筒中筒结构动力特性分析的状态空间法

The State Space Method for Dynamic Characteristics Analysis of Tube-in-tube Structures

引入建筑结构状态变量的概念,用现代控制理论的状态空间方法,基于并联铁摩辛柯梁模型,建立筒中筒结构动力特性分析的哈密顿体系,用精细积分法求该体系的高精度数值解,给出了一套分析筒中筒结构动力特性的方法。这种方法能求出筒中筒结构各阶自振频率和相应的振型,精度较高,为筒中筒结构的动力计算打下了基础。

Introducing the state vectors concept of high-rise building, using the state space method in the modem control theory, and based on the parallel shear-bending beam model, this paper found the Hamilton dual solution system of dynamic characteristics analysis for the tube-in-tube structure. Then the precise integration method was adopted to realize the high-precision numerical solution of the system. Thus a set of integrated methods is developed to analyze the structure dynamic characteristics, which can determine natural frequencies and relevant vibration modes of the tube-in-tube structure with high precision, so as to lay a foundation for the dynamic computation of the tube-in-tube structure. For its good applicability, the method can be extended to the tube-in-tube structure with variable sections.