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Design, generation and TCA of new type of asymmetric face-gear drive with modified geometry. (English) Zbl 0999.70005
The authors proposed and study new types of face-gear drives in transmissions, particularly in helicopter transmissions. The new geometry differs from the existing by application of asymmetric profiles and double-crowned pinion of the drive. This article covers computerized design, simulations of meshing and contact, and stress analysis by finite element method. The authors also develop computer programs for the design of conventional and new asymmetric face-gear drives. The research is illustrated with numerical examples.

MSC:
70B15 Kinematics of mechanisms and robots
70-08 Computational methods for problems pertaining to mechanics of particles and systems
74M15 Contact in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
Software:
ABAQUS/Standard
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References:
[1] ABAQUS/Standard 5.8 User’s Manual, Hibbitt, Karlsson & Sorensen, Inc
[2] Favard, J., Course of local differential geometry, (1957), Gauthier-Villars Paris, (in French, translated into Russian)
[3] I-Deas Master Series Manual, SDRC Part No P-50002, Structural Dynamics Research Corporation
[4] IMSL Math/Library: User’s Manual, MALB-USM-UNBND-EN8901-1.1,2500, Citynest Bl. Houston, Texas
[5] Korn, G.A.; Korn, T.M., Mathematical handbook for scientists and engineers, (1968), McGraw-Hill New York · Zbl 0535.00032
[6] Litvin, F.L.; Lian, Q.; Kapelevich, A.L., Asymmetric modified spur gear drives: reduction of noise, localization of contact, simulation of meshing and stress analysis, Comput. methods appl. mech. engrg., 188, 363-390, (2000) · Zbl 0979.74053
[7] Litvin, F.L., Gear geometry and applied theory, (1994), Prentice-Hall Englewood Cliffs, NJ
[8] Litvin, F.L.; Egelja, A.; Tan, J.; Heath, G., Computerized design generation and simulation of meshing of orthogonal offset face-gear drive with a spur involute pinion with localized bearing contact, Mechanism machine theory, 33, (1998) · Zbl 1052.70508
[9] F.L. Litvin, N. Chen, C. Hsiao, Report on the Project: Advanced Design, Manufacturing and Stress Analysis of Face-Gear Drives (Task 2), prepared for McDonell Douglas Helicopter Co
[10] F.L. Litvin, J.-C. Wang, Y.-J.D. Chen, R.D. Bossler, G. Heath, D.J. Lewicki, Face-gear drives: design, analysis and testing for helicopter transmission applications, AGMA paper 92FTM2, 1992
[11] Litvin, F.L.; Zhang, Y.; Wang, J.-C.; Bossler, R.B.; Chen, Y.-J.D., Design and geometry of face-gear drives, ASME J. mech. design, 114, (1992)
[12] Zalgaller, V.A., Theory of envelopes, (1975), Publishing House Nauka Moscow, (in Russian)
[13] Zalgaller, V.A.; Litvin, F.L., Sufficient condition of existence of envelope to contact lines and edge of regression on the surface of the envelope to the parametric family of surfaces, Proceedings of universities: mathematics, 3, 178, 20-23, (1977), (in Russian) · Zbl 0355.53001
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