the end of this paper some useful conclusions were provided by numerical work, from which we can see lateral-torsional coupling due to the eccentricity of structures and the interaction between primary and secondary systems have important effect on the secondary system's response, and due to the interaction optimal position is not only located at corner of the plane any more.