Multibody element for spur and helical gear meshing based on detailed three-dimensional contact calculations

Palermo, Antonio; Mundo, Domenico; Hadjit, Rabah; Desmet, Wim

doi:10.1016/j.mechmachtheory.2012.11.006

Cited by 64 publications

(42 citation statements)

References 24 publications

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“…Radial misalignment (H) is denoted as the deviation of the pinion nominal position with respect to the gear tooth along the pinion axis to the gear happened from assembly errors (AE).This position is described based on the coordinate system such as Figure 1 in between contact of the pinion to the gear as suggested by [2]. A positive H error is movement of the pinion away from the gear axis contributed from AE due to manufacture allowable tolerance in between 10 µm to 40 µm [3] parallel to the pinion and gear tooth.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Spur Gear Pair on Tooth Root Bending Stress in Radial Misalignment Contact Condition

Lias

Awang

Rao

et al. 2014

MATEC Web of Conferences

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Abstract. This paper evaluates the effects of radial misalignment contact on the tooth root bending stress values of spur gear pair during the gear meshing cycle. Radial misalignment (H) is denoted as the deviation of the pinion nominal position with respect to the gear tooth along the pinion axis to the gear which happened from manufacturing assembly errors (AE). A model based on involute 3D parametric CAD geometry, of spur gear design ISO 6336:2006 is analysed with allowable AE values from minimum 10µm to maximum 40µm with Finite-Element Method (FEM) model based methodology using a dynamics module from ANSYS. Main parameters of interest are the Tooth root bending stress (TRBS) in H condition with AE along the critical region with respect to face width of pinion-gear section. A comparison between standard High point single tooth contact models (HPSTC) to this model showed a good agreement that H with AE had great influence on TRBS as the values' increase. Radial misalignment influence factor (RMIF) was introduced as indication of TRBS values in consideration of H due to AE shows and inverted patterns higher for pinion, give a good justification that the pinion is weaker compared to the gear.

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Section: Introductionmentioning

confidence: 99%

Evaluation of Spur Gear Pair on Tooth Root Bending Stress in Radial Misalignment Contact Condition

Lias

Awang

Rao

et al. 2014

MATEC Web of Conferences

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“…Recently, an insight on the role of time-varying mesh stiffness and on different calculation approaches was provided by Cooley et al in [11]. In [12], a second-order polynomial function is used to describe the time-variant meshing stiffness that allowed introducing parametric excitation in the multibody model of a planetary gearbox, while a dedicated software for loaded tooth contact analysis in cylindrical gears is used in [13] for the same purpose.…”

Section: Shock and Vibrationmentioning

confidence: 99%

A Study on the Dynamic Behaviour of Lightweight Gears

Shweiki

Palermo

Mundo

2017

Shock and Vibration

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This paper investigates the dynamic effects of mass reduction on a pair of spur gears. A one-Degree-of-Freedom (DOF) model of a mechanical oscillator with clearance-type nonlinearity and linear viscous damping is used to perform the investigations. Onedimensional (1D) gear pair models aim at studying the torsional gear vibrations around the rotational axes and can be used to simulate either gear whine or gear rattle phenomena. High computational efficiency is reached by using a spring-damper element with variable stiffness to model the gear meshing process. The angle-dependent mesh stiffness function is computed in a preparation phase through detailed Finite Element (FE) simulations and then stored in a lookup table, which is then interpolated during the dynamic simulation allowing for high computational efficiency. Nonlinear contact effects and influence of material discontinuities due to lightweighting are taken into account by FE simulations with high level of detail. Finally, the influence of gear body topology is investigated through a sensitivity analysis, in which analytical functions are defined to describe the time-varying mesh stiffness.

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“…Substitute equations (9) and (10) into equation (8) and simplify it, and then obtain: (3) and (11) into equation (6) and obtains:…”

Section: Nonlinear Finite Element Solution To the Contact Problemmentioning

confidence: 99%

“…Zhang et al [5] carried out a study on the bending fatigue failure of a bevel gear. Palermo et al [6] proposed a contact element to simulate global dynamic behavior of gear assemblies. The tooth engagement behavior of beveloid gears was analyzed through formulating a pitch cone design theory by Zhu [7].…”

Section: Introductionmentioning

confidence: 99%

“…Lumped parameter model and the finite element analysis (FEA) just for teeth were adopted in references [1][2][3][4][5][6][7][8][9][10] to analyze the dynamic characteristics of meshing contact transmission with parallel axis. However, the FEA just for teeth is not fully conformed to actual condition of planetary gear transmission in engineering application, leading to that the actual condition cannot be reflected in full scale.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of dynamic meshing characteristic of planetary gear transmission in wind power increasing gearbox

Wang

Tang

2017

MATEC Web Conf.

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Abstract. Dynamic behavior of planetary gear's tooth contact surface in the different location can better conform operation condition comparing to the general gear pair. Nonlinear finite element algorithm was derived according to the basic control equation of contact dynamics. A finite element model of planetary gear transmission in wind power increasing gearbox was proposed considering different meshing locations based on nonlinear finite element solution. The characteristics of stress distribution at different meshing positions were analyzed. A simulation of the meshing process was conducted using finite element analysis. It was shown that node stresses of external meshing planetary gear varied significantly at different position. The analysis provides some useful insights into the performance of planetary gear's tooth contact surface.

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Multibody element for spur and helical gear meshing based on detailed three-dimensional contact calculations

Cited by 64 publications

References 24 publications

Evaluation of Spur Gear Pair on Tooth Root Bending Stress in Radial Misalignment Contact Condition

Evaluation of Spur Gear Pair on Tooth Root Bending Stress in Radial Misalignment Contact Condition

A Study on the Dynamic Behaviour of Lightweight Gears

Analysis of dynamic meshing characteristic of planetary gear transmission in wind power increasing gearbox

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