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Hiroyuki Ueda - One of the best experts on this subject based on the ideXlab platform.
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Transmission Error due to Resonance in Synchronous Belt Drive With Eccentric Pulley
Volume 8: 28th Conference on Mechanical Vibration and Noise, 2016Co-Authors: Masanori Kagotani, Hiroyuki UedaAbstract:In synchronous belt drives, it is generally difficult to eliminate pulley eccentricity, because the pulley teeth and shaft hole are produced separately. This eccentricity affects the accuracy of rotation Transmission, so that the belt tension changes during a single rotation of the pulley. This in turn affects the occurrence of resonance in the spans. In the present study, the Transmission Error in a synchronous belt drive with an eccentric pulley in the absence of a transmitted load was experimentally investigated for the case in which the spans undergo first-mode transverse vibration due to resonance. The Transmission Error was found to have a component with a period equal to the displacement of the span, in addition to a component with a period of half the displacement of the span. During a single rotation of the pulley, the magnitude of the Transmission Error increased, and its frequency decreased, with decreasing belt tension. The Transmission Error exhibited the large value when two frequency conditions were satisfied: one was that the meshing frequency was within the range of span frequency variations due to the eccentricity, and the other was that the minimum frequency of the span was close to an integer multiple of the rotation frequency of the pulley. Even if both of these conditions occurred, if the range of span frequency variations due to the eccentricity was larger than 13 Hz, the Transmission Error could be eliminated by adjusting the belt tension so that the average frequency of the span corresponded to the meshing frequency.
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Influence of Installation Tension on Transmission Error Due to Resonance in a Synchronous Belt
Journal of Mechanical Design, 2015Co-Authors: Masanori Kagotani, Hiroyuki UedaAbstract:In synchronous belt drives, a Transmission Error is generated due to resonance of the belt spanning the driving and driven pulleys when the transverse natural frequency of the belt approaches the meshing frequency of the belt and the pulley teeth. The behavior of this Transmission Error has been assumed to be dependent on the installation tension. In the present study, the influence of the installation tension on the Transmission Error in a synchronous belt drive under no transmitted load was experimentally investigated for the case in which first mode vibration due to resonance was induced in both the upper and lower spans. In addition, an analysis of the Transmission Error based on the experimental results was carried out. A method for reducing the Error was also investigated. The Transmission Error contains two components: one with a period equal to the pitch of the pulley, and the other with a period of half the pulley pitch. Good agreement was found between the calculation and experimental results, thus confirming the validity of the analysis method. For a fixed pulley speed, the Transmission Error was largest when the installation tension was applied at a position where the displacement of the upper span was equal to that of the lower span. It was found that the Transmission Error could be reduced by pushing an idler lightly against the center of the span of the belt that was undergoing the largest displacement.
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Influence of Installation Tension on Transmission Error due to Resonance in a Synchronous Belt
Volume 2: Dynamics Vibration and Control; Energy; Fluids Engineering; Micro and Nano Manufacturing, 2014Co-Authors: Masanori Kagotani, Hiroyuki UedaAbstract:In synchronous belt drives, Transmission Error is generated due to resonance of the belt spanning the driving and driven pulleys when the transverse natural frequency of the belt approaches the meshing frequency of the belt and the pulley teeth. The behavior of the Transmission Error caused by resonance has been assumed to be dependent on the installation tension. In the present study, the influence of installation tension on the Transmission Error in a synchronous belt drive was experimentally investigated for a case in which first mode vibration due to resonance was induced in both the upper and lower spans. In addition, an analysis of the Transmission Error based on the experimental results was carried out. A Transmission Error contains two components: one with a period equal to the pitch of the pulley, and the other with a period of half the pulley pitch. Good agreement was found between the calculation and experimental results, thus confirming the validity of the analysis method. For a fixed pulley speed, the Transmission Error was largest when the installation tension was applied at a position where the displacement of the upper span was equal to that of the lower span. When the installation tension was varied and the pulley speed was adjusted so that the belt experienced resonance, the Transmission Error decreased with an increase in installation tension.Copyright © 2014 by ASME
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Transmission Error in Synchronous Belt With Resonance Under Installation Tension
Journal of Mechanical Design, 2012Co-Authors: Masanori Kagotani, Hiroyuki UedaAbstract:Synchronous belt drives generate resonance on the belt spans between the driving and driven pulleys when the transverse natural frequency of the belt, matches the meshing frequency of the belt tooth and the pulley tooth. The resonance of the belt spans affects the accuracy of rotation Transmission. In the present study, the mechanisms generating the Transmission Error in synchronous belt drives under installation tension and a pulley speed ratio of 1:1 are investigated theoretically and experimentally for the case in which the belt spans generate first mode vibration due to resonance. In addition, the change in the shaft load caused by resonance is examined. The calculated and experimental Transmission Errors show good agreement, and so the validity of our analysis is confirmed. Transmission Error is generated by the difference in displacement between the upper and lower belt spans due to the convex or concave shape, the difference in the amount of belt climbing at the beginning and end of meshing, and the generation of torque due to the moment of inertia on the driven side. The Transmission Error has a period of 1/2 of one pitch of the pulley, and the generated change in the shaft load, which is the sum of the displacement due to the convex or concave shape of the upper and lower spans and the sum of the belt climbing at the beginning and end of meshing, has a period of one pitch of the pulley.
