Clearance distribution of misaligned gear coupling teeth considering crowning and geometry variations

Alfares, M.A.; Falah, A. H.; Elkholy, Ahmed

doi:10.1016/j.mechmachtheory.2005.11.004

Cited by 33 publications

(14 citation statements)

References 4 publications

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“…Ma and Hou [10] derived the relative displacement and tooth load distribution of a crowned gear coupling at different misalignments. Alfares et al [11] developed a computational contact algorithm to calculate the clearance distribution of misaligned gear couplings, and results were correlated with those in Nakashima [12] and Heinz [13]. Tjernberg [14] found that tooth-spacing errors affected the number of teeth in contact during operation.…”

Section: Meaningmentioning

confidence: 99%

Theoretical and experimental study on gear-coupling contact and loads considering misalignment, torque, and friction influences

Guo

Lambert

Wallen

et al. 2016

Mechanism and Machine Theory

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A new analytic model addresses the tooth contact and induced loads of gear couplings that are affected by misalignment, torque, and friction. The contact model accounts for Hertzian, bending, and shear deformations of coupling teeth considering crown modifications. For a specified torque and shaft misalignment, the model calculates the number of teeth in contact, tooth load, stiffness, stress, deformation, and safety factors. The tooth load distribution around the circumference compares well with high fidelity finite-element/contact-mechanics analyses. Simulation time with the analytic model is orders of magnitude less. Using the local contact characteristics, the model computes coupling loads that are primarily caused by the disrupted tooth contact and sliding friction caused by axial motions. This analytic model was validated by experiments. The load amplitude depends on the misalignment, torque, and friction. At low torque, coupling motion was induced by the eccentricity between the hub and sleeve even with nearly perfect alignment. This eccentricity was caused by its self-weight. When torque was larger than a threshold, the motion amplitude was greatly reduced. This torque threshold was analytically derived and validated by experiments.

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Section: Meaningmentioning

confidence: 99%

Theoretical and experimental study on gear-coupling contact and loads considering misalignment, torque, and friction influences

Guo

Lambert

Wallen

et al. 2016

Mechanism and Machine Theory

View full text Add to dashboard Cite

show abstract

“…In yet another study, Alfares et al [3] assumed the gear to be a rigid body and calculated the distribution of clearances between the meshing teeth along the coupling circumference with misalignment and showed the effect of geometrical parameters on the performance. The authors concluded an obvious fact that the clearance distribution between the meshing teeth are function of both misalignment and position angles.…”

Section: Introductionmentioning

confidence: 99%

Influence of combined assembly error and bearing elasticity on spur gear tooth contact load distribution

Wang

Qin

Lim

2011

Proceedings of the Institution of Mechanical Engineers, Part C:

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A numerical method to analyse the influence of assembly error on spur gear tooth contact load distribution considering bearing elasticity is formulated. In the proposed approach, a set of transformation matrices are used to define the deviation in tooth geometry orientation from the ideal position due to the bearing elasticity and assembly error. To calculate the gear tooth deflection, the theory of contact mechanics is applied to determine the micro deformation field at the surface layer of the contact region, while the finite element model is used to represent the bulk deformation in the rest of the gear structure. An efficient search strategy for obtaining the true contact points of the deformed tooth is employed. In this strategy, the tooth contact load distribution is determined based on the smallest distance between each pair of candidate contact points within a cross-section of the mating teeth, and as well as the corresponding force and moment balance conditions. Finally, the proposed model is applied to analyse the effect of assembly errors defined at eight circumferential positions on the tooth deformation in a geared rotor system comprising of four elastic bearings.

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“…The shape of the surface is a vital factor in the accuracy of the loaded contact analysis of crown gear coupling. Using a similar geometric model of crown gear coupling to Nakashima’s, 15 Alfares 17 studied the influence of the gear modulus, pressure angle, crown amount, and profile geometry on the minimum clearance distribution along the circumferential direction of each gear tooth when misaligned by dividing the hub surface into several nodes. The result showed that misalignment was the main factor for determining the clearance distribution and that proper crowning could improve the clearance distribution.…”

Section: Introductionmentioning

confidence: 99%

Effects of misalignment and crowning on contact characteristics of crown gear coupling

Guan

Fang

Yang

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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Although crown gear couplings are widely used in rotating machinery, very little is known about their contact behavior and load distribution characteristics. In this study, the manufacturing methods are presented for crown gear coupling. Complete geometrical mathematical models from tools to crown gear coupling are proposed based on the theories of differential geometry and gear mesh. Then, a high-fidelity finite element model verified by tooth contact analysis under light load is employed to investigate load distribution along the crown gear coupling interfaces. The effects of meshing position, torque, and angular misalignment are investigated on load distributions along with crowning amount depending on the displacement circle radius. Finally, it is observed that when the contact position is 0.2 times the width of the tooth, the radius of the displacement circle is the optimal result for the performance of the crown gear coupling.

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Clearance distribution of misaligned gear coupling teeth considering crowning and geometry variations

Cited by 33 publications

References 4 publications

Theoretical and experimental study on gear-coupling contact and loads considering misalignment, torque, and friction influences

Theoretical and experimental study on gear-coupling contact and loads considering misalignment, torque, and friction influences

Influence of combined assembly error and bearing elasticity on spur gear tooth contact load distribution

Effects of misalignment and crowning on contact characteristics of crown gear coupling

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