Autobalancing of rotors

Bövik, Peter; Högfors, Christian

doi:10.1016/s0022-460x(86)81402-x

Cited by 49 publications

(16 citation statements)

References 1 publication

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“…Theoretical studies, where the ADB is modelled using equations similar to (1) and (2), can be found in Refs. [1][2][3]14,15,17]. Similarly, experimental results can be found in Refs.…”

Section: Equations Of Motionmentioning

confidence: 55%

Analysis of the transient response of an automatic dynamic balancer for eccentric rotors

Green

Champneys

Friswell

2006

International Journal of Mechanical Sciences

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This paper investigates the transient response of a dynamical system modelling an automatic dynamic balancing mechanism for eccentric rotors. By using recently developed computational techniques, pseudospectra of the linearisation of the system about an equilibrium are computed. This approach allows one to quantify which eigenvalues are most sensitive to perturbation. It is shown how the sensitivity of the eigenvalues directly influences the transient response. Furthermore, the effect which a variation of the damping coefficients has on the pseudospectra structure is considered. A transient growth due to the non-normality of the linearised system is shown to lead to an exponential decay or to a collapse back to the stable equilibrium; these effects are identified with the changes in the sensitivities of the eigenvalues under variation of the damping parameters. This provides a new insight into the full nonlinear system, in which qualitatively similar transient responses are shown to occur.

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“…Theoretical studies, where the ADB is modelled using equations similar to (1) and (2), can be found in Refs. [1][2][3]14,15,17]. Similarly, experimental results can be found in Refs.…”

Section: Equations Of Motionmentioning

confidence: 55%

Analysis of the transient response of an automatic dynamic balancer for eccentric rotors

Green

Champneys

Friswell

2006

International Journal of Mechanical Sciences

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“…Also, it is found that the lowest natural frequency among Ω cr.1 , Ω cr.2 , and Ω cr.3 in (24) is apparently Ω cr.1 with the relation Ω cr.1 < Ω cr.2 < Ω cr. 3 .…”

Section: Numerical Simulation Resultsmentioning

confidence: 99%

“…Thearle [1] performed an early experimental work of automatic balancing under various imbalances. Further, [2,3] verified that a complete balancing can be accomplished via ABD equipped with a minimum of two balancer masses. Majewski [4] investigated the effects of runway eccentricity and rolling resistance of ABD-balls for the rotor-balancer system at steady state.…”

Section: Introductionmentioning

confidence: 91%

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Supercritical Coexistence Behavior of Coupled Oscillating Planar Eccentric Rotor/Autobalancer System

Jung

2018

Shock and Vibration

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The automatic balancing and undesirable nonsynchronous behavior of coupled oscillating configured flexible foundation and planar eccentric rotor equipped with a passive autobalancer (AB) system has been thoroughly investigated here. Specifically, it is described that the unified AB/rotor unit is attached to a foundation via a symmetric support and the foundation is also mounted on the spring-damper isolator which allows oscillating only vertically. Therefore, the AB/rotor unit dynamically interacts with the flexible foundation, which is quite analogous to well-known vertically coupled two-spring and two-mass oscillator. Although the single unit AB/rotor system is widely explored in the related AB studies, such coupled arrangement with AB discussed here has not been previously investigated and thus needs to be explored for further application of AB into various vibration isolation problems of other complicated machines/settings. Therefore, solutions for the synchronous stable balanced and the nonsynchronous unstable limit cycle response of AB/rotor/foundation system are obtained via a fixed equilibrium condition and a harmonic like balancing approach. Furthermore, the stability of each response is assessed via a perturbation and Floquet analysis and, for the system parameters and operating speeds, the undesirable coexistence of the wanted stable balanced synchronous response and undesirable nonsynchronous limit cycle has been thoroughly studied. Due to coupled oscillating feature, it is newly found that the multiple limit cycles are encountered in the range of supercritical speeds and more complicated coexistence is attracted into the system, as well as the damping parameters of coupled components (i.e., flexible foundation) influences of the undesirable limit cycle of AB on the particular supercritical speeds. The findings in this paper yield important insights for researchers wishing to utilize automatic balancing devices in more practical rotor systems coupled with additional vibrating mechanical subsystem such as a washing machine or a reciprocating air conditioning compressor with a flexible foundation.

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“…Inoue et al [3] utilized numerical methods to analyze dynamics of a rotor/balancer system by assuming the rotor operated at constant speeds. Bövik and Högfors [4] showed that the auto-balancers were applicable to reduce both planar and non-planar vibrations of rotors. Jinnouchi et al [5] concluded that ball balancers were able to provide excellent balancing effects above the critical speed, but led to moderate vibrations at low speeds.…”

Section: Introductionmentioning

confidence: 99%

A Novel Low‐Torque Ball Re‐Positioning Scheme Based on a Sliding‐Mode Ball Observer for an Automatic Balancer System

Chao

Chiu

Shih

2008

Shock and Vibration

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Abstract.A novel low-torque ball re-positioning scheme based on a sliding-mode ball observer is developed in this study with the aim to precisely reside the rolling ball inside an automatic balancer system (ABS) to its desired position -180 degree opposite to the inherent imbalance of the rotating system which the ABS is attached to. In this way, the ABS is capable of substantially reducing radial vibrations of the rotating system for a decent balancing. For preliminary feasibility, the case of a single ball is considered in this study. The first step is to establish the dynamic model of the system, which is followed by the analysis to ensure stability of the desired ball position. The second step is to forge a sliding-mode observer for estimating on-line position and velocity of the ball. With ball estimation capability, a low-torque speed regulator that essentially generates a series of speed drops to the neighborhood of suspension resonance is proposed to overcome practical ball rolling friction for residing the ball at the desired position. The design characteristic of low-torque required for the regulator is particularly suited to most of commercial spindle motors which can only output limited torques at high speeds. Finally, simulations and experiments are conducted for a benchmark problem of optical disc drives in order to verify the effectiveness of the proposed scheme of the sliding-mode observer and the low-torque speed regulator.

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Autobalancing of rotors

Cited by 49 publications

References 1 publication

Analysis of the transient response of an automatic dynamic balancer for eccentric rotors

Analysis of the transient response of an automatic dynamic balancer for eccentric rotors

Supercritical Coexistence Behavior of Coupled Oscillating Planar Eccentric Rotor/Autobalancer System

A Novel Low‐Torque Ball Re‐Positioning Scheme Based on a Sliding‐Mode Ball Observer for an Automatic Balancer System

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