Comparative FEM Analysis of Gears Modeled With Analytical, Solid Subtracting and Mixed CAD Generating Method

Open access


The paper proposes a comparative FEM analysis of gears solid model bodies, obtained with three different methods. The analytical method is based on the mathematical equations of the tooth flanks. It supposed to be the most accurate and precise solid modeling process. However, it reveals it’s limits by handling of surfaces that are not deduced mathematically, or in case of tooth geometries which needs to be modified in order to perform a quick test regarding the probably effects of the mentioned modifications. The solid subtraction- and the newly developed, mixed CAD method are pure CAD generating methods. As any discrete generating method, their precision is influenced by the fineness of the iteration steps. In case of the mixed CAD solution the precision is influenced by the filtering algorithm applied to the generated Points Cloud. The visual comparison of the three mentioned methods, was presented in previously published papers. The present paper validates the novel mixed CAD method comparing the FEA analysis of the generated solid models.

[1] Logan D.L., A First Course in the Finite Element Method, 6th edition, Thompson Learning, 2017.

[2] Jiande Wang, Howard I.M., “Finite Element Analysis of High Contact Ratio Spur Gears in Mesh”, Journal of Tribology 127(3) · July 2005, DOI: 10.1115/1.1843154.

[3] Ani U., Gerd H., Paul A., Three-dimensional, parallel, finite element simulation of fatigue crack growth in a spiral bevel pinion gear. EngFractMech 2015; 72(8): 1148–1170.

[4] Li H.T., Wei W.J., Liu P.Y., “The kinematic synthesis of involute spiral bevel gears and their tooth contact analysis”, Mech Mach Theory 2014; 79(9): 141–157.

[5] Tieming Xiang, Lizhi Gu, Leilei Xiao, “Accurate modeling of logarithmic spiral bevel gear based on the tooth flank formation and Boolean addition operation”, Sage Journals, Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, Vol 230, Issue 9, pp. 1650 - 1658, 2016.

[6] Tolvaly-Rosca F., Forgó Z., “Mixed CAD method to develop gear surfaces using the relative cutting movements and NURBS surfaces”. Procedia Technology2015; 19(2): 20–27.

[7] Tolvaly-Rosca F., Máté M., Forgó Z., Kakucs A., “Development of Helical Teethed Involute Gear Meshed with a Multi-Edge Cutting Tool Using a Mixed Gear Teeth Modeling Method”, Procedia Engineering, Vol.181, pp.153-158, 2016.

[8] Ding H, Adayi X.Z.D., “Methods of and outlook for the modeling of spiral bevel gear”, Mach Des Manuf 2014; 51(1): 257–260.

[9] Jiang Dan, Wang Lancheng “Research on the method of accurate NURBS surface fitting to scattered points”, The International Journal of Advanced Manufacturing Technology, November 2006, Volume 31, Issue 1–2, pp 92–97.

MACRo 2015

Proceedings of the 5th International Conference on Recent Achievements in Mechatronics, Automation, Computer Sciences and Robotics

Journal Information


All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 107 107 8
PDF Downloads 38 38 3