Vibration Control Using an Air Damped Dynamic Vibration Absorber

研究了由活塞和气缸组成的带有空气阻尼器的动力吸振器(DVA)的振动控制问题。空气阻尼器可以方便地用麦克斯韦模型来表示，其中弹簧元件和阻尼器串联在一起。因此，空气阻尼器本身没有能力将活塞返回到其原始位置。为此，活塞必须由与阻尼器平行放置的弹簧支撑。然后，可以用三元件模型来模拟空气阻尼型DVA。关于Voigt型DVA已经做了很多研究，Hahnkamm和Brock等人已经推导出最佳调谐和阻尼参数的精确表达式。然而，关于三元型DVA的论文还很少，到目前为止还没有得到可靠的表达式。因此，我们从推导三元型DVA最优参数的表达式开始，很明显，优化的三元型DVA优于传统的Voigt型DVA。首先，我们在垂直振动的物体上测试了由我们的表达式得到的最佳参数。其次，尝试用空气阻尼型DVA控制二自由度结构的横向振动。实验表明，根据我们的理论设计的空气阻尼型DVA对机器和结构的减振效果显著。

We have studied on the vibration control using a dynamic vibration absorber (DVA) with an air damper consisting of a piston and a cylinder. The air damper can conveniently be represented by the Maxwell model where a spring element and a dashpot are connected in series. Thus, the air damper itself has no ability to return the piston to its original position. For this reason, it is necessary for the piston to be supported by a spring which is placed in parallel with the damper. The air damped DVA can then be modeled by the three-element model. Many studies have been done on the Voigt type of DVA, and the accurate expressions of optimum tuning and damping parameters have already been derived by Hahnkamm and Brock et al. However, only a few papers have been published on the three-element type of DVA, and reliable expressions for it have not been derived until now. Therefore, we began our work by trying to derive expressions for optimum parameters of the three-element type of DVA.It was clear that the optimized three-element type of DVA is superior to the conven tional Voigt type of DVA.First, the optimum parameters which we obtained from our expressions were tested on a vertically vibrating body. Second, we try to control the holizontal vibration of a two-degree-of-freedom structure using the air damped DVA.Both experiments showed that the air damped DVA designed by our theory has outstanding effect on the reduction of vibration of the machines and the structures.