2004
DOI: 10.1155/s1023621x04000235
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Limits for the Use of Auto‐Balancing

Abstract: The principle for autobalancing by the use of balls running freely in a ring concentric with the rotor center has been known for a long time. However, only in recent times has it been used in real machinery, such as grinding machines and laundry machines. By the increased need for higher precision, it is likely to come into use more frequently in the future. This means that it is important to know its application possibilities better. By using a time averaging technique, it has been possible to find analytical… Show more

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Cited by 12 publications
(7 citation statements)
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“…It is not possible to find a closed form solution to (28), however, if we consider the case with no damping C = 0 then the equations simplify due to the decoupling between the x and y directions. As a consequence, we find that part of the physically realisable solution is given by…”
Section: Determination Of the Coefficients A 1 And A 2 In Terms Of Thmentioning
confidence: 99%
“…It is not possible to find a closed form solution to (28), however, if we consider the case with no damping C = 0 then the equations simplify due to the decoupling between the x and y directions. As a consequence, we find that part of the physically realisable solution is given by…”
Section: Determination Of the Coefficients A 1 And A 2 In Terms Of Thmentioning
confidence: 99%
“…Many studies ( [1] to [6]) deal with the automatic balancing by mobile masses (in general balls). The most important remark concerns the rotational speed of the drum ω, which has to be higher than the last suspension natural frequency ω n in order to have the correcting masses out of phase with the unbalance ([1], see Fig.…”
Section: Theorymentioning
confidence: 99%
“…Regarding energy dissipation the Iwan-based model also performs best but is here followed by the smoothing function based models (6) and (7). The parameters of the respective models found when minimizing the cost function (18), for one of the tested dampers, was for the Coulomb dry friction damper model (4) Similarly the parameters of the foot model were estimated from measurement data using the Optimization toolbox of Matlab to minimize the model error compared to dynamic measurements according to (19). In Fig.…”
Section: Functional Components Parameter Identificationmentioning
confidence: 99%
“…At the same time the balance ring around which the masses travel, marked by a dotted circle will give a reaction force perpendicular to the trajectory, see Details on how to write analytical the equations for the dynamics of rigid rotors having two passive balancing devices are for example available in [17] and [18]. In the latter effects of different geometrical defects such as eccentricity and ellipticity on the performance of the balancing mechanism Fig.…”
Section: Counterbalancingmentioning
confidence: 99%
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