A dynamic model to determine vibrations in involute helical gears

Andersson, Åke; Vedmar, Lars

doi:10.1016/s0022-460x(02)00920-3

Cited by 107 publications

(72 citation statements)

References 8 publications

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“…For this reason, hybrid approaches, combining FE and analytical modelling, have been developed [14,15]. A gear dynamics simulation model, which uses a mortar-based mesh interface for hybrid FE/lumped-parameter models, was proposed and applied to analyse the dynamic behaviour of thin-rimmed geared systems in [16].…”

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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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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“…(7) and (8) into Eqs. (9) and (10), the general equations of meshing are obtained in the following form: (12) where ( )…”

Section: Kinematical Modellingmentioning

confidence: 99%

“…Almost all of the research conducted on gear dynamic behavior is limited to unmodified conjugate gears [2][3][4][5][6][7][8], thereby leaving these questions regarding the dynamic behavior of gears with profile modifications unanswered. It used to be that profile modifications were mostly considered at the level of static and/ or kinematic calculations [9][10]; however this trend is changing [11][12].…”

Section: Introductionmentioning

confidence: 99%

Calculation of Spur Gear Dynamic Transmission Error in Consideration of the Progressive Engagement of Compliant Profile-modified Teeth

Dimitriou¹,

Fokas²

2015

MATEC Web of Conferences

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Abstract.A simple yet accurate model is developed for the dynamical simulation of profile-modified gears, considering the effects of progressive tooth engagement, stiffness, elastohydrodynamic lubricant film formation and hysteresis. The real path of contact, stiffness and elastohydrodynamic lubricant film thickness are calculated for various operating conditions and the results are input to the dynamical simulation, resulting in a prediction of the dynamic transmission error.

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“…A variety of models have been developed for the diagnostics of different faults, such as gear spalling or tooth breakage [7,[10][11][12], tooth crack [13][14][15][16], shaft misalignment [17,18], tooth surface pitting and wear [19][20][21][22][23][24][25]. More models have been developed to analyse the time varying mesh stiffness in a helical gear [26][27][28][29][30] and to study the effect of parametrical design on the dynamic behaviour of helical gear system [31][32][33][34]. Numerical models can be very valuable for gaining in-depth understanding of the complex interaction between transmission components, whereby effective methods to process vibration signals for implementing accurate and reliable diagnostics can be developed.…”

Section: Introductionmentioning

confidence: 99%

Helical gear wear monitoring: Modelling and experimental validation

Brethee

Zhen

et al. 2017

Mechanism and Machine Theory

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Gear tooth surface wear is a common failure mode. It occurs over relatively long periods of service nonetheless, it degrades operating efficiency and lead to other major failures such as excessive tooth removal and catastrophic breakage. To develop accurate wear detection and diagnosis approaches at the early phase of the wear, this paper examines the gear dynamic responses from both experimental and numerical studies with increasing extents of wear on tooth contact surfaces. An experimental test facility comprising of a back-to-back two-stage helical gearbox arrangement was used in a run-tofailure test, in which variable sinusoidal and step increment loads along with variable speeds were applied and gear wear was allowed to progress naturally. A comprehensive dynamic model was also developed to study the influence of surface wear on gear dynamic response, with the inclusion of time-varying stiffness and tooth friction based on elasto-hydrodynamic lubrication (EHL) principles.The model consists of an 18 degree of freedom (DOF) vibration system, which includes the effects of the supporting bearings, driving motor and loading system. It also couples the transverse and torsional motions resulting from time-varying friction forces, time varying mesh stiffness and the excitation of different wear severities. Vibration signatures due to tooth wear severity and frictional excitations were acquired for the parameter determination and the validation of the model with the experimental results. The experimental test and numerical model results show clearly correlated behaviour, over different gear sizes and geometries. The spectral peaks at the meshing frequency components along with their sidebands were used to examine the response patterns due to wear. The paper concludes that the mesh vibration amplitudes of the second and third harmonics as well as the sideband components increase considerably with the extent of wear and hence these can be used as effective features for fault detection and diagnosis.

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A dynamic model to determine vibrations in involute helical gears

Cited by 107 publications

References 8 publications

A Study on the Dynamic Behaviour of Lightweight Gears

A Study on the Dynamic Behaviour of Lightweight Gears

Calculation of Spur Gear Dynamic Transmission Error in Consideration of the Progressive Engagement of Compliant Profile-modified Teeth

Helical gear wear monitoring: Modelling and experimental validation

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