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Active modal control of a flexible rotor

机译：柔性转子的主动模态控制

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This study explores the applicability of a novel approach by applying a dual-level control for modal vibration suppression of a rotor possessing repeated rigid body modes. Independent modal space control (IMSC) of undamped or proportionally damped systems has been well established. However, the technology was not correctly developed for non-classically damped systems by the pioneer researchers. For non-proportionally damped systems with repeated rigid body modes, the problems of orthogonality and singularity must be treated in a different fashion to facilitate modal vibration control. The present approach applies a first level control to remove any combination of flutter, divergence, rigid body, and/or repeated modes by enabling positive definiteness of the augmented system. A second level control is then applied for the augmented system with complex modes. Ordinary decoupling procedure by using the orthogonality of the left and right eigenvectors can thus be applied for subsequent modal control to suppress excessive vibration of the complex dynamic systems. It is demonstrated that a mode switching approach by directing control to the modes with higher vibration contribution can be beneficial in alleviating the higher mode residual vibration.
机译：这项研究通过应用双级控制来抑制具有重复刚体模式的转子的模态振动，探索了一种新方法的适用性。已经建立了无阻尼或比例阻尼系统的独立模态空间控制（IMSC）。但是，先驱研究人员没有为非经典阻尼系统正确开发该技术。对于具有重复刚体模式的非比例阻尼系统，必须以不同的方式处理正交性和奇异性问题，以便于进行模态振动控制。本方法通过启用增强系统的正定性，应用第一级控制以消除颤动，发散，刚体和/或重复模式的任何组合。然后将第二级控件应用于具有复杂模式的增强系统。因此，通过使用左右特征向量的正交性的普通解耦程序可用于后续的模态控制，以抑制复杂动态系统的过度振动。结果表明，通过将控制指向具有较高振动贡献的模式来进行模式切换可以有益于减轻较高模式的残余振动。

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