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A Study on Simulation Based Validation of Optimized Design of High Precision Rotating Unit for Processing Machinery

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Abstract

With the rapid development of processing technology, the demand for precision, durability and NVH performance of processing machinery has also increased. This paper presents an optimally designed gear train composed of a set each of spiral bevel gears and spur gears to serve as a high precision rotating unit for processing machinery. The safety of each component used in the rotating unit gear train was verified using the geometry method and empirical formulae. The load contact pattern and PPTE value, which is an important indicator of the gear whine characteristic, were optimized using micro geometry modifications. In addition, the transfer efficiency of the entire gear train was determined and a novel dynamic analysis based on the comparison of the dynamic transmission error and the modal flexibility was performed to verify the correctness of the geometry design.

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Abbreviations

\(b_{V}\) :

Face width calculated for the flank, drive or coast side

\(F_{vmt}\) :

Nominal tangential force

\(F_{\text{n}}\) :

Nominal normal force of the virtual cylindrical gear at mean point P

\(K_{A}\) :

Application factor

\(K_{V}\) :

Dynamic factor

\(K_{{{\text{H}}\upalpha}}\) :

Transverse load factor (contact stress)

\(K_{{{\text{H}}\upbeta}}\) :

Face load factor (contact stress)

\(K_{{{\text{F}}\upalpha}}\) :

Transverse load factor (root stress)

\(K_{{{\text{F}}\upbeta}}\) :

Face load factor (root stress)

\(l_{\text{bm}}\) :

Length of contact line in the middle of the zone

\(S_{H - B1}\) :

Safety factor for the contact stress

\(S_{F - B1}\) :

Safety factor for the tooth bending strength

\(Y_{\text{Fa}}\) :

Tooth form factor

\(Y_{Sa}\) :

Stress correction factor

\(Y_{\varepsilon }\) :

Contact ratio factor

\(Y_{BS}\) :

Bevel spiral angle factor

\(Y_{LS}\) :

Load sharing factor (load distribution)

\(Y_{\text{NT}}\) :

Life factor (root stress)

\(Y_{{\updelta,\;{\text{relT}} - {\text{B}}1}}\) :

Relative notch sensitivity factor

\(Y_{{{\text{R}},\;{\text{relT}} - {\text{B}}1}}\) :

Relative surface condition factor

\(Y_{\text{X}}\) :

Size factor (root stress)

\(Z_{{{\text{M}} - {\text{B}}}}\) :

Mid-zone factor

\(Z_{\text{LS}}\) :

Load sharing factor

\(Z_{E}\) :

Elasticity factor

\(Z_{\text{K}}\) :

Bevel gear factor

\(Z_{\text{NT}}\) :

Life factor (contact stress)

\(Z_{X}\) :

Size effect factor (contact stress)

\(Z_{L} ,Z_{V} ,Z_{R}\) :

Lubricant factor

\(Z_{W}\) :

Work hardening factor

\(Z_{Hyp}\) :

Hypoid factor

\(\rho_{rel}\) :

Radius of relative curvature vertical to contact line

\(\upsigma_{\text{FE}}\) :

Allowable stress number (root)

\(\upsigma_{\text{H,lim}}\) :

Allowable stress number (contact), MPa

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Acknowledgements

This study was supported by the Basic Science Research Program through the NRF of Korea (NRF) Funded by the MEST (NRF-2016R1D1A1A09920105).

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Authors and Affiliations

  1. School of Mechanical and Aerospace Engineering, ReCAPT, Gyeongsang National University, 501, Jinju-daero, Jinju-si, Gyeongsangnam-do, 52828, Republic of Korea

    Zhen Qin, Yu-Ting Wu, Amre Eizad, Dong-Seon Kim & Sung-Ki Lyu

  2. R&D Center, KUMHWA Tech Co., Ltd., Changwon-si, Gyeongsangnam-do, Republic of Korea

    Nam-Sool Jeon

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  1. Zhen Qin
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  2. Yu-Ting Wu
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  6. Sung-Ki Lyu
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Correspondence to Sung-Ki Lyu.

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Qin, Z., Wu, YT., Eizad, A. et al. A Study on Simulation Based Validation of Optimized Design of High Precision Rotating Unit for Processing Machinery. Int. J. Precis. Eng. Manuf. 20, 1601–1609 (2019). https://doi.org/10.1007/s12541-019-00155-4

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