A cable-frame structure typically has low damping and a low fundamental frequency and is modally rich. It is likely to generate sustained vibration when disturbed. Unwanted vibration of such a structure must be caught and controlled to ensure its structural safety and design performance. To overcome the disadvantages of high frequency distortion and modal truncation arising from modal control methods, wave control methods have been suggested. However, they generally involve establishing and solving numerous wave equations, an expensive procedure that may make the vibration control for large and/or complex structures inefficient or even impractical. This study presents a simple analytical approach for the vibration control of large cable-frame structures. The approach is divided into two stages. First, the exact frequency-domain solution is obtained by a dynamic stiffness method in which the infinite degrees of freedom of each flexible component are reduced into only several degrees of freedom at its two endpoints. Second, formulas for calculating the local wave and power flow are deduced based on the global exact solution so that the local wave control information can be extracted from the global response solution. Using this approach, the dynamic response and wave and power flow analysis are carried out for two typical cable-frame structures, leading us to suggest several control measures for suppressing vibration. The approach, if proven to be effective, can be readily applied to vibration control of large cable-frame structures.

电缆框架结构通常具有低阻尼和低基频，并且模态丰富。受到干扰时可能会产生持续的振动。必须捕获并控制这种结构的有害振动，以确保其结构安全性和设计性能。为了克服由模态控制方法引起的高频失真和模态截断的缺点，提出了波控制方法。但是，它们通常涉及建立和求解大量波动方程，这是一种昂贵的过程，可能会使大型和/或复杂结构的振动控制效率低下，甚至不切实际。这项研究提出了一种用于大型电缆框架结构振动控制的简单分析方法。该方法分为两个阶段。第一的，通过动态刚度方法可以获得精确的频域解，其中每个柔性组件的无限自由度在其两个端点处仅减小为几个自由度。其次，基于全局精确解推导了计算局部波和潮流的公式，从而可以从全局响应解中提取局部波控制信息。使用这种方法，对两种典型的电缆框架结构进行了动态响应以及波和功率流分析，这使我们提出了几种抑制振动的控制措施。如果被证明是有效的，该方法可以很容易地应用于大型电缆框架结构的振动控制。