Complete balancing of a disk mounted on a vertical cantilever shaft using a two ball automatic balancer

Rajalingham, C.; Bhat, Rama

doi:10.1016/j.jsv.2005.03.025

Cited by 28 publications

(14 citation statements)

References 4 publications

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“…The equilibrium of drum 2 gives the following conditions Fig. 5 f 2x þ f 3x þ X Q ix ¼ 0; (12) m 2y þm 3y ¼ 0: (13) Using the boundary conditions and defining the internal shear forces and bending moments from Eq. (10) and substituting them into Eqs.…”

Section: Definition Of the Coefficientsmentioning

confidence: 99%

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Self-balancing system of the disk on an elastic shaft

Majewski

Szwedowicz

Melo

2015

Journal of Sound and Vibration

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Section: Definition Of the Coefficientsmentioning

confidence: 99%

“…Some authors have applied the ball balancer to hand-held equipment with rotating elements (e.g., hand grinders, optic discs) [13,[16][17][18][19][20][21]. This makes the machine run more quietly, with a smoother cut, and increases the lifetime of the grinding disks, thus significantly ensuring faster and more pleasant work.…”

mentioning

confidence: 99%

Self-balancing system of the disk on an elastic shaft

Majewski

Szwedowicz

Melo

2015

Journal of Sound and Vibration

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“…and Bhat [11] proposed the various 3-dimensional dynamic behavior of ABD-rotor system including in-plane transverse, nonplanar tilting, and gyroscopic effect and revealed that the supercritical balancing behavior can be achieved. Even though ABD shows the effectiveness of dealing with the supercritical unbalance vibration, [12,13] investigated and remarked the supercritical coexistence of stable synchronous balancing condition and unstable limit cycle, which induces a significant undesirable vibration.…”

Section: Introductionmentioning

confidence: 99%

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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“…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. On the other hand, studies [6][7][8] are devoted to conduct stability analysis besides modeling, which is aimed to ensure ABS performance under various system parameters and operation conditions. Most recently, the ABS has been applied to optical disc drives owing to its merits of dynamic passiveness and simple structure.…”

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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Complete balancing of a disk mounted on a vertical cantilever shaft using a two ball automatic balancer

Cited by 28 publications

References 4 publications

Self-balancing system of the disk on an elastic shaft

Self-balancing system of the disk on an elastic shaft

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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