3D-model for active vibration control of rotating machines mounted on active machine foot mounts using vibration mode coupling by asymmetry

  • 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 shapePurpose: 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.show moreshow less

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Metadaten
Author:Ulrich WernerORCiD
DOI:https://doi.org/10.1007/s42417-020-00252-z
Parent Title (English):Journal of Vibration Engineering & Technologies
Publisher:Springer
Editor:ulrich wernerORCiD
Document Type:Article
Language:English
Date of first Publication:2020/10/14
Reviewed:Begutachtet/Reviewed
Release Date:2025/12/12
Tag:3D-model; Active vibration control; Rotating machines; Vibration Mode Coupling by Asymmetry
Volume:9
Pagenumber:613-641
institutes:Institut für leistungselektronische Systeme ELSYS
Research Themes:Energie & Ressourcen
Licence (German):Creative Commons - CC BY - Namensnennung 4.0 International
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