Contact stress analysis of helical gear pairs, including frictional coefficients

Patil, Santosh; Karuppanan, Saravanan; Atanasovska, Ivana; Wahab, Azmi Abdul

doi:10.1016/j.ijmecsci.2014.05.013

Cited by 78 publications

(28 citation statements)

References 11 publications

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“…These velocities depend on the tooth profile pitch deviations as well as on the total deformation of a tooth pair. Values of the pinion tooth deformation, the wheel tooth deformation, and the total deformation of the tooth pair should be calculated precisely; for this reason, the Finite Element Analyses are performed using the models developed specially for that purpose, [18,[20][21].…”

Section: Description Of Collision and Vibro-impact Phenomena In The Cmentioning

confidence: 99%

A New Collision Model for Analysing the Vibro-Impact of Spur Gears

Atanasovska

Hedrih

2018

TFAMENA

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A model of a central centric collision of two fictive rolling disks, with radii equal to the radii of pitch diameters of coupled gears, is used to describe the vibro-impact dynamics of spur gears. Total deformations vary during the operation of spur gears with involute profile, particularly as a result of variable number of pairs of teeth in contact. These variations, as well as tooth profile misalignments or damages, lead to the backlash, the appearance of internal dynamic forces, and impact. Particular values of tooth profile parameters and transmission ratio create the conditions for a vibro-impact vibration regime. The vibro-impact gear dynamics is characterized by vibro-impact vibrations in the contact between the pinion tooth and the wheel tooth during a short period of time after the collision. New formulas for the calculation of the time periods between two tooth collisions, as well as between two successive tooth collision impacts, are devised. Also, a set of equations for the calculation of the disturbance angular velocity of the pinion called the transmission error is developed; the transmission error has a role of an excitation for vibro-impact vibrations in the gear tooth contact.

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Section: Description Of Collision and Vibro-impact Phenomena In The Cmentioning

confidence: 99%

A New Collision Model for Analysing the Vibro-Impact of Spur Gears

Atanasovska

Hedrih

2018

TFAMENA

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“…The meshing performance of helical gear get better with increasing the spiral angle of helical gear; but at the same time, the axial force will also be increased. [12][13][14][15] Therefore, it is necessary to consider the axial degree of freedom when establishing the vibration model of helical gear. The helical gear vibration model with six degrees of freedom is established as Figure 10, and it is a two-parameter (stiffness and damping) model with torsional and lateral vibration, which means that it includes both the linear and rotational equations of the system's motion.…”

Section: Influence Of Tooth Pitch Deviation On Meshing Vibrationmentioning

confidence: 99%

Study of the influence mechanism of pitch deviation on cylindrical helical gear meshing stiffness and vibration noise

Wang

Fang

et al. 2017

Advances in Mechanical Engineering

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To analyze the influence mechanism of pitch deviation on cylindrical helical gear meshing stiffness and vibration noise, the calculation methods about meshing stiffness and engaging vibration of helical gear which consider actual pitch deviations are proposed. The numbering rules of gear meshing teeth in LTCA (Load Tooth Contact Analysis) were rearranged according to the contact ratio and tooth pitch deviation, and the time-varying meshing stiffness and the axial degree of freedom were considered in the helical gear vibration model. A numerical simulation of example based on helical gears with the given pitch deviation is performed, which proves that load transmission error and RMS (root mean square) value of meshing vibration acceleration with tooth pitch deviation are bigger than that with standard pitch. The percent deviation of meshing stiffness increased with the increase in contact ratio, but decreased gradually with increase in load. The resonant frequency of vibration acceleration with pitch deviation becomes smaller comparing to the frequency with standard pitch. This study provides evidence that it is essential to consider the influence of pitch deviation when we design the parameters and predict vibration of cylindrical helical gear transmission system.

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“…The stress concentration region is the initiation point of a failure or fracture of the gear tooth [3]. Several recent researches [4][5][6][7] have concentrated on using the FE approach to determine the stress concentrations on the spur gear tooth. Hassan [4] developed a program which uses superposition mode calculation of meshing teeth to determine the contact stresses.…”

Section: Introductionmentioning

confidence: 99%

Frictional stress analysis of spur gear with misalignments

Eng¹,

Karuppanan²,

Patil³

2018

J. MECH. ENG. SCI.

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Misalignments in gears cause vibrations and contact nonlinearities, which in turn cause load distribution shift on the gear tooth. The load distribution shift of the gear pair results in increased contact and bending stresses with the maximum stresses leaning towards the edge of the face width. These stress changes cause failures and gear performance variations, such as pitting, scuffing, crack initiation and eventually tooth breakage. In this paper, the contact and bending stresses of a misaligned spur gear pair were evaluated with and without friction by employing corresponding analytical methods and finite element method (FEM). Friction coefficient values of 0.1 to 0.3 were used to evaluate the effects of friction on contact and bending stress distribution of a spur gear pair with axial and angular misalignments. The stress concentration was found to be higher at the contact point and at the tooth root of the gear with the augmentation of the misalignment distance and angle. The maximum contact and bending stresses increased by 67.5% and 18.9%, respectively, when axial misalignments were subjected. Similarly, the maximum contact and bending stresses increased by 27.0% and 62.4%, respectively, for angular misalignments. Furthermore, the contact and bending stresses increased proportionally with the increasing coefficient of friction. Finally, the relationships between the normalized stress and misalignments (both axial and angular) were established.

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Contact stress analysis of helical gear pairs, including frictional coefficients

Cited by 78 publications

References 11 publications

A New Collision Model for Analysing the Vibro-Impact of Spur Gears

A New Collision Model for Analysing the Vibro-Impact of Spur Gears

Study of the influence mechanism of pitch deviation on cylindrical helical gear meshing stiffness and vibration noise

Frictional stress analysis of spur gear with misalignments

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