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Transmission Error in Synchronous Belt With Resonance Under Installation Tension
Volume 8: Mechanics of Solids Structures and Fluids; Vibration Acoustics and Wave Propagation, 2011Co-Authors: Masanori Kagotani, Hiroyuki UedaAbstract:Synchronous belt drives are widely employed to transmit rotation accurately. The belt spans between the driving and driven pulleys generate resonance when the transverse natural frequency of the belt, as in string vibration, matches the meshing frequency of the belt tooth and the pulley tooth. The resonance of the belt spans affects the behavior of the Transmission Error. In the present study, the mechanisms generating the Transmission Error in synchronous belt drives under installation tension and a pulley speed ratio of 1:1 are investigated theoretically and experimentally for the case in which the belt spans generate first mode vibration due to resonance. The calculated and experimental Transmission Errors show good agreement, and so the validity of our analysis is confirmed. The Transmission Error has a period of 1/2 of one pitch of the pulley, and is generated by the difference in displacement between the upper and lower belt spans, the difference in the amount of belt climbing at the beginning and end of meshing, and the generation of torque due to the moment of inertia on the driven side.Copyright © 2011 by ASME
Masanori Kagotani - One of the best experts on this subject based on the ideXlab platform.
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Transmission Error due to Resonance in Synchronous Belt Drive With Eccentric Pulley
Volume 8: 28th Conference on Mechanical Vibration and Noise, 2016Co-Authors: Masanori Kagotani, Hiroyuki UedaAbstract:In synchronous belt drives, it is generally difficult to eliminate pulley eccentricity, because the pulley teeth and shaft hole are produced separately. This eccentricity affects the accuracy of rotation Transmission, so that the belt tension changes during a single rotation of the pulley. This in turn affects the occurrence of resonance in the spans. In the present study, the Transmission Error in a synchronous belt drive with an eccentric pulley in the absence of a transmitted load was experimentally investigated for the case in which the spans undergo first-mode transverse vibration due to resonance. The Transmission Error was found to have a component with a period equal to the displacement of the span, in addition to a component with a period of half the displacement of the span. During a single rotation of the pulley, the magnitude of the Transmission Error increased, and its frequency decreased, with decreasing belt tension. The Transmission Error exhibited the large value when two frequency conditions were satisfied: one was that the meshing frequency was within the range of span frequency variations due to the eccentricity, and the other was that the minimum frequency of the span was close to an integer multiple of the rotation frequency of the pulley. Even if both of these conditions occurred, if the range of span frequency variations due to the eccentricity was larger than 13 Hz, the Transmission Error could be eliminated by adjusting the belt tension so that the average frequency of the span corresponded to the meshing frequency.
