Methodology of Designing the Geometry of the Bevel Gear Using Numerical Simulation to Generate the Teeth Flank Surfaces

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The present paper describes modern methodology of the bevel gear design with a particular focus on issues concerning the theoretical basis and the preparation of the numerical simulation of the machining. The assumptions used in developing the mathematical model of cutting teeth are given and an example of the teeth flank surfaces of a gear and a pinion resulting from the virtual processing is shown. The correctness of the mathematical model of cutting teeth was verified by comparing the resulting based on the model grid points, the side of the tooth surface, resulting from the simulation cutting teeth in CAD. A high convergence of the two surface geometry was demonstrated, which allows for the use of the analysis for each of the models independently.

1. Artoni A., Gabiccini M., Guiggiani M., (2008), Nonlinear identification of machine settings for flank form modifications in hypoid gears, Journal of Mechanical Design, 130 (2008), 112602.

2. Gabiccini M., Artoni A., Guiggiani M., (2012), On the identification of machine settings for gear surface topography corrections, Journal of Mechanical Design 133, 041004 (1-8).

3. Litvin F. L., Fuentes A. (2004), Gear geometry and applied theory, Cambridge Univ Pr.

4. Litvin F. L., Fuentes A., Hayasaka K. (2006), Design, manufacture, stress analysis, and experimental tests of low-noisehigh endurance spiral bevel gears, Mechanism and Machine Theory, 41, 83-118.

5. Marciniec A. (2003), Synthesis and analysis of meshing for spiral bevel gears, Publishing House of Rzeszow University of Technology, Rzeszow (in Polish).

6. Marciniec A., Sobolewski B. (2010), Simulation of spiral bevel gear cutting process in environment of Inventor 2010, Engineering Forum ProCAx, Sosnowiec-Siewierz (in Polish).

7. Marciniec A., Pisula J., Płocica M., Sobolewski B. (2011), Design of bevel gears using mathematical modeling and simulation in the CAD environment, Mechanik, 7, 602-605 (in Polish).

8. Pisula J.; Płocica M. (2012), Analysis of meshing of bevel gears on the basis of a mathematical model of machining processes and direct simulation of cutting in Inventor, Mechanik, 1, 78-79 (in Polish).

9. Pisula J. (2006), Mathematical model of geometry and meshing of generating cylindrical gear teeth, Doctoral thesis, Rzeszow (in Polish).

10. Simon V. (2008), Machine-Tool Settings to Reduce the Sensitivity of Spiral Bevel Gears to Tooth Errors and Misalignments, ASME Journal of Mechanical Design, 130(8), 082603, 1-10.

11. Sinh Y. (2010), A novel ease-off flank modification methodology for spiral bevel and hypoid gears, Mechanism and Machine Theory 45, 1108-1124.

Acta Mechanica et Automatica

The Journal of Bialystok Technical University

Journal Information

CiteScore 2017: 1.07

SCImago Journal Rank (SJR) 2017: 0.361
Source Normalized Impact per Paper (SNIP) 2017: 0.917


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