Purpose

In this work, active vibration control of rotating machines mounted on active machine foot mounts is investigated.

Methods

Therefore, a simplified 3D model is derived and the mathematical coherences are described. Different mathematical solutions are presented for special boundary conditions and a method called “vibration mode coupling by asymmetry” is derived.

Results

It could be shown that a symmetrical system with a machine design, where the center of gravity lies symmetrically between the machine feet with a vertical distance, and where all actuators are identical, represents a system, where all vibration shapes but one can be influenced by the controllers, when the gyroscopic effect can be neglected. In this case, a special vibration shape occurs—where the machine is only rotating at its vertical axis—which cannot be influenced by the controllers. When the stiffness and/or damping in axial and/or horizontal direction of only one actuator will be changed—which will lead to an asymmetrical system—the vibration shape with pure rotation at the vertical axis will not exist anymore. Now, the vibration shapes will become more coupled and they all can be influenced by the controllers, which is here called “vibration mode coupling by asymmetry”.

Conclusions

With the here presented method of “vibration mode coupling by asymmetry”, all vibrations mode shapes can now be active controlled.

中文翻译：

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使用非对称振动模式耦合的主动机脚架上安装的旋转机主动振动控制的3D模型

目的

在这项工作中，研究了安装在主动式机器脚架上的旋转机器的主动振动控制。

方法

因此，推导了简化的3D模型并描述了数学上的连贯性。针对特殊的边界条件，提出了不同的数学解，并推导了一种称为“非对称振动模式耦合”的方法。

结果

可以证明，采用机器设计的对称系统，即重心在垂直方向上对称地位于机器脚之间，并且所有执行器都相同，代表一种系统，其中除一个以外的所有振动形状都可能受到影响。控制器，当陀螺效应可以忽略不计时。在这种情况下，会出现特殊的振动形状-机器仅在垂直轴上旋转-不会受到控制器的影响。如果仅更改一个执行器的轴向和/或水平方向的刚度和/或阻尼（这将导致不对称系统），则将不再存在在垂直轴上纯旋转的振动形状。现在，振动形状将变得更加耦合，并且它们都可能受到控制器的影响，

结论

使用此处介绍的“非对称振动模式耦合”方法，现在可以主动控制所有振动模式形状。