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Influence of Installation Tension on Transmission Error Due to Resonance in a Synchronous Belt
Journal of Mechanical Design, 2015Co-Authors: Masanori Kagotani, Hiroyuki UedaAbstract:In synchronous belt drives, a Transmission Error is generated due to resonance of the belt spanning the driving and driven pulleys when the transverse natural frequency of the belt approaches the meshing frequency of the belt and the pulley teeth. The behavior of this Transmission Error has been assumed to be dependent on the installation tension. In the present study, the influence of the installation tension on the Transmission Error in a synchronous belt drive under no transmitted load was experimentally investigated for the case in which first mode vibration due to resonance was induced in both the upper and lower spans. In addition, an analysis of the Transmission Error based on the experimental results was carried out. A method for reducing the Error was also investigated. The Transmission Error contains two components: one with a period equal to the pitch of the pulley, and the other with a period of half the pulley pitch. Good agreement was found between the calculation and experimental results, thus confirming the validity of the analysis method. For a fixed pulley speed, the Transmission Error was largest when the installation tension was applied at a position where the displacement of the upper span was equal to that of the lower span. It was found that the Transmission Error could be reduced by pushing an idler lightly against the center of the span of the belt that was undergoing the largest displacement.
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Influence of Installation Tension on Transmission Error due to Resonance in a Synchronous Belt
Volume 2: Dynamics Vibration and Control; Energy; Fluids Engineering; Micro and Nano Manufacturing, 2014Co-Authors: Masanori Kagotani, Hiroyuki UedaAbstract:In synchronous belt drives, Transmission Error is generated due to resonance of the belt spanning the driving and driven pulleys when the transverse natural frequency of the belt approaches the meshing frequency of the belt and the pulley teeth. The behavior of the Transmission Error caused by resonance has been assumed to be dependent on the installation tension. In the present study, the influence of installation tension on the Transmission Error in a synchronous belt drive was experimentally investigated for a case in which first mode vibration due to resonance was induced in both the upper and lower spans. In addition, an analysis of the Transmission Error based on the experimental results was carried out. A Transmission Error contains two components: one with a period equal to the pitch of the pulley, and the other with a period of half the pulley pitch. Good agreement was found between the calculation and experimental results, thus confirming the validity of the analysis method. For a fixed pulley speed, the Transmission Error was largest when the installation tension was applied at a position where the displacement of the upper span was equal to that of the lower span. When the installation tension was varied and the pulley speed was adjusted so that the belt experienced resonance, the Transmission Error decreased with an increase in installation tension.Copyright © 2014 by ASME
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Transmission Error in Synchronous Belt With Resonance Under Installation Tension
Journal of Mechanical Design, 2012Co-Authors: Masanori Kagotani, Hiroyuki UedaAbstract:Synchronous belt drives generate resonance on the belt spans between the driving and driven pulleys when the transverse natural frequency of the belt, matches the meshing frequency of the belt tooth and the pulley tooth. The resonance of the belt spans affects the accuracy of rotation Transmission. In the present study, the mechanisms generating the Transmission Error in synchronous belt drives under installation tension and a pulley speed ratio of 1:1 are investigated theoretically and experimentally for the case in which the belt spans generate first mode vibration due to resonance. In addition, the change in the shaft load caused by resonance is examined. The calculated and experimental Transmission Errors show good agreement, and so the validity of our analysis is confirmed. Transmission Error is generated by the difference in displacement between the upper and lower belt spans due to the convex or concave shape, the difference in the amount of belt climbing at the beginning and end of meshing, and the generation of torque due to the moment of inertia on the driven side. The Transmission Error has a period of 1/2 of one pitch of the pulley, and the generated change in the shaft load, which is the sum of the displacement due to the convex or concave shape of the upper and lower spans and the sum of the belt climbing at the beginning and end of meshing, has a period of one pitch of the pulley.
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Transmission Error in Synchronous Belt With Resonance Under Installation Tension
Volume 8: Mechanics of Solids Structures and Fluids; Vibration Acoustics and Wave Propagation, 2011Co-Authors: Masanori Kagotani, Hiroyuki UedaAbstract:Synchronous belt drives are widely employed to transmit rotation accurately. The belt spans between the driving and driven pulleys generate resonance when the transverse natural frequency of the belt, as in string vibration, matches the meshing frequency of the belt tooth and the pulley tooth. The resonance of the belt spans affects the behavior of the Transmission Error. In the present study, the mechanisms generating the Transmission Error in synchronous belt drives under installation tension and a pulley speed ratio of 1:1 are investigated theoretically and experimentally for the case in which the belt spans generate first mode vibration due to resonance. The calculated and experimental Transmission Errors show good agreement, and so the validity of our analysis is confirmed. The Transmission Error has a period of 1/2 of one pitch of the pulley, and is generated by the difference in displacement between the upper and lower belt spans, the difference in the amount of belt climbing at the beginning and end of meshing, and the generation of torque due to the moment of inertia on the driven side.Copyright © 2011 by ASME
Alain Bernard - One of the best experts on this subject based on the ideXlab platform.
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New methodology to reduce the Transmission Error of the spiral bevel gears
CIRP Annals - Manufacturing Technology, 2014Co-Authors: Julien Astoul, J. M. Linares, Emmanuel Mermoz, M. Sartor, Alain BernardAbstract:New methods and tools have been developed the last years to improve the understanding of gear meshing. Mechanical industries attach growing attention to the dynamic behavior of mechanical Transmissions, including vibration and noise that result. The Transmission Error of the gear, which measures the intensity of one of the main causes of dynamic phenomena, can be considered as a relevant indicator of gear performance. This paper presents a new design method of spiral bevel gears, the objective of this method being to reduce their quasi-static Transmission Error. The proposed approach is based on an optimization process including loaded meshing simulations. The simulation model has been evaluated using a helicopter tail gearbox as bench test. Measurement results are given, showing a good correlation with predictions. © 2014 CIRP.
Julien Astoul - One of the best experts on this subject based on the ideXlab platform.
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New methodology to reduce the Transmission Error of the spiral bevel gears
CIRP Annals - Manufacturing Technology, 2014Co-Authors: Julien Astoul, J. M. Linares, Emmanuel Mermoz, M. Sartor, Alain BernardAbstract:New methods and tools have been developed the last years to improve the understanding of gear meshing. Mechanical industries attach growing attention to the dynamic behavior of mechanical Transmissions, including vibration and noise that result. The Transmission Error of the gear, which measures the intensity of one of the main causes of dynamic phenomena, can be considered as a relevant indicator of gear performance. This paper presents a new design method of spiral bevel gears, the objective of this method being to reduce their quasi-static Transmission Error. The proposed approach is based on an optimization process including loaded meshing simulations. The simulation model has been evaluated using a helicopter tail gearbox as bench test. Measurement results are given, showing a good correlation with predictions. © 2014 CIRP.
Tomio Koyama - One of the best experts on this subject based on the ideXlab platform.
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Transmission Error in Helical Synchronous Belt Drives in Bidirectional Operation Under No Transmitted Load (Influence of Pulley Flanges)
Journal of Mechanical Design, 2004Co-Authors: Masanori Kagotani, Hiroyuki Ueda, Kenichi Makita, Tomio KoyamaAbstract:Helical synchronous belt drives are more effective than conventional synchronous belt drives with respect to reducing noise and Transmission Error per single pitch of the pulley. However, the helix angle of the tooth trace causes axial belt movement. Therefore, flanged pulleys are used in a helical synchronous belt drive, in order to prevent the belt from running off the pulley. In the present study, the Transmission Error in a helical synchronous belt drive using flanged pulleys under no transmitted load was investigated both theoretically and experimentally for the case where the pulley was rotated in bidirectional operation. The computed Transmission Error agrees well with the experimental results, thereby confirming the applicability of the proposed theoretical analysis for Transmission Error. In this case, Transmission Error is found to be generated by the difference in axial belt movement between the driving and driven sides, and by a change in the state of contact between the belt and pulley teeth flanks. The Transmission Error is reduced when the installation tension is set higher than the tension that causes a change in contact direction between the tooth flanks. In addition, Transmission Error does not occur when the driving and driven pulleys are of equal outside diameter and have no alignment Error between the driving and driven pulleys in the axial direction.
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Influence of Idler on Transmission Error in Synchronous Belt Drives (Under Transmission Force)
Journal of Mechanical Design, 2003Co-Authors: Kenichi Makita, Masanori Kagotani, Hiroyuki Ueda, Tomio KoyamaAbstract:Synchronous belt drives are widely used in various machines in order to transmit rotation accurately and synchronously. In these machines, idlers are commonly used to increase the angle of contact on the pulley and to avoid obstacles. However, the generating source of the Transmission Error under a Transmission force with an idler remains unclear In the present study, Transmission Error over a period of one pitch of the pulley was investigated both theoretically and experimentally for a synchronous belt drive attached an idler when a Transmission force acted on the belt span. The experimental results agree closely with the computed results. The Transmission Error is greatly affected by change in the meshing state in the incomplete meshing sections. The idler position at which the Transmission Error is reduced exists even if the Transmission torque increases. In addition, Transmission Error is reduced when the helix angle is increased.
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Transmission Error in Helical Synchronous Belt Drives in Bidirectional Operation: Influence of Pulley Flange Under No Load
Volume 4: 9th International Power Transmission and Gearing Conference Parts A and B, 2003Co-Authors: Masanori Kagotani, Hiroyuki Ueda, Kenichi Makita, Tomio KoyamaAbstract:Helical synchronous belt drives are more effective than conventional synchronous belt drives with respect to reducing noise and Transmission Error per single pitch of the pulley. However, the helix angle of the tooth trace causes axial belt movement. Therefore, a flanged pulley is used in a helical synchronous belt drive. In the present study, the Transmission Error in a helical synchronous belt drive using a flanged pulley under installation tension was investigated both theoretically and experimentally for the case where the pulley was rotated in bidirectional operation. The computed Transmission Error agrees well with the experimental results, thereby confirming the applicability of the proposed theoretical analysis for Transmission Error. In this case, Transmission Error is found to be generated by the difference in axial belt movement between the driving and driven sides, and by a change in the state of contact between the belt and pulley teeth flanks. The Transmission Error is reduced when the installation tension is set higher than the tension that causes a change in contact direction between the tooth flanks. In addition, Transmission Error does not occur when the driving and driven pulleys are of equal outside diameter and have no pulley alignment Error.Copyright © 2003 by ASME
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Influence of Idler on Transmission Error in Synchronous Belt Drives. In Case of No Load.
Transactions of the Japan Society of Mechanical Engineers Series C, 2001Co-Authors: Masanori Kagotani, Hiroyuki Ueda, Kenichi Makita, Tomio KoyamaAbstract:Idlers are widely used in synchronous belt drives in order to adjust the center distance and in order to increase the angle of contact. A meshing phase angle occurs when an idler is attached and this is thought to generate a Transmission Error. In the present study, a Transmission Error having a period of one pitch of the pulley was investigated both theoretically and experimentally for synchronous belt drives with an idler attached on the belt span. The experimental conditions were such that the speed ratio was one under a quasi-static condition and no load. The experimentally obtained Transmission Error that occurs due to the idler agrees closely with the computed result. In addition, changes in tooth load and frictional force have a greater influence than change in meshing phase angle on the magnitude of the Transmission Error. The magnitude of the Transmission Error is affected when the idler is moved in the direction normal to the bearing stand, and is unaffected when the idler is moved in the direction parallel to the bearing stand. Furthermore, when the diameter of the idler increases, the Transmission Error remains constant. However, when the diameter of the idler decreases, the Transmission Error increases.
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A Study on Transmission Error in Timing Belt Drives (Effect of Production Error in Polychloroprene Rubber Belt)
Journal of Mechanical Design, 1993Co-Authors: Tomio KoyamaAbstract:Experiments on a Transmission Error caused by production Errors in polychloroprene rubber timing belts were performed under a quasistatic condition and an initial tension. The experimental results were compared with the computed results obtained using the measurement results of the production Error in the belt. It was confirmed that the Transmission Error, having a period of one revolution of the belt, was mainly caused by a single pitch Error, a change in cross-sectional area of the load carrying cords and a change in modulus of elasticity for one revolution of the belt. As the experimental results coincided quite well with the computed ones, it was concluded that the measurement methods for the single pitch Error and the belt elongation factor, and the arrangement methods of these values used to compute the Transmission Error were valid. Further, it was found that the Transmission Error due to the production Error in the belt lessens when the initial tension becomes smaller.
