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Vibration attenuation on spur gears through optimal profile modification based on an alternative dynamic model

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Abstract

The dynamic characteristic of a gear transmission system is an important parameter to define its quality. The variation in the number of teeth in contact during rotation of the gears has a large contribution to the vibrations of these systems. From this context, the need to evaluate the dynamic characteristics of the gear while it is still in the design phase is highlighted. In this work, the influence of addendum modification to the tooth profile of spur gears on the gear mesh vibration was studied. For this purpose, simulations were performed in order to determine an optimal value to the modification parameter capable of minimizing the vibrations. The model of the dynamic system used in this problem considers time-varying meshing stiffness and damping, and it includes an improvement to the equivalent mass calculation compared to other works in the field. It is shown that the amount of modification obtained for specified operating conditions presents optimal results only for those designed conditions, and its behavior degrades significantly if operating conditions change. From the comparison between the simulation results of the optimized and original system, it is concluded that the optimal modification brings the dynamic responses closer to the static ones, with change rates close to zero and nearly constant transmission error, providing minimal vibration to the system.

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Abbreviations

AGMA:

American Gear Manufacturers Association

BDF:

Backward differentiation formulae

CAD:

Computer aided design

DMF:

Dynamic meshing force

DTE:

Dynamic transmission error

EHL:

Elasto-hydrodynamic lubrication

FEA:

Finite element analysis

HPSTC:

Highest point of single tooth contact

LOA:

Line of action

LPSTC:

Lowest point of single tooth contact

LTCA:

Loaded tooth contact analysis

RMS:

Root mean square

TCA:

Tooth contact analysis

TE:

Theoretical transmission error

TPM:

Tooth profile modification

TVMD:

Time-varying meshing damping

TVMS:

Time-varying meshing stiffness

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Acknowledgements

The authors of this research work wish to acknowledge Universidade Federal do Amazonas (UFAM) and Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) for the resources and amenities provided during the implementation of this work.

Funding

This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) - Finance Code 001.

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Author notes

  1. Gustavo C. Silva Neto, Danilo S. Chui have contributed equally to this work.

Authors and Affiliations

  1. Departamento de Engenharia Mecânica, Faculdade de Tecnologia da Universidade Federal do Amazonas (UFAM), Av. Rodrigo Otávio, 6200, Manaus, AM, 69080-900, Brazil

    Flávio H. A. S. Dias, Gustavo C. Silva Neto & Danilo S. Chui

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  1. Flávio H. A. S. Dias
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  2. Gustavo C. Silva Neto
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  3. Danilo S. Chui
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Correspondence to Danilo S. Chui.

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Dias, F.H.A.S., Silva, G.C. & Chui, D.S. Vibration attenuation on spur gears through optimal profile modification based on an alternative dynamic model. J Braz. Soc. Mech. Sci. Eng. 46, 10 (2024). https://doi.org/10.1007/s40430-023-04574-3

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