_I·Simul"t.dl •• llt1l., 'potlom I I . 1 i t.-------+--'t---I---''r-+----' ~ I :L:'--------- PROURE$$ OF M~SHING d Simul.ted IrlIn.miui .... "'" ..,de, 10 d Figure.11 LJaded contact pattern OIl r<strong>in</strong>g gear flank and tile transmission error (<strong>in</strong>pllt torque » 30 N-m). gears that can accept measured form deviation of real tooth flank form is developed. The gear performance-such as transmission error, contact pattern under load and no load, normal loa.d distribution on tooth flank, contact stre ,tooth fillet stress, flash temperature and vibrational excitation for actual production gears-can now be analyzed. Some simulated results are compared with actual results <strong>in</strong> <strong>the</strong> field and from experience. Also, <strong>the</strong> effectiveness of <strong>the</strong> measurement of tooth flank form accuracy of hypoid gears is discussed. 0 Figure l2-Simulaled l60 stress stale on tooti:flank of lJypoid gears. -.-FU ---+---- A.ppnmmlloa - .......... It 116 (I) Compoo:i... am""l FEA. M ....... d ..,d ,oI',ulll,d fiUet strcs! distributiQf1 with 'tJ:K prog.tcu of mesh<strong>in</strong>g Figure 13 R<strong>in</strong>g gear .tooth fillet stress (torque s» 777 Nvm). e ~ 6 e .g ,l! 'u 11&1 'I< c Abscissa is <strong>the</strong> order tOI Imesh<strong>in</strong>g freq,uency Figure U-Remlt ,of<strong>the</strong> vibrational ,excitation. e ~ Ie ".c: .~ u ~ e Q '1i .0 :> WEAR SiAGE o 0..2 0.4 0.6 0,8 1 Toe: Becl (b) Coolp.ri..,.. __ !'EA. M.U1Dd oM 'oimuI.lt.,d maximum, fillet WCI.I distribution at ODJ toodl width Figure 15-Cllallge of <strong>the</strong> mesh iug frequellcy COlllpO'l.lelltof Jlibratiollal excitation willi:progress of tootiJ flank wear. References I. Saito, Y. er al. "Check of 3D Fonn Aocuracy of Hypoid & Bevel <strong>Gear</strong> Teeth for <strong>the</strong> New Generation of Quality Contra]," AGMA Fall Technical Meet<strong>in</strong>g, 1.998. 2. Kubo, A. et al, "A Computer Based Approach for Evaluation of Operat<strong>in</strong>g Performance of Bevel and Hypoid <strong>Gear</strong>s," lSME International Journal (Series C), Vol.40, No.4, 199'7,pp. 749-758. 3.. Kagimoto, H.et al, "Development of Tooth Surface Measur<strong>in</strong>g Mach<strong>in</strong>e for Hypoid <strong>Gear</strong>s," Toyota Motor Co. Technical. Review, Vol. 43, No. L May 1993,pp. 112-1l7. 4. Wang, Zhonghou, A. Kubo.et aI. "Simulation of Deterioration of Hypoid <strong>Gear</strong> Performance due to Tooth Flank Wear (I st Report, Data Process<strong>in</strong>g of Measured Tooth Flank Wear)," Transactions of <strong>the</strong> Japan Society of Mechallical Eng<strong>in</strong>eers, Vol.66. No. 647, 2000, pp. 2354-2362. 5, Wallg, Zhonghou, A. Kubo et al, "Simulation of Deterioration of Hypoid <strong>Gear</strong> Performance due 10 Tooth flank Wear (2nd Report. Model for Tooth flank Wear and <strong>the</strong> Change ofGerur Performance Resulted}," Transactions of <strong>the</strong> Japan Society of Mechanical Eng<strong>in</strong>eers, Vol.66, No. 647. 2000, pp. 2363-2370, 6. Wang. Zhonghou, A. Kubo et al. "Tooth Root Stress Analysis of Hypoid <strong>Gear</strong>s (2nd Report, Introduction of Predict<strong>in</strong>g Method. for <strong>the</strong> Tooth Root)," Transactions of <strong>the</strong> Japan Society of Mechanical Eng<strong>in</strong>eers, Vol. 66, o. 652, December 2000, pp. 221-227. 7, Wang, Zhonghou, A. Kubo et al. "Measurement of 3D Tooth flank Form of Hypoid <strong>Gear</strong>s and its Usage for High Quality Production and Performance Prediction," International Conference on Mechanical Transmissions, Chongq<strong>in</strong>g, Ch<strong>in</strong>a, April 200 1. Figures <strong>in</strong> Fig. 6,Fig. 7 Which <strong>Gear</strong> I Set Was Used I Fig. 8, Fig. 9, Fig. 10, Fig. 14 Fig. 15 Fig. II, Fig. 12 Fig. 13 Tell Us What You Th<strong>in</strong>k ... Visit www.gesttechnology.comto • Rate this article • Request more <strong>in</strong><strong>format</strong>ion • Contact <strong>the</strong> author or companies mentioned • Make a suggestion Or call (8471437-6604to talk to one of our editors! 30 JULV/AUGUST <strong>2002</strong> ., GEAR TECHNOLOGY' www.gearrechnology.com ., www.oowertrensmtsston.com
Sponsored by <strong>the</strong> American <strong>Gear</strong> Manfacturers Association Greater Columbus Convention. Center Columbus, Ohio October 26 - 29,2003,
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