Vibration chains are of interest in many fields of practical applications. In this contribution, a modal analysis of the rather special Mikota’s vibration chain is performed. Herein, focus is set on the mode shapes of this multibody oscillator, which was firstly introduced by Mikota as a solid body compensator in hydraulic systems for filtering out fluid flow pulsations. The mode shapes show interesting properties, e.g. an increase in the polynomial representing the coordinates of each mode shape with an increasing eigenfrequency associated with the respective mode shape. This and other properties are discussed exemplary. Some of these properties still have to be proven, which is the task of future work. Additionally, modal damping of Mikota’s vibration chain is discussed. Moreover, an approach for determining the damping matrix for given Lehr’s damping measures without knowing the mode shapes in advance is introduced. This approach involves the determination of a matrix root.

振动链在实际应用的许多领域中都是令人关注的。为此，我们对Mikota的特殊振动链进行了模态分析。在此，重点放在这种多体振荡器的模式形状上，这种振荡器是由Mikota最初作为液压系统中的固体补偿器引入的，用于滤除流体流动脉动。众数形状表现出令人感兴趣的特性，例如，表示每个众数形状的坐标的多项式的增加，以及与各自众数形状相关的本征频率的增加。该和其他特性被示例性地讨论。这些属性中的某些属性仍然必须得到证明，这是未来工作的任务。此外，Mikota的模态阻尼的振动链进行了讨论。此外，介绍了一种在不事先知道模态形状的情况下确定给定Lehr阻尼措施的阻尼矩阵的方法。该方法涉及确定矩阵根。