递阶结构系统理论及应用

从主动设计易于控制结构系统的角度出发，提出了一种新的、具有独特系统的特性的结构系统－递阶结构系统，分析了它的特征和优越性，讲座了合适的表达方法；重点推导出了分阶模态集结法的有关表达式；详细进行了频域分析；以二自由度体系为代表进行了具体的参数分析，结果表明采用大质量比子系统可以在明显减小主系统动力响应的同时有效地减小子系统的响应，使递阶段结构获得比传统结构更好的动态特性。

Theory and Applications of Hierarchical Structural Systems

Guided by the system science,a new kind of structural system, hierarchical structural system, which can be easily controled, has been proposed. The characteristics and thd superiority of the new system have been analyzed and its suitable expressions, focusing on the component modal aggregation method (CMAM), have also been studied. Based on CMAM, frequency-response analysis has been made and the detailed parameters of two degree of freedom systems have been studied. Numerical results show that the hierarchical system including large mass ratio subsystems can be used to obviously reduce the responses of the main system, and meanwhile responses of the subsystems are also reduced effectively. It is proved that hierarchical structural systems possess distinctive dynamic natures better than common structures and will be widely utilized in the future.