Optimal balancing of flexible rotors by minimizing the condition number of influence coefficients

Yuan, Kun; Lin, Tsu-Wei; Chang, Yaw-Jen; Chang, Yeon-Pun; Wang, Chun‐Chieh

doi:10.1016/j.mechmachtheory.2007.06.005

Cited by 39 publications

(30 citation statements)

References 10 publications

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“…The superscript * represents the Hermitian transform of the matrix. According to (10), the optimal control problem of rotor vibration suppression becomes a problem of how to minimize the objective function . Assuming that the original unbalanced vibration remains constant during being controlled, the current rotor vibration can be expressed by the amount of change of rotor vibration and correction force for the previous iteration period; that is,…”

Section: Weighted Optimization Of the Influence Coefficientmentioning

confidence: 99%

“…Lee et al [9] proposed an active balancing method for rotating machinery using the influence coefficient method. Kang et al [10] studied the optimal balancing of flexible rotors by minimizing the condition number of influence coefficients, and so on. The flexible spindle vibration control method with active magnetic bearing is characterized in real time and online.…”

Section: Introductionsmentioning

confidence: 99%

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Active Control for Multinode Unbalanced Vibration of Flexible Spindle Rotor System with Active Magnetic Bearing

Qiao

2017

Shock and Vibration

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The unbalanced vibration of the spindle rotor system in high-speed cutting processes not only seriously affects the surface quality of the machined products, but also greatly reduces the service life of the electric spindle. However, since the unbalanced vibration is often distributed on different node positions, the multinode unbalanced vibration greatly exacerbates the difficulty of vibration control. Based on the traditional influence coefficient method for controlling the vibration of a flexible rotor, the optimal influence coefficient control method with weights for multinode unbalanced vibration of flexible electric spindle rotors is proposed. The unbalanced vibration of all nodes on the whole spindle rotor is used as the control objective function to achieve optimal control. The simulation results show that the method has an obvious control effect on multinode unbalanced vibration.

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Section: Weighted Optimization Of the Influence Coefficientmentioning

confidence: 99%

Section: Introductionsmentioning

confidence: 99%

Active Control for Multinode Unbalanced Vibration of Flexible Spindle Rotor System with Active Magnetic Bearing

Qiao

2017

Shock and Vibration

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show abstract

“…In this context, researchers continued to develop some revised balancing schemes by utilizing the FEM modeling of the rotor. Kang et al [18] employed the FEM model of the rotor into a balancing scheme, in which they optimized the imbalance estimates by minimizing the condition number of the influence coefficients. They used trial masses, while the rotor was run at speeds above its critical speeds during the balancing sessions.…”

Section: Introductionmentioning

confidence: 99%

A New Method for Field-Balancing of High-Speed Flexible Rotors without Trial Weights

Khulief

Mohiuddin

El-Gebeily

2014

International Journal of Rotating Machinery

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Flexible rotor balancing, in general, relies to a great extent on physical insight into the modal nature of the unbalance response. The objective of this investigation is to develop a hybrid experimental/analytical technique for balancing high-speed flexible rotors. The developed technique adopts an approach that combines the finite element modeling, experimental modal analysis, vibration measurements, and mathematical identification. The modal imbalances are identified and then transformed to the nodal space, in order to determine a set of physical balancing masses at some selected correction planes. The developed method does not rely on trial runs. In addition, the method does not require operating the supercritical rotor in a high-speed balancing facility, while accounting for the contribution of higher significant modes. The developed scheme is applied to a multidisk, multibearing, high-speed flexible rotor, where the interaction between the rotor-bending operating deflections and the forces resulting from the residual unbalance are appreciable. Some new benchmark solutions and observations are reported. The applicability, reliability, and challenges that may be encountered in field applications are addressed.

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“…Active dynamic balancing has been studied for two decades [11][12][13][14]. Additional links, gears, dyads or more complex devices have been used for the balancing task [15].…”

Section: Introductionmentioning

confidence: 99%

Dynamics Analysis of a Three-DOF Planar Serial-Parallel Mechanism for Active Dynamic Balancing with Respect to a Given Trajectory

Wang

Luo

Mei

et al. 2013

International Journal of Advanced Robotic Systems

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The concept of dynamic balancing with respect to a given trajectory is proposed in this paper. Trajectorybased dynamic balancing is a technique that brings additional mechanisms to unbalanced mechanisms with the purpose of actuating the original mechanism to move along a predefined trajectory, regardless of the shaking forces and moments. In this work, a planar three degrees of freedom (3-DOF) serial-parallel mechanism is proposed to implement this technique on an unbalanced platform. The overall structure of the system is firstly introduced and the mechanical design and kinematics of the proposed mechanism is then presented. The dynamic model of the mechanism and the platform is derived and analysed. Finally, numerical examples are presented to verify the effectiveness of the active dynamic balancing mechanism and the improved dynamic performance of the system.

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Optimal balancing of flexible rotors by minimizing the condition number of influence coefficients

Cited by 39 publications

References 10 publications

Active Control for Multinode Unbalanced Vibration of Flexible Spindle Rotor System with Active Magnetic Bearing

Active Control for Multinode Unbalanced Vibration of Flexible Spindle Rotor System with Active Magnetic Bearing

A New Method for Field-Balancing of High-Speed Flexible Rotors without Trial Weights

Dynamics Analysis of a Three-DOF Planar Serial-Parallel Mechanism for Active Dynamic Balancing with Respect to a Given Trajectory